How To Do 4th Root On Ti-83 Plus

• Contents
• Table of Contents
• Bookmarks

Quick Links

TI-83, TI-83 Plus and the TI-84

GRAPHING CALCULATOR MANUAL

James A. Condor

Manatee Customs College

to accompany

Introductory Statistics

Sixth Edition

by

Prem S. Mann

Eastern Connecticut State University

JOHN WILEY & SONS, INC.

Related Manuals for Texas Instruments TI-83 Plus

Summary of Contents for Texas Instruments TI-83 Plus

• Page 1 TI-83, TI-83 Plus and the TI-84 GRAPHING Computer MANUAL James A. Condor Manatee Community College to accompany Introductory Statistics Sixth Edition Prem Southward. Isle of man Eastern Connecticut Country University JOHN WILEY & SONS, INC.
• Page 2 Contents Preface Introduction Organizing Data Numerical Descriptive Measures Probability Discrete Random Variables Continuous Random Variables Sampling Distributions Estimation of the Mean and Proportion Hypothesis Tests: Mean and Proportion x Ii Populations 11 Chi-Square Tests 12 Analysis of Variance xiii Unproblematic Linear Regression 14 Nonparametric Methods...

• Page 3: Preface

  John Wiley & Sons, Inc., but should besides evidence useful with other texts. It will not explain the underlying statistics but instead focus on how best to employ the TI-83, TI-83 Plus, and TI-84 Plus calculators in computing them.

• Page 4: Introduction

  Chapter Introduction Use of Technology Statistics is a field that deals with sets of information. After the information is collected information technology needs to be organized and interpreted. There is a limit to how much of the work tin can be done finer without the help of some blazon of technology.
• Page 5 Advantages to Using the TI-83, TI-83 Plus, and TI-84 Plus This calculator transmission will focus on how to get the most out of using the TI-83, TI-83 Plus, and the TI-84 Plus calculators by Texas Instruments. The TI-83 was first released in 1996, improving upon its predecessors the TI-81 and TI-82 with the addition of many advanced statistical and financial functions.
• Page 6 Press the STAT key. To input data or to brand changes to an existing set of data values use the Edit function. (number one nether the EDIT list). Press the number i cardinal. If your stat listing editor does non show the columns labeled L1, L2, and L3 yous can set up the Editor past selecting SetUpEditor on the previous screen.
• Folio 7 Use the up and down pointer keys to go back and forth between the numbers. Endeavour changing the value of one of the entries by typing in a new weight. Immigration a Listing of Data Values After a listing of data values is no longer needed yous tin delete the values by using one of the following methods.
• Folio viii On the other paw, yous cannot just blazon the name of a named list from the keyboard using the ALPHA key. List names on the TI-83, TI-83 Plus, and TI-84 Plus calculators are distinguished from the names of other variables by a small L to the left of the name. To meet this, get into the...
• Page 9 If that should happen go into the MEM carte (above the + cardinal) and follow the sub-menus for deleting items from your calculator. This is one of the few places where the steps differ between the TI-83, TI-83 Plus, and TI-84 Plus calculators. Merely follow the instructions on the screen.
• Page 10 Exercises 1. Store the post-obit numbers into the list L2: 11, 23, 35, 47, 59 2. Shop the following numbers into the list ABC: 2, 3, 5, seven, 11, thirteen 3. Configure the Stat Listing Editor to display lists L2, ABC, and L5. 4.

• Page 11: Organizing Data

  Ane of the simplest ways of organizing data is to group together like values. In one case nosotros've grouped them together nosotros can count how many elements there are in each grouping. Since the TI- 83, TI-83 Plus, and TI-84 plus calculators work only with numerical data, we volition be trying to group numbers together.
• Page 12 Team Home Runs Squad Home Runs Anaheim Milwaukee Arizona Minnesota Atlanta Montreal Baltimore New York Mets Boston New York Yankees Chicago Cubs Oakland Chicago White Sox Philadelphia Cincinnati Pittsburgh Cleveland St. Louis Colorado San Diego Detroit San Francisco Florida Seattle Houston Tampa Bay Kansas City...
• Page 13 Press the GRAPH key. Press the TRACE key. Use the pointer keys to movement from ane bar to the other. (this will supply data on the frequency in each category and the range of values in each category). The histogram provides united states with the following information. _Class_ Frequency 124-145...
• Page xiv We're going to construct a frequency histogram from the data. The data ranges from 15.4 to 31.2 so nosotros will have our classes get from 15 to 33. That is a range of 33 − 15 = 18, so we volition construct six classes of width 3.
• Page 15 Creating a Dotplot You can create a Dotplot by using the scatterplot choice under STATPLOT. The steps to create the dotplot are very similar to those needed to create the histogram. We volition employ the data stored nether the label WORK that we used to create the histogram in the previous example. Press the STAT cardinal.
• Page 16 Exercises 1. Accept the following statistics test scores and construct a frequency histogram for them with classes from 50 to 59, from 60 to 69, from 70 to 79, from 80 to 89, and from 90 to 99. 2. Create a dot plot using the above information values. Solutions 1.

• Page 17: Numerical Descriptive Measures

  After learning near percentiles, some other visual display can exist created chosen the box-and-whisker plot. On the TI-83, TI-83 Plus, and TI-84 Plus calculators, many numerical descriptive statistics for one variable are gathered together into 1 command called 1-Var Stats. At that place are two ways of using this command: with ungrouped data and with grouped information.
• Folio 18 Instance: Prices of CDs. The following data values are the prices of the same popular CD sold from ten different discount stores. 12.95, 14.90, 11.57, fourteen.65, 17.95, 21.25, 12.95, 20.35, x.95, 25.05 Printing the STAT key. Press the number 1 key. Enter the data values into L1.
• Page xix The last five numbers (minimum, offset quartile, median, 3rd quartile, and maximum) are collectively known as the five-number summary of the data. From the five-number-summary we can compute the range, which is the departure betwixt maxX and minX, and the interquartile range, which is the difference between Q3 and Q1.
• Page 20 The first line displays the sample mean, Ë = 78 million dollars. The fourth line displays the sample standard difference, Sx = 34.4 million dollars. Utilize the down arrow fundamental to see that the median payroll is 75 million dollars. The interquartile range is plant past subtracting the two quartiles Q3−Q1 = 109.five −...
• Page 21 Grouped Information Sometimes a gear up of data values has many numbers that show up over and once again. Instead of typing those numbers in over and once again you can save time by typing in the numbers that repeat along with how many times it repeats. Example: Multiple Frequencies The following is a list of information values that are ungrouped.
• Page 22 Measures of Position Percentiles The TI-83, TI-83 Plus, and TI-84 Plus exercise non perform percentile calculations directly, only do simplify them tremendously by helping us to sort data with the control SortD( . Once the data is sorted, the kth percentile is institute by counting up to the kth position in the sorted data and dividing by the number of data values in the information set.
• Page 23 Unproblematic Statistics Final Exam Scores Enter the exam scores into a listing with the name Terminal. Press the STAT key. Press the number ane key. Press the ▲ key to highlight L1. Press the 2 key and so the DEL cardinal to get to INS. Type in Concluding for the proper noun of the new listing.
• Page 24 Box-and-Whisker Plot The TI-83, TI-83 Plus, and TI-84 Plus calculators will take a list of data and automatically describe a box-and-whisker plot for that information. Since in that location are a number of different types of plots available on the calculator, information technology is important to brand sure that all other plots are turned off before you begin or you graph will be cluttered with several unrelated plots being graphed at the same time.
• Page 25 Set the Freq: to one. Press the ZOOM central. Printing the number 9 key. We take two different types of box-and-whisker plots to select from. I volition separate outliers from the maximum or minimum value and the other will include the outliers in to whiskers. If you select the picture that shows two dots later the maximum on the plot, the outliers volition be shown outside of the whiskers.
• Folio 26 Exercises 1. Find the mean and sample standard deviation for the following data: 34 23 55 91 23 34 12 34 98 23 two. Find the median and interquartile range for the following grouped data: Score Frequency iii. What is the percentile rank of 82 in the following data? 4.

• Page 27: Probability

  Chapter Probability Generating Random Numbers When working with probabilities, it is sometimes useful to generate numbers that y'all tin't predict, but at the same time follow some standard rules. Reckoner simulations are a mutual example of the need for random occurrences inside a structured setting. These numbers are called pseudo-random numbers since they are not totally random.
• Page 28 Press the ENTER key. Press the ENTER key over again. If y'all continue to press the ENTER key you will generate a different random number between zippo and one each fourth dimension you press the ENTER cardinal. Generating Random Numbers Between any Two Values If you would like to generate random existent numbers that are every bit likely to occur and fall inside a specified range of values you can utilise the rand part with some additional commands.
• Page 29 (ane,100,20)→L1. Generating Other Kinds of Real Numbers There are two other functions congenital into the TI-83, TI-83 Plus, and TI-84 Plus calculators to generate random numbers. At that place are many situations in statistics where you need to generate numbers from distributions where the numbers are non equally likely to occur. Two of the about normally used distributions used in statistics are the normal and the binomial.
• Page 30 The syntax for these functions are like to those needed for the randInt( function. For case, if you lot wanted to generate thirty numbers from a normal distribution with a hateful of 45 and a standard departure of 8 and shop them in L2 you would select number half dozen and type in randNorm(45, eight, thirty)→L2.
• Page 31 Exercises 1. Create a random integer value between l and 60 inclusive. 2. Create a random real number betwixt 3 and 17. 3. Generate 15 random integer values betwixt 1 and 50 and store them in L1. iv. Select 10 values from a normally distributed population with a mean of 22 and a standard difference or two.6.

• Page 32: Discrete Random Variables

  For example: Value (x) Probability P(x) The TI-83, TI-83 Plus, and TI-84 Plus calculators allow you to input the values and their probabilities into split lists and use the 1-Var Stats office to compute the descriptive statistics.
• Page 33 Press the STAT key. Press the number i key. Enter the ten values into L1. Enter the P(x) probabilities into L2. Press the STAT fundamental. Printing the ► key to highlight CALC. Press the number i key When 1-Var Stats appears on the calculator screen, type in L1, L2 to get i-Var Stats L1, L2. Afterward yous press the ENTER fundamental y'all will go the descriptive statistics which includes the population mean and standard departure.
• Folio 34 Permutations Another common role needed to compute dependent probabilities that uses factorial is the permutation formula. The number of permutations is normally written as nPr; on the estimator with the symbol P written betwixt n and r, where n is the total number of elements, and r is the number existence selected.
• Page 35 Binomial Probabilities The control for computing binomial probabilities is binompdf( , which is located on the DISTR folio (which is plant in yellowish above the fourth primal in the quaternary row). To find the probability of x successes out of n trials, each with probability p of success, type binompdf(n, p, x).
• Folio 36 Find the probability that at most 2 or less of these x packages will not make it at its destination within the specified time. Press the 2 primal and then press the VARS key to get to the DISTR page. Press the ALPHA key and so printing the MATH fundamental to go to the letter A which is the binomcdf( role.
• Page 37 Case: New Bank Accounts Suppose that on the average two new accounts per mean solar day are opened at an Imperial Savings Branch bank. Let'due south find the probability that on a given twenty-four hour period at least 7 new accounts are opened. The complement of opening at least 7 new accounts is opening at about 6 new accounts, which has probability poissoncdf(ii, vi) = 0.9955.
• Page 38 Exercises one. Observe 13! 2. Find the number of means to deal a v-carte du jour mitt from a deck of 52 cards. 3. Detect the number of four-digit numbers that don't have whatsoever digits repeated. 4. A company has fifty fork-lifts. On any given mean solar day each fork-elevator has a 1% take a chance of needing maintenance.

• Folio 39: Continuous Random Variables

  Traditionally normal distribution probabilities were figured using a normal distribution table. The table method is being replaced with calculators such equally the TI-83, TI-83 Plus, and TI-84 Plus. The figurer reduces the time needed to perform the calculations and reduces the rounding errors that occur considering of the brevity of the tables in unproblematic statistics textbooks.
• Page twoscore Press the ii primal and then the VARS primal to get to the DISTR page. Press the number 1 key. Blazon in 1, 0, one) to get normalpdf(1,0,one). Press the ENTER to get .242. To find the probability of getting a value that falls within a range of values from the standard normal distribution you can apply the normalcdf( part which stands for normal cumulative density function.
• Folio 41 Printing the number ii key. Blazon in the number -1. Press the 2 fundamental and and so the , (comma) key to get the exponential sign E. Type in 99, 0, 1) after the E. Press the ENTER primal. The probability is .159. Instance: Finding the Area to the Right To find the area to the right of a number a, blazon normalcdf(a, 1E99).
• Folio 42 Example: Finding the Expanse Between ii values. To find the surface area betwixt two numbers a and b, type normalcdf(a, b, 0, 1). Notice the probability of getting a value betwixt 1.04 and 1.82 on the standard normal distribution. Press the ii key and then the VARS fundamental to become to the DISTR page.
• Folio 43 Find the probability of getting a score less than 32 given the distribution is normally distributed with a mean of 45 and a standard deviation of 12. Using the normalcdf( function and typing in -1E99, and then the score 32 with a mean of 45 and standard divergence of 12 we get the probability .139.
• Folio 44 To notice the score that is associated with the lowest ane% of the area under the normal distribution we use invNorm( . Printing the two key and then the VARS cardinal to go to the DISTR page. Press the number three key. Type in .01, 54, 8).
• Page 45 Exercises 1. What is the probability that a z-score will prevarication between two and 3? 2. How likely is it for a z-score to be over 2.5? 3. What is the chance that a z-score is less than 1.3? 4. The heights in inches at a certain age are usually distributed with mean 48 and standard deviation 3.2.

• Folio 46: Sampling Distributions

  Ë Ë To find the probability that a < Ë < b on the TI-83, TI-83 Plus, and TI-84 Plus calculators, apply normalcdf(a, b, µ, σ/ ). The process is the same as finding the probability of a single value except for the standard deviation beingness divided past the foursquare root of the sample size.
• Folio 47 Press the two central and so press the VARS fundamental to become to the DISTR page. Press the number 2 central. Type in -1E99, 31.8, 32, .3/ xx )) Press the ENTER key. The probability is .0014. Instance: Tuition According to a recent College report, the boilerplate tuition and fees at four year private colleges and universities in the United States is $eighteen,273 for the academic year 2002–2003.
• Page 48 Probabilities for Sample Proportions For a large sample size, we know from the Central Limit Theorem that the sampling distribution pq / for ê is normally distributed with µ = p and σ ê ê To find the probability that a < ê < b on the figurer, use normalcdf(a, b, p, pq / ).
• Folio 49 Exercises i. Assume that the average annual family unit income in a given city is $28,000 with standard deviation $3200. If a random sample of fifty families is taken, what is the chance that the boilerplate income of the 50 families will be over $29,000? 2.

• Folio fifty: Estimation Of The Mean And Proportion

  Affiliate Estimation of the Mean and Proportion In statistics we collect samples to detect things out about a population. If the sample is representative of the population, the sample mean or proportion should be statistically close to the actual population mean or proportion. A way to judge how close the sample statistic may be is to create a confidence interval.
• Page 51 Press the STAT key. Press the ► twice to highlight TESTS. Printing the number seven fundamental. The get-go line under ZInterval has two options for Inpt: Data Stats. If the mean and standard deviation are given in the problem and then Stats should be selected. If the data values are given in the trouble then Data should be selected.
• Page 52 We do not have the population standard departure σ, so we volition employ TInterval. Press the STAT key. Press the ► primal twice to highlight TESTS. Press the number viii key. We exercise not have the information itself, so we volition select Stats. Nosotros enter 15,528 for Ë, 4200 for south , 400 for n, and .99 for the C-Level.
• Page 53 Example: Legal Advice According to a 2002 survey by FundLaw, 20% of Americans needed legal communication during the past twelvemonth to resolve such thorny issues as trusts and landlord disputes. Suppose a contempo sample of thou adult Americans showed that twenty% of them needed legal advice in the past yr to resolve such family-related issues.
• Page 54 Exercises 1. Given that σ = 4 for a given population and the following sample data, find a 95% confidence interval for µ. 24 31 31 34 18 22 ii. Find a ninety% confidence interval for µ given the following sample data from a normal population: 87 97 67 88 97 73 81 3.
• Folio 55 Hypothesis tests about means can be Z-based (if σ is known) or T-based (if σ is unknown and either the population is normal or the sample size is over thirty). The TI-83, TI-83 Plus, and the TI- 84 Plus calculators provide functions for both the Z-Test and the T-Exam. They both provide a p- value for comparing with the test's significance level.
• Page 56 Printing the STAT fundamental. Press the ► key twice to highlight TESTS. Press the number two cardinal. Move the cursor over Stats and press the ENTER key. Type in 50352 for µ Type in 51750 for Ë. Type in 5240 for Sx. Type in 200 for n.
• Page 57 Press the STAT key. Printing the ► key twice to highlight TESTS. Press the number 2 central. Movement the cursor over Stats and press the ENTER fundamental. Type in 65 for µ Blazon in 63 for Ë. Blazon in 2 for Sx. Type in 15 for n.
• Folio 58 defective chips. Test at the v% significance level whether or not the machine needs an adjustment. Our hypotheses are H : p = 4% and H : p > iv%. We will use 1-PropZTest, with p = 0.04, x = 14, n = 200, and p >...
• Page 59 Press the STAT key. Printing the ► key twice to highlight TESTS. Press the number 5 cardinal. Type in .9 for p Type in 129 for x. Type in 150 for due north. Move the cursor over <P and press the ENTER cardinal. Move the cursor over Calculate and press the ENTER key.
• Page 60 Exercises i. Examination at a 5% significance level whether or non µ = 98 given the following sample data from a normal population: two. Exam at a 5% significance level whether or not p is more than 75%, given a sample proportion of lxxx% and a sample size of 235.

• Page 61: Two Populations

  Affiliate Interpretation and Hypothesis Testing: Two Populations Conviction Interval for µ1 − µ2 If you are fortunate enough to have information about the population standard deviations, you can use 2-SampZInt to approximate the divergence µ1 − µ2 between two population means. The well-nigh full general approach, though, to estimating the difference of two population means is to compute a T-based confidence interval, which does not make any assumptions about the population's standard deviations.
• Page 62 Press the STAT cardinal. Press the ► key twice to highlight TESTS. Printing the number ix central. Move the cursor over Stats and printing the ENTER fundamental. Type in 9000 for σ1 Type in 8500 for σ2. Type in 49056 for Ë1. Type in 500 for n1.
• Page 63 Instance: Average Salaries Exam at the one% significance level if the 2001 mean salaries of full-time state employees in New York and Massachusetts are different. We are testing to cull between H : µ1 = µ2 and H : µ1 ø µ2. Since we have the population standard deviations, we will utilize ii-SampZTest.
• Folio 64 Pretest/Posttest. Data is collected from a sample earlier some blazon of treatment and so data is collected over again from that same sample subsequently the treatment. We then work with the mean difference between the pre and posttest scores. The null hypothesis is that the average deviation is zippo.
• Folio 65 The T-Test output shows the: alternative hypothesis: µ>0 test statistic: t=1.226498265 p-value: p=.1329778401 sample mean: Ë=five sample standard divergence: Sx=ten.78579312 sample size: n=7 The p-value is greater than the significance level and then we accept the null hypothesis of no significant difference between the pre and posttest scores. There is not enough show to claim that the special dietary plan was effective in lowering systolic claret pressure.
• Page 66 Enter in the data for the ii-PropZTest. Highlight Calculate and printing the ENTER key. The examination statistics is i.15 and the p-value is .13. Since the p-value is larger than the significance level of one% we accept the null hypothesis. There is not enough evidence to merits significant differences between toothpaste loyalties.
• Page 67 Exercises 1. Given the following sample data from 2 populations, find a 95% confidence interval for µ − µ = 23.five = 17.9 Ë Ë = v.one = 2.iv = 38 = 59 2. Given the following paired data, test at a five% significance level whether or not µ = µ...
• Page 68 Solutions ane. Since nosotros do not accept the population standard deviations, nosotros will use a T-based confidence interval, two-SampTInt, and select Stats. We enter the sample statistics and choose No for the Pooled prompt since we do not know that the population standard deviations are equal. The conviction interval is (3.82, 7.38).

• Folio 69: Chi-Square Tests

  The computed expected frequencies are then stored automatically in some other matrix. The TI-83, TI-83 Plus, and the older models of the TI-84 Plus calculators will not perform the Chi-Square Goodness-of-Fit exam. More recently-manufactured TI-84 Plus calculators have a GOF-Exam function on the STAT folio and in the TESTS list.
• Folio seventy Examination at a 5% significance level whether or non Gender and Opinion are independent. So check the expected frequencies for any possible practical significant differences between the associated observed and expected frequencies. Kickoff the information has to be stored differently than in previous statistical test on the calculator. The data for a Chi-Foursquare exam of independence has to be stored in a Matrix.
• Folio 71 Since the p-value of .016 is less than the significance level of .05 nosotros pass up the null hypothesis that row and column variables are independent. We have show that gender does influence opinions concerning school discipline. The encounter the expected frequencies Press the 2 key and and then the x central.
• Folio 72 Afterwards MATRIX [A] blazon in 2 x2. The 2 represents the number of rows in the tabular array. The 2 represents the number of columns in the tabular array. Press the ENTER key. Enter the information values into the matrix as they appear in the table.
• Folio 73 Exercises 1. Test at a five% significance level whether or not state and blood type are independent of each other using the post-obit sample data. Type O Blazon A Type B Type AB New York California 2. Test at a 5% significance level whether or not car ownership and cell phone ownership are independent of each other using the following sample data.

• Folio 74: Analysis Of Variance

  Chapter Analysis of Variance One-Way Analysis of Variance Nosotros take already seen how to test for the equality of means between 2 different populations with 2-SampZTest and two-SampTTest. With the added supposition of common population standard deviations, we can extend the tests to more than two populations with a technique known as Analysis of Variance (ANOVA for short).
• Page 75 Press the STAT cardinal. Printing the ENTER primal to get to the Stat Editor. Enter the Method I data values into L1. Enter the Method II data values into L2. Enter the Method III data values into L3. Press the STAT key. Press the ►...
• Folio 76 Teller A Teller B Teller C Teller D At a v% level of significance, examination the aught hypothesis that the hateful number of customers served per hour past each of the 4 tellers is the same. Assume all the assumptions required to apply the one-mode ANOVA procedure hold true.
• Page 77 Exercises 1. Test at a five% significance level whether or non these samples come from populations with identical means. Presume that the populations are all unremarkably distributed with identical standard deviations. Solutions 1. The p-value is .779. Accept the null hypothesis. The population ways are not significantly different from each other.

• Page 78: Simple Linear Regression

  Chapter Simple Linear Regression Simple Linear Regression Models A simple linear regression model is an equation describing how to use i variable 10 to predict another y, based on the relationship that we see in sample information. Since we are making predictions that may differ from the actual values, nosotros use the symbol y' for the predicted value of y.
• Folio 79 Creating a Linear Regression Model The TI-83, TI-83 Plus, and the TI-84 Plus calculators accept the office LinReg on the STAT page in the CALC list and will compute a simple linear regression model. Note there are two forms, 1 that writes the equation as ax+b and the other that writes the equation as a+bx.
• Folio lxxx Press the STAT fundamental. Press the ► key. Printing the number eight cardinal. Printing the 2 key and and then the number 1 key to get L1. Press the , (comma) key. Printing the two key and then the number 2 central to get L2. Printing the , (comma) key.
• Page 81 Hypothesis Tests Just because we tin compute a regression model does not mean that it is a valid model. Nosotros tin test whether or non the variable ten can meaningfully predict the variable y past running LinRegTTest to test whether or not B, the population slope coefficient for the model (approximated past b) is actually 0.
• Page 82 Type in L1, L2, Y1. Printing the ENTER key. The LinReg output shows the: general model: y=a+bx y-intercept: a=1.142245989 gradient: b=.264171123 coefficient of determination: r =.9190178504 linear correlation coefficient: r=.9586541871 We perform the examination of H : B = 0 versus H : B >...
• Page 83 Exercises Utilize the post-obit sample data for the exercises in this chapter. Top (in) Weight (lbs) 1. Compute a regression model for this data and also find the coefficient of determination and the linear correlation coefficient. 2. Use the model to estimate the weight of someone who is v'8", i.e., 68 inches tall. 3.

• Page 84: Nonparametric Methods

  Chapter Nonparametric Methods Sign Exam The Sign Test is one of the nearly straight nonparametric methods; knowing nothing about the distribution, we tin can nevertheless test claims most the median of a population considering whatsoever sample measurement stands a 50% chance of being above the median and a 50% chance of beingness below the median.
• Page 85 Home Price i 147,500 2 123,600 three 139,000 4 168,200 five 129,450 6 132,400 vii 156,400 eight 188,210 ix 198,425 x 215,300 Using a v% significance level, can nosotros conclude that the median price differs from $137,000? Our hypotheses are H0 : the median price is $137,000 versus H1 : the median price differs from $137,000.
• Page 86 Our hypotheses are H0 : the median is at least $70 versus H1 : the median is less than $70. For a big sample size (n = 89 households that were above or below $70) nosotros tin utilize 1-PropZTest. The p-value is 0.084, which is greater than our significance level. We fail to turn down the null hypothesis, and believe that the median price is at least $70.
• Page 87 Since the p-value is less than our significance level 2.5%, we reject the goose egg hypothesis. The data leads us to conclude that the diet does lower the median systolic blood force per unit area of adults. Example: Math Anxiety Many students suffer from math anxiety. A statistics professor offered her students a 2-60 minutes lecture on math anxiety and ways to overcome information technology.
• Page 88 Index 1-Var Stats, thirteen analysis of variance, 65 ANOVA, 65 binomial distribution, 28 binomial probabilities, 28 box-and-whisker plot, 20 Key Limit Theorem, 39 combinations, 28 confidence interval, 43 conviction interval for µ, 43 confidence interval for p, 47 contingency tables, 59 creating lists, 4 cumulative binomial probability, 29 information entry, 2...
• Page 89 minimum, xiv naming lists, 4 nonparametric methods, 75 normal distribution, 34 normal probabilities, 34 numbers, pseudo-random, 23 numbers, random, 23 observed frequencies, 59 percentiles, nineteen plot, box-and-whisker, 20 Poisson distribution, 30 Poisson probabilities, 30 population standard departure, xiv probabilities, sample mean, 39 probabilities, sample proportion, 40 pseudo-random numbers, 23 quartile, offset, xiv...

Source: https://www.manualslib.com/manual/808912/Texas-Instruments-Ti-83-Plus.html

Share this post