John Wiley & Sons TI-83 User Manual

TI-83, TI-83 Plus and the TI-84 GRAPHING CALCULATOR MANUAL James A. Condor Manatee Community College to accompany Introductory Statistics Sixt

Exercises 1. Store the following numbers into the list L2: 11, 23, 35, 47, 59 2. Store the following numbers into the list ABC: 2, 3, 5, 7, 11,

Chapter 2 Organizing Data After the data has been input into the calculator one of the tasks of the statistician is to try to make sense of that dat

Team Home Runs Team Home Runs Anaheim 152 Milwaukee 139 Arizona 165 Minnesota 167 Atlanta 164 Montreal 162 Baltimore 165 New York Mets 160 Bos

Press the GRAPH key. Press the TRACE key. Use the arrow keys to move from one bar to the other. (this will supply information on the frequency i

We’re going to construct a frequency histogram from the data. The data ranges from 15.4 to 31.2 so we will have our classes go from 15 to 33. That is

Creating a Dotplot You can create a Dotplot by using the scatterplot option under STATPLOT. The steps to create the dotplot are very similar to thos

Exercises 1. Take the following statistics exam scores and construct a frequency histogram for them with classes from 50 to 59, from 60 to 6

Chapter 3 Numerical Descriptive Measures After data is collected and organized the next step is usually to generate descriptive statistics. Descrip

Example: 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, 11.5

The last five numbers (minimum, first quartile, median, third quartile, and maximum) are collectively known as the five-number summary of the data. Fr

Contents Preface 31 Introduction 42 Organizing Data 113 Numerical Descriptive Measures 174 Probability 275 Discrete Random Variables

The first line displays the sample mean, Ë = 78 million dollars. The fourth line displays the sample standard deviation, Sx = 34.4 million dollars. Us

Grouped Data Sometimes a set of data values has many numbers that show up over and over again. Instead of typing those numbers in over and over agai

Press the STAT key. Press the number 1 key. Enter the times in L1. Enter the frequencies in L2. Press the STAT key. Press the ► key to Highlight

Elementary Statistics Final Exam Scores 76 88 94 73 81 90 62 94 56 71 77 85 76 60 84 73 Enter the exam scores into a list with the name FINA

Box-and-Whisker Plot The TI-83, TI-83 Plus, and TI-84 Plus calculators will take a list of data and automatically draw a box-and-whisker plot for tha

Set the Freq: to 1. Press the ZOOM key. Press the number 9 key. We have two different types of box-and-whisker plots to select from. One will s

Exercises 1. Find the mean and sample standard deviation for the following data: 34 23 55 91 23 34 12 34 98 23 2. Find the media

Chapter 4 Probability Generating Random Numbers When working with probabilities, it is sometimes useful to generate numbers that you can’t predict,

Press the ENTER key. Press the ENTER key again. If you continue to press the ENTER key you will generate a different random number between zero a

After the randInt( function appears on your screen you can type in the minimum and maximum values for the range of random numbers you are searching

Preface Statistics is an important field of study, now more so than ever. We are surrounded by statistical information in work and in our everyday l

The syntax for these functions are similar to those needed for the randInt( function. For example, if you wanted to generate 30 numbers from a norm

Exercises 1. Create a random integer value between 50 and 60 inclusive. 2. Create a random real number between 3 and 17. 3. Generate 15 random

Chapter 5 Discrete Random Variables and Their Probability Distributions Mean and Standard Deviation of a Discrete Random Variable Computing th

Press the STAT key. Press the number 1 key. Enter the x values into L1. Enter the P(x) probabilities into L2. Press the STAT key. Press the ► key

Permutations Another common function needed to compute dependent probabilities that uses factorial is the permutation formula. The number of permuta

Binomial Probabilities The command for computing binomial probabilities is binompdf( , which is located on the DISTR page (which is found in yellow

Find the probability that at most 2 or less of these 10 packages will not arrive at its destination within the specified time. Press the 2nd key

Example: New Bank Accounts Suppose that on the average two new accounts per day are opened at an Imperial Savings Branch bank. Let’s find the probabi

Exercises 1. Find 13! 2. Find the number of ways to deal a five-card hand from a deck of 52 cards. 3. Find the number of four-digit numbers that

Chapter 6 Continuous Random Variables and the Normal Distribution Continuous random variables are used to approximate probabilities where there ar

Chapter 1 Introduction Use of Technology Statistics is a field that deals with sets of data. After the data is collected it needs to be organized a

Press the 2nd key and then the VARS key to get to the DISTR page. Press the number 1 key. Type in 1, 0, 1) to get normalpdf(1,0,1). P

Press the number 2 key. Type in the number -1. Press the 2nd key and then the , (comma) key to get the exponential sign E. Type in 99, 0, 1)

Example: Finding the Area Between two values. To find the area between two numbers a and b, type normalcdf(a, b, 0, 1). Find the probability of

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.

To find the score that is associated with the lowest 1% of the area under the normal distribution we use invNorm( . Press the 2nd key and then the V

Exercises 1. What is the probability that a z-score will lie between 2 and 3? 2. How likely is it for a z-score to be over 2.5? 3. What is the c

Chapter 7 Sampling Distributions A large part of statistics consists of analyzing the probability of getting a sample mean or sample proportion fro

Press the 2nd key and then press the VARS key to get to the DISTR page. Press the number 2 key. Type in -1E99, 31.8, 32, .3/20 )) Pres

Probabilities for Sample Proportions For a large sample size, we know from the Central Limit Theorem that the sampling distribution for ê is normally

Exercises 1. Assume that the average annual family income in a given city is $28,000 with standard deviation $3200. If a random sample of

Advantages to Using the TI-83, TI-83 Plus, and TI-84 Plus This calculator manual will focus on how to get the most out of using the TI-83, TI-83 Plus

Chapter 8 Estimation of the Mean and Proportion In statistics we collect samples to find things out about a population. If the sample is represent

Press the STAT key. Press the ► twice to highlight TESTS. Press the number 7 key. The first line under ZInterval has two options for Inpt: Data

We do not have the population standard deviation σ, so we will use TInterval. Press the STAT key. Press the ► key twice to highlight TESTS. Press t

Example: Legal Advice According to a 2002 survey by FundLaw, 20% of Americans needed legal advice during the past year to resolve such thorny issues

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

Chapter 9 Hypothesis Tests About the Mean and Proportion Hypothesis Tests About Means Hypothesis tests about means can be Z-based (if σ is known) or

Press the STAT key. Press the ► key twice to highlight TESTS. Press the number 2 key. Move the cursor over Stats and press the ENTER key. Type i

Press the STAT key. Press the ► key twice to highlight TESTS. Press the number 2 key. Move the cursor over Stats and press the ENTER key. Type i

defective chips. Test at the 5% significance level whether or not the machine needs an adjustment. Our hypotheses are H0: p = 4% and H1: p > 4%. W

Press the STAT key. Press the ► key twice to highlight TESTS. Press the number 5 key. Type in .9 for p0.Type in 129 for x. Type in 150 for n. Mo

Press the STAT key. To input data or to make changes to an existing set of data

Exercises 1. Test at a 5% significance level whether or not µ = 98 given the following sample data from a normal population: 97 105

Chapter 10 Estimation and Hypothesis Testing: Two Populations Confidence Interval for µ1 − µ2 If you are fortunate enough to have information about

Press the STAT key. Press the ► key twice to highlight TESTS. Press the number 9 key. Move the cursor over Stats and press the ENTER key. Type i

Example: Average Salaries Test at the 1% significance level if the 2001 mean salaries of full-time state employees in New York and Massachusetts are

Pretest/Posttest. Data is collected from a sample before some type of treatment and then data is collected again from that same sample after the trea

The T-Test output shows the: alternative hypothesis: µ>0 test statistic: t=1.226498265 p-value: p=.1329778401 sample mean:

Enter in the data for the 2-PropZTest. Highlight Calculate and press the ENTER key. The test statistics is 1.15 and the p-value is .13. Since

Exercises 1. Given the following sample data from two populations, find a 95% confidence interval for µ1 − µ2: Ë1 = 23.5 Ë2 = 17.9 s1 =

Solutions 1. Since we do not have the population standard deviations, we will use a T-based confidence interval, 2-SampTInt, a

Chapter 11 Chi-Square Tests Contingency Tables When you are measuring the relationship between two categorical variables, one of the most important

Use the up and down arrow keys to go back and forth between the numbers. Try changing the value of one of the entries by typing in a new weight. C

Test at a 5% significance level whether or not Gender and Opinion are independent. Then check the expected frequencies for any possible practical sig

Since the p-value of .016 is less than the significance level of .05 we reject the null hypothesis that row and column variables are independent. We

After MATRIX [A] type in 2 x2. The 2 represents the number of rows in the table. The 2 represents the number of columns in the table. Pre

Exercises 1. Test at a 5% significance level whether or not state and blood type are independent of each other using the following sample da

Chapter 12 Analysis of Variance One-Way Analysis of Variance We have already seen how to test for the equality of means between two different popu

Press the STAT key. Press the ENTER key to get to the Stat Editor. Enter the Method I data values into L1. Enter the Method II data values into L2. E

Teller A Teller B Teller C Teller D19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 13 18 At a 5% level of significance, test the null h

Exercises 1. Test at a 5% significance level whether or not these samples come from populations with identical means. Assume that the popul

Chapter 13 Simple Linear Regression Simple Linear Regression Models A simple linear regression model is an equation describing how to use one vari

Press the STAT key. Press the number 1 key. Type the English scores in L1 Type the Math scores in L2. Press the 2nd key and then the Y= key to get to

You can also store data to a name that you create. From the home screen, you can save a list to a name by using the STO► key. {131, 114, 167, 180, 1

Press the STAT key. Press the ► key. Press the number 8 key. Press the 2nd key and then the number 1 key to get L1. Press the , (comma) key. Pr

Hypothesis Tests Just because we can compute a regression model does not mean that it is a valid model. We can test whether or not the variable x can

Type in L1, L2, Y1. Press the ENTER key. The LinReg output shows the: general model: y=a+bx y-intercept: a=1.142245989 slope: b=

Exercises Use the following sample data for the exercises in this chapter. Height (in) 67 71 62 66 74 64 72 74 Weight (lbs) 195 220 100 168 225

Chapter 14 Nonparametric Methods Sign Test The Sign Test is one of the most direct nonparametric methods; knowing nothing about the distribution,

Home Price 1 147,500 2 123,600 3 139,000 4 168,200 5 129,450 6 132,400 7 156,400 8 188,210 9 198,425 10 215,300 Using a 5% significance level, can w

Our hypotheses are H0 : the median is at least $70 versus H1 : the median is less than $70. For a large sample size (n = 89 households that were abov

Since the p-value is less than our significance level 2.5%, we reject the null hypothesis. The data leads us to conclude that the diet does lower the

Index 1-Var Stats, 13 analysis of variance, 65 ANOVA, 65 binomial distribution, 28 binomial probabilities, 28 box-and-whisker plot, 20 Central Limit T

minimum, 14 naming lists, 4 nonparametric methods, 75 normal distribution, 34 normal probabilities, 34 numbers, pseudo-random, 23 numbers, random, 23

LIST menu, and choose one of the list names there by using the arrow keys and then press the ENTER key. In general, when you need to supply the name