Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 16.3, Problem 46E
(a)
To determine
To compute: The SST, SSTR and SSE.
(b)
To determine
To compare: The values of SSTR and SSE values obtained by computing and defined formulae.
(c)
To determine
To construct: One-way ANOVA table.
(d)
To determine
To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.
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Chapter 6, Section 5, Exercise 236
Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d=x1-x2.Test H0 : μd=0 vs Ha : μd≠0 using the paired difference sample results x¯d=10.51, sd=11.6, nd=25.
Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = Enter your answer; test statisticp-value = Enter your answer; p-value
Give the conclusion using a 5% significance level.
Reject H0.
Do not reject H0.
In Exercises 5–20, assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. (Note: Answers in Appendix D include technology answers based on Formula 9-1 along with “Table” answers based on Table A-3 with df equal to the smaller of n1 − 1 and n2 − 1.)
Car and Taxi Ages When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distribution), he recorded the ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the license plates. (There is no end to the fun of traveling with the author.) The ages (in years) are listed below. We might expect that taxis would be newer, so test the claim that the mean age of cars is greater than the mean age of taxis.
Chapter 6, Section 4-HT, Exercise 212
Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.Test H0 : μT=μC vs Ha : μT<μC using the fact that the treatment group (T) has a sample mean of 8.6 with a standard deviation of 4.1 while the control group (C) has a sample mean of 11.2with a standard deviation of 3.4. Both groups have 25 cases.
(a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value =
(b) What is the conclusion of the test at a 5% significance level?
Reject H0.
Do not reject H0.
Chapter 16 Solutions
Introductory Statistics (10th Edition)
Ch. 16.1 - How do we identify an F-distribution and its...Ch. 16.1 - How many degrees of freedom does an F-curve have?...Ch. 16.1 - What symbol is used to denote the F-value having...Ch. 16.1 - Using the F-notation, identify the F-value having...Ch. 16.1 - An F-curve has df = (12, 7). What is the number of...Ch. 16.1 - An F-curve has df = (8, 19). What is the number of...Ch. 16.1 - In Exercises 16.716.10, use Table VIII in Appendix...Ch. 16.1 - Prob. 8ECh. 16.1 - Prob. 9ECh. 16.1 - Prob. 10E
Ch. 16.2 - One-way ANOVA is a procedure for comparing the...Ch. 16.2 - If we define s=MSE, of which parameter is s an...Ch. 16.2 - Explain the reason for the word variance in the...Ch. 16.2 - For a one-way ANOVA test, suppose that, in...Ch. 16.2 - Regarding one-way ANOVA, fill in the blanks in...Ch. 16.2 - Regarding one-way ANOVA, fill in the blanks in...Ch. 16.2 - Regarding one-way ANOVA, fill in the blanks in...Ch. 16.2 - Explain the logic behind one-way ANOVA.Ch. 16.2 - What does the term one-way signify in the phrase...Ch. 16.2 - Figure 16.6 shows side-by-side boxplots of...Ch. 16.2 - Figure 16.7 shows side-by-side boxplots of...Ch. 16.2 - Discuss two methods for checking the assumptions...Ch. 16.2 - In one-way ANOVA, what is the residual of an...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29. we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - Show that, for two populations, MSE=sp2, where is...Ch. 16.2 - Suppose that the variable under consideration is...Ch. 16.3 - Suppose that a one-way ANOVA is being performed to...Ch. 16.3 - We stated earlier that a one-way ANOVA test is...Ch. 16.3 - Following are the notations for the three sums of...Ch. 16.3 - State the one-way ANOVA identity, and interpret...Ch. 16.3 - True or false: If you know any two of the three...Ch. 16.3 - In each part, specify what type of analysis you...Ch. 16.3 - Prob. 38ECh. 16.3 - In Exercises 16.38-16.41, fill in the missing...Ch. 16.3 - In Exercises 16.38-16.41 fill in the missing...Ch. 16.3 - Prob. 41ECh. 16.3 - In Exercises 16.42-16.47. wt provide data from...Ch. 16.3 - In Exercises 16.42-16.47, we provide data from...Ch. 16.3 - Prob. 44ECh. 16.3 - Prob. 45ECh. 16.3 - Prob. 46ECh. 16.3 - Prob. 47ECh. 16.3 - Prob. 48ECh. 16.3 - Copepod Cuisine. 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A B C...Ch. 16 - Losses to Robbery. The Federal Bureau of...Ch. 16 - Prob. 25RPCh. 16 - Prob. 26RPCh. 16 - Prob. 27RPCh. 16 - Losses to Robbery. Refer to Problem 24. a. At the...Ch. 16 - Foot-pressure Angle. Genu valgum, commonly known...Ch. 16 - Prob. 30RPCh. 16 - Prob. 31RPCh. 16 - Prob. 32RPCh. 16 - In Problems 3234, use the technology of your...Ch. 16 - Prob. 34RPCh. 16 - Prob. 35RPCh. 16 - In Problems 3537, refer to the specified problem...Ch. 16 - Prob. 37RPCh. 16 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 16 - SELF-PERCEPTION AND PHYSICAL ACTIVITY As you...
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