Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 16.3, Problem 42E
In Exercises 16.42-16.47. wt provide data from independent simple random samples from several populations. In each case.
- a. compare SST, SSTR, and SSE by using the computing formulas given in Formula 16.1 on page 709.
- b. compare your results in part (a) for SSTR and SSE with those you obtained in Exercises 16.24-16.29. where you employed the defining formulas.
- c. construct a one-way ANOVA table.
- d. decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples were drawn are not all the same.
16.42
Sample 1 | Sample 2 | Sample 3 |
1 | 10 | 4 |
9 | 4 | 16 |
8 | 10 | |
6 | ||
2 |
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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.)
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Is there evidence that the proportions falling into each of the two response categories are not the same for males and females? Use the
?2
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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.
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Give the conclusion using a 5% significance level.
Reject H0.
Do not reject H0.
Chapter 16 Solutions
Introductory Statistics (10th Edition)
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