Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 10.3, Problem 27E
Although tea is the world’s most widely consumed beverage after water, little is known about its nutritional value. Folacin is the only B vitamin present in any significant amount in tea, and recent advances in assay methods have made accurate determination of folacin content feasible. Consider the accompanying data on folacin content for randomly selected specimens of the four leading brands of green tea. folacin content for randomly selected specimens of the four leading brands of green tea.
| 1: | 7.9 | 6.2 | 6.6 | 8.6 | 8.9 | 10.1 9.6 |
| 2: | 5.7 | 7.5 | 9.8 | 6.1 | 8.4 | |
| 3: | 6.8 | 7.5 | 5.0 | 7.4 | 5.3 | 6.1 |
| 4: | 6.4 | 7.1 | 7.9 | 4.5 | 5.0 | 4.0 |
(Data is based on "Folacin Content of Tea,” J. of the Amer. Dietetic Assoc., 1983: 627-632.) Does this data suggest that true average folacin content is the same for all brands?
a. Carry out a test using α = .05.
b. Assess the plausibility of any assumptions required for your analysis in part (a).
c. Perform a multiple comparisons analysis to identify significant differences among brands.
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A researcher surveyed randomly selected Democrats and Republicans asking them what the number one concern should be for the president of the United States. The results of the survey are shown below. Is there evidence to conclude that there is a difference in what Democrats and Republicans think is the most important?
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What can be concluded at the αα = 0.05 significance level?
What is the correct statistical test to use?
Homogeneity
Independence
Paired t-test
Goodness-of-Fit
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The distribution of concerns for Democrats is not the same as it is for…
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
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