Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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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?
Frequencies of Concerns for Democrats and Republicans
Economy
Foreign Affairs
Family Values
Environment
Other
Democrats
95
40
96
72
39
Republicans
97
71
114
45
39
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
What are the null and alternative hypotheses?H0:H0:
Political affiliation and number one concern are dependent.
Political affiliation and number one concern are independent.
The distribution of concerns for Democrats is the same as it is for Republicans.
The distribution of concerns for Democrats is not the same as it is for…
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.
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 a = .05 via the P-value method.
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.
In the Glucose Group ONLY: Was there a statistical difference between blood glucose values at 30 minutes compared to 60 minutes? (Compete t-test using only data from the glucose group between 30 minutes and 60 minutes – this is a paired test; interpret results to answer question)
Chapter 10 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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