The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse 900 907 751 833 920 787 830 877 848 901 1037 905 1023 988 1078 1011 ** 1063 898 1033 Group E Group F State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The impact of a low-calorie diet on laboratory mice's longevity is being investigated
by a medical researcher. Twenty mice are split into two groups (E and F) by random.
A typical diet is given to Group E, while Group F is given a diet that only contains
70% as many calories as Group E's diet. The length of life (in days) of each mouse
over the 36-month trial is documented. Table 2 provides the data that was obtained.
The symbol of double star (**) signifies that the mouse was still alive at the end of
the investigation.
(a)
(b)
(c)
Table 2: The length of life (in days) of each mouse
Group E 900 907 751 833 920 787 830 877 848 901
Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033
State a suitable null and alternative hypotheses for the problem.
At 5% significance level, test the hypotheses in part (a) by using an appropriate
nonparametric test.
Write your conclusion.
Transcribed Image Text:The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.
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