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To investigate the effect of sleep on basal metabolism, seven college students who averaged seven or more hours of sleep a night (Group A), and five students who averaged less than seven hours of sleep a night (Group B), were examined and their basal metabolism recorded as shown below. Since it was not clear whether the assumptions for a t-test were valid, the researcher decided to employ nonparametric methods. Use the Wilcoxon rank sum procedure to determine whether the metabolism measurements for Group A are significantly higher than those of Group B. Use
= 0.05.
The null and alternate hypotheses are as follows: : The distributions of metabolism measurements for the two groups are identical.
: The distribution of metabolism measurements for Group B is shifted to the left of Group A. (i.e., the metabolism measurements are lower for Group B)
What is the test statistic? : ______________
What is the critical value for the test statistic?
______________
Thus: ______________
Conclude:
We ______________ conclude the distribution of metabolism measurements for Group B is lower than those for Group A.
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