To Investigate the Effect of Sleep on Basal Metabolism, Seven

question 113

Short Answer

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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Definitions:

Normal Curve

A symmetric, bell-shaped curve that represents the distribution of many types of data where most values cluster around the mean.

Standard Deviations

A measure of the amount of variation or dispersion in a set of values, indicating how spread out the values are from the mean.

Mean

In statistics, it refers to the average value in a set of numbers, calculated by dividing the sum of all values by the number of values.

Scatterplot

A graphical representation displaying the relationship between two quantitative variables.