Independent Random Samples of the Scores of 10 Daily Quizzes $\mu$

question 31

Essay

Independent random samples of the scores of 10 daily quizzes from day students and 15 quizzes from evening students were gathered. It was decided to use the Mann-Whitney-Wilcoxon test to determine if there is a significant difference between the scores of the two groups of students.
a.Provide the hypotheses for this test.
b.Compute the mean $\mu$ _T.
c.Compute the standard deviation $\sigma$ _T.
d.The sum of the ranks for the day students was determined to be 184.5. Compute the test statistic Z.
e.Use $\alpha$ = 0.05 and test to determine if there is a significant difference in the populations of the scores of the two groups.

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Definitions:

Glycolysis

The metabolic pathway that breaks down glucose to pyruvate, releasing energy and forming ATP, occurring in the cytoplasm of cells.

Basal Bodies

Microtubule-organizing centers found at the base of cilia or flagella in eukaryotic cells, crucial for their growth and function.

Mitochondria

Organelles found in the cytoplasm of eukaryotic cells that produce energy through cellular respiration, often referred to as the powerhouses of the cell.

Hydrolytic Enzymes

Enzymes that catalyze the cleavage of bonds in molecules through the addition of water.