Perform the Required Hypothesis Test by Using a Mann-Whitney Test

question 14

Essay

Perform the required hypothesis test by using a Mann-Whitney test. Use a normal approximation for M. Find the meanand standard deviation of M, the value of M and of the test statistic, the critical value(s), and state your conclusion.
-A person who commutes to work is choosing between two different routes. He tries the first route 11 times and the second route 12 times and records the time of each trip. The results (in minutes)are shown below. Use a significance level of 0.01 to test whether the mean time for route 1 differs from the mean time for route 2.

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Definitions:

Validity

The degree to which a research study or testing instrument accurately measures what it intends to measure.

Interval Measures

A scale of measurement where the difference between any two consecutive measures is the same, but it does not have a true zero point, e.g., temperature scales.

Equal Intervals

A measurement scale where the difference between values is the same across the scale.

True Zero

A point on a scale which represents a complete absence of the measured entity, not merely an arbitrary point.