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:

Lactams

Cyclic amides formed from the reaction between an amino group and a carboxylic acid group within the same molecule.

IUPAC Name

The systematic method of naming chemical compounds as recommended by the International Union of Pure and Applied Chemistry (IUPAC).

Compound

A distinct chemical substance resulting from the combination of multiple elements into a molecule, exemplified by its specific chemical formula and molecular structure.

Cyclic Esters

Organic compounds characterized by a ring structure containing an ester linkage, also known by the term "lactones."