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.

Identifying and explaining psychological principles related to perceptions of good and bad.

Comprehending the mere exposure effect and its implications.

Recognizing the role of familiarity in shaping attitudes and preferences.

Describing embodied attitudes and the impact of celebrity endorsement.

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Definitions:

Density Function

A mathematical function that describes the distribution of a continuous random variable, indicating the probability of the variable falling within a particular range.

Exponentially Distributed

Pertaining to a statistical distribution characterized by a constant rate of decay or growth over time.

Random Variable

A variable whose outcomes are determined by the occurrences of a random event.

Exponential Random Variable

A type of random variable that describes the time between events in a Poisson process, representing occurrences that happen at a constant rate.