An Industrial Psychologist Consulting with a Chain of Music Stores

question 17

Essay

An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receives each month throughout the industry is 4,but the variance is unknown.Nine of the chain's stores were randomly selected to record complaints for one month; they received 2,4,3,5,0,2,5,1,and 5 complaints.Using the .05 significance level,is the number of complaints received by the chain different from the number of complaints received by music stores in general?
a.Use the five steps of hypothesis testing.
b.Sketch the distributions involved.
c.Explain the logic of what you did to a person who is familiar with hypothesis testing with a known population variance and a single sample,but who knows nothing about t tests of any kind (for example,you do not need to describe the steps or logic of hypothesis testing).Be sure you explain how this problem differs from a problem with a known population variance and a single sample.Your answer should consist mainly of a thorough explanation of the characteristics of the comparison distribution and all the figuring you did to determine those characteristics.

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Definitions:

Rejecting

In statistics, it often refers to the act of discarding the null hypothesis based on the evidence of a test.

Type I Error

A Type I error occurs when a true null hypothesis is incorrectly rejected, often denoted as a false positive in hypothesis testing.

Null Hypothesis

A statement used in statistics that proposes there is no significant difference or effect.

Level of Significance

The threshold at which the null hypothesis is rejected in favor of the alternative hypothesis in statistical testing, indicating the probability of making a Type I error.