3. An industrial psychologist consulting with a chain of music stores knows that

Question

3. 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. Twelve of the chain's stores were randomly selected to record complaints for one month; they received 7, 6, 10, 6, 1, 9, 1, 1, 1, 10, 6, and 2 complaints. Use the.05 significance level to determine if the number of complaints received by the chain is different from the industry average. A) What is the appropriate test for this data? B) Conduct the appropriate hypothesis test. Only hand calculate if you choose a z-test and then follow the five steps of hypothesis testing and provide a drawing. Otherwise, use SPSS. C) Give an interpretation of this data (one sentence conclusion of the hvpothesis test that should be free of statistical jargon) and report the statistics in APA format. D) Explain why the test you chose is the most appropriate. M = 5 SS = 146 SD 12.16

Explanation / Answer

Average complaints from sample points = 5 ( x)

Industrial average = 4 (y)

Null Hypothesis : x - y =0

Alternate Hypothesis : x-y is not equal to 0

Sample points are less than 30 so I am going to perform the t test

t-statistic = ((5-4) -0 ) / (12.16/sq.root(12)) = 0.289 with degrees of freedom = 12 - 1 = 11

This is a two tail test since the mean can be more or less than the industrial average.

with significance level of 5% in two tail test with df =11 , the cut off value is 2.201 greater than t-statistic (0.288)

so we cannot reject the null hypothesis.

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