Question

-                 A study was done in which researchers observed wait times in coffee shops in Boston....

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A study was done in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the customer were observed. The mean wait time for a sample of 45 male customers was 85.2 seconds. The mean wait time for a sample of 28 female customers was 113.7 seconds. The sample standard deviations were 50 seconds for the sample of males and 75 seconds for the sample of female customers. Is there convincing evidence that the mean wait time differs for males and females? Use a significance level of 0.05.

What is the critical value(s) for this test?

A study was done in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the customer were observed. The mean wait time for a sample of 45 male customers was 85.2 seconds. The mean wait time for a sample of 28 female customers was 113.7 seconds. The sample standard deviations were 50 seconds for the sample of males and 75 seconds for the sample of female customers. Is there convincing evidence that the mean wait time differs for males and females? Use a significance level of 0.05.

What is the test statistic for this test?

A study was done in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the customer were observed. The mean wait time for a sample of 45 male customers was 85.2 seconds. The mean wait time for a sample of 28 female customers was 113.7 seconds. The sample standard deviations were 50 seconds for the sample of males and 75 seconds for the sample of female customers. Is there convincing evidence that the mean wait time differs for males and females? Use a significance level of 0.05.

What is the p-value for this test?

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A study was done in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the customer were observed. The mean wait time for a sample of 45 male customers was 85.2 seconds. The mean wait time for a sample of 28 female customers was 113.7 seconds. The sample standard deviations were 50 seconds for the sample of males and 75 seconds for the sample of female customers. Is there convincing evidence that the mean wait time differs for males and females? Use a significance level of 0.05.

What is the decision for this test?
Math   Statistics-And-Probability   
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