Suppose that Lorna studied for the Graduate Management Admission Test (GMAT) usi

Question

Suppose that Lorna studied for the Graduate Management Admission Test (GMAT) using a well-known preparation class and was thrilled to receive a total score of 740. Her friend Eric, however, thinks she would have scored just as well without the class. To test the efficacy of the class, they obtain a small but random sample of 17 test results from other students using the same class. This sample's average is 559.42 with a standard deviation of 108.03. In comparison, the national average was 550.12. Assume the population's results are normally distributed but that its standard deviation is not known. Lorna and Eric decide to perform a two-tailed ttest at a significance level of =0.05. How many degrees of freedom should they use in their calculations?

Explanation / Answer

Degrees of freedom (DF) is n1

where, n = sample size

Here random sample size is given as 17.

Thus, Degrees of freedom that they should use in their calculation is 17 - 1 = 16.

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