Suppose that Alison studied for the Graduate Management Admission Test (GMAT) us

Question

Suppose that Alison 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. 0.05. How many degrees of freedom Alison and Eric decide to perform a two-tailed t-test at a significance level of should they use in their calculations?

Explanation / Answer

Degrees of freedom = n - 1

Here in the given case:

n = 17

Hence,

df = 17 - 1

df = 16

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