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Suppose that we want to estimate the mean score on a nationwide examination in a

ID: 3265764 • Letter: S

Question

Suppose that we want to estimate the mean score on a nationwide examination in anthropology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 491 and a standard deviation of 75. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.)

Explanation / Answer

1, t-test

Since, here standard deviation is unknown.

2,Z-test

Since, it is a large sample test

3,t-test

Since it is a small sample test.

4,Z-test

Since here standard deviation is known.

5,Z-test

Since,here standard deviation is known.

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