Suppose that we want to estimate the mean score on a nationwide examination in a
ID: 3292386 • 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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