Which study below is appropriate for the Single Sample t-test (t-test for popula
ID: 3065339 • Letter: W
Question
Which study below is appropriate for the Single Sample t-test (t-test for population mean)? STUDY A: In Strafford County a county clerk is collecting data about that average age of homeowners. For the state, the average age of a homeowner is 39.7 years. The county clerk wants to check to see if Strafford County is a representative sample of the state, and so she selects a sample of 16 homeowners in Strafford County. The average age for the homeowners in the sample is 48.9 years. The ages are normally distributed. The scale of measurement for age is considered to be ratio. Assume all test assumptions have been met. STUDY B: In Strafford County a county clerk is collecting data about that average age of homeowners. For the state, the average age of a homeowner is 39.7 years with a standard deviation of 12.4. The county clerk wants to check to see if Strafford County is a representative sample of the state, and so she selects a sample of 16 homeowners in Strafford County. The average age for the homeowners in the sample is 48.9 years. The ages are normally distributed. The scale of measurement for age is considered to be ratio. Assume all test assumptions have been met. a. Neither Study A nor Study B is appropriate for the Single Sample t-test (t-test for population mean). b. Only Study B is appropriate for the Single Sample t-test (t-test for population mean). c. Only Study A is appropriate for the Single Sample t-test (t-test for population mean). d. Both Study A and Study B are appropriate for the Single Sample t-test (t-test for population mean).
Explanation / Answer
Answer: b. Only Study B is appropriate for the Single Sample t-test (t-test for population mean).
Explanation:
To perform a single sample t test we need to know the population mean, the sample mean and standard deviation.
In the case of B all these data are available but in A we do not have sample standard deviation.
Otherwise, both the study would have been suitable for single sample t test.
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