On the computer, we draw 500 random samples of size 5 from the distribution of 1

Question

On the computer, we draw 500 random samples of size 5 from the distribution of 173 values of ln(alcohol DR [diet record] + 1) in the Data Set VALID.DAT, where Alcoh_dr is the amount of alcohol consumed as reported by diet record by a group of 173 American nurses who recorded each food eaten on a real-time basis, over four 1-week periods spaced approximately 3 months apart over the course of 1 year. For each sample of size 5, we compute the sample mean x –, the sample standard deviation s, and the test statistic t given by

Question: What distribution should the t-values follow if the central-limit theorem holds? Assume µ 0 is the population mean for ln(Alcoh_dr + 1).

Explanation / Answer

Question: What distribution should the t-values follow if the central-limit theorem holds?

using alpha / 2 = 0.025 df = 5-1 = 4

t values are +/- 2.776

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