The study described in Exercise 33 is repeated with a larger sample of 1000 subjects.

Assume that the sample mean is once again 0.5 pound and the sample standard deviation is once again 4 pounds.

a. Find the t statistic for testing H0: μ = 0 versus H1: μ > 0.

Is the value of the t statistic greater than or less than the value obtained with a smaller sample of 100?

b. Find the P-value for testing H0: μ = 0 versus H1: μ > 0.

c. Can you conclude that the diet produces a mean weight loss that is greater than 0? Use the α = 0.05 level of significance.

d. Explain why the mean weight loss is not of practical significance, even though the results are statistically significant at the 0.05 level.