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Problem: Effect of larger sample size: A sample of 1000 subjects. Assume that the sample mean is once again 0.5 pound and the sample standard deviation is 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 it be concluded 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.
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