A sample of size n = 100 is used to test H0 : μ ≤ 20 versus H1 : μ > 20. The value of μ will not have practical significance unless μ > 25. The population standard deviation is σ = 10. The value of X¯¯¯ is 21. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

(a) Assume the sample size is n = 100. Compute the P-value. Show that you do not reject H0.
(b) Assume the sample size is n = 1000. Compute the P-value. Show that you reject H0.
(c) Do you think the difference is likely to be of practical significance?
(d) Explain. Explain why a larger sample can be more likely to produce a statistically significant result that is not of practical significance.