Question

Consider two populations. A random sample of 28 observations from the first population
revealed a sample mean of 40 and a sample standard deviation of 12. A random sample of 32
observations from the second population revealed a sample mean of 35 and a sample standard
deviation of 14.

(a) Using a .05 level of significance, test the hypotheses H0 : μ1 − μ2 = 0 and H1 : μ1 − μ2 ≠ 0
respectively. Explain your conclusions.
(b) What is the p-value of your result in part (a)? Interpret the p-value.
(c) Construct a 95% confidence interval for the difference between and . Interpret the
confidence interval.
(d) Explain the relationship between your answers in parts (a) and (c).

Answer 1