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 Ho : U1 - U2 = 0 and H1 : U1 - U2 =/ (not equal to) 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 U1 and U2. Interpret the confidence interval.
(d) Explain the relationship between your answers in part (a) and (c)
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