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In: Statistics and Probability

Consider two populations. A random sample of 28 observations from the first population revealed a sample...

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 μ1 and μ2. Interpret the confidence interval.

(d) Explain the relationship between your answers in parts (a) and (c).

Solutions

Expert Solution

a)

c)

orchestra answered 1 year ago
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