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2, Work problem on Page 9-47, Question 6. Consider the following hypothesis test.                         H0: μ1...

2, Work problem on Page 9-47, Question 6.

Consider the following hypothesis test.

                        H0: μ1 - μ2 ≤ 0

                        Ha: μ1 - μ2 > 0

                        n1 = 40,              1 = 25.2,                  σ1    = 5.2                   

                        n2 = 50,              2 = 22.8,                  σ2   = 6.0

            a. What is the value of the test statistic?

            b. What is the p-value?

            c. With α = 0.05, what is your hypothesis-testing conclusion?

Solutions

Expert Solution

2)

The statistical software output for this problem is :

Test statistics = 2.031

P-value =0.0211

C) Reject the null hypothesis

Test statistic = z

= 1 - 2 / [1 / n1 + 2 / n2]

= 25.2-22.8 / [5.2^2 / 40 + 6^2/ 50]

Test statistic = 2.031

P(z > 2.031) = 0.0211

P-value = 0.0211

orchestra answered 2 years ago
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