Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 70 n2 = 80 x1 = 106 x2 = 108 σ1 = 8.4 σ2 = 7.6   (a)  What is the p-value? (Round your answer to four decimal places. show work not done on calculator) (b) With α = 0.01, using the p-value approach, what is your hypothesis testing conclusion? Why? Explain

Question

Consider the following hypothesis test.

H0μ1 − μ2 = 0

Haμ1 − μ2 ≠ 0

The following results are for two independent samples taken from the two populations.

Sample 1 Sample 2

n1 = 70

n2 = 80

x1 = 106

x2 = 108

σ1 = 8.4

σ2 = 7.6

 

(a)  What is the p-value? (Round your answer to four decimal places. show work not done on calculator)

(b) With α = 0.01, using the p-value approach, what is your hypothesis testing conclusion? Why? Explain

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