Consider the following hypothesis test.
H_{0}: μ_{1} − μ_{2} = 0
H_{a}: μ_{1} − μ_{2} ≠ 0
The following results are for two independent samples taken from the two populations.
Sample 1 | Sample 2 |
---|---|
n_{1} = 70 |
n_{2} = 80 |
x_{1} = 106 |
x_{2} = 108 |
σ_{1} = 8.4 |
σ_{2} = 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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