Consider the following hypothesis test.
H_{0}: μ_{1} − μ_{2} = 0
H_{a}: μ_{1} − μ_{2} ≠ 0
The following results are from independent samples taken from two populations.
Sample 1 | Sample 2 |
---|---|
n_{1} = 35 |
n_{2} = 40 |
x_{1} = 13.6 |
x_{2} = 10.1 |
s_{1} = 5.9 |
s_{2} = 8.5 |
(a)
What is the value of the test statistic? (Use
x_{1} − x_{2}.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)
(c)
What is the p-value? (Round your answer to four decimal places.)
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