question archive Consider the following hypothesis test

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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} = 40 *n*_{2} = 50

*x*_{1} = 25.5 *x*_{2} = 22.8

*σ*_{1} = 5.7 *σ*_{2} = 6

(a)

What is the value of the test statistic? (Round your answer to two decimal places.)

(b)

What is the *p*-value? (Round your answer to four decimal places.)