Consider the following hypothesis test

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Consider the following hypothesis test.

 

H₀: μ₁ − μ₂ ≤ 0

H_a: μ₁ − μ₂ > 0

 

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

Sample 1 Sample 2

n₁ = 40 n₂ = 50

x₁ = 25.5 x₂ = 22.8

σ₁ = 5.7 σ₂ = 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.)