Question

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 = 80	n2 = 70
x1 = 104	x2 = 106
σ1 = 8.4	σ2 = 7.5

(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.)

(c)

With

α = 0.05,

what is your hypothesis testing conclusion?

Do not reject H₀. There is insufficient evidence to conclude that μ₁ − μ₂ ≠ 0.Reject H₀. There is insufficient evidence to conclude that μ₁ − μ₂ ≠ 0.     Do not Reject H₀. There is sufficient evidence to conclude that μ₁ − μ₂ ≠ 0.Reject H₀. There is sufficient evidence to conclude that μ₁ − μ₂ ≠ 0.

Answer 1