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 = 7.2

(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?

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

Answer 1

Page Sample2 Bample1 h,=80 = 104 31= 8.4 n. 70 82=106 82 = 7.2 %3D d = 0.05 want to test, Hoiy-2=0 H:l4-el2 to statistiL is, Tegt 104 - 106 (8.4)2 1.2)2 1.2738 70 80 -1.57 0.1164 b) P - value = > 0.05 P - value since Hence, De hot rejest Hy conclude that Therre is insufficient evideno to