Question

Consider the following hypothesis test.

H₀: μ₁ − μ₂ = 0

H_a: μ₁ − μ₂ ≠ 0

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

Sample 1	Sample 2
n1 = 35	n2 = 40
x1 = 13.6	x2 = 10.1
s1 = 5.8	s2 = 8.6

(a)

What is the value of the test statistic? (Use

x₁ − x₂.

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.)

p-value =

(d)

At

α = 0.05,

what is your conclusion?

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

Answer 1