Question

# Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...

Consider the following hypothesis test.

H0: μ1 − μ2 = 0

Ha: 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.

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