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

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Question

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

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 = 5.9	s₂ = 8.5

(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.)

math Statistics-And-Probability

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Answer 1

Answer #1

The statistical software output for this problem is:

On the basis of above output:

a) Point estimate = 3.5

b) Degrees of freedom = 69

c) p - Value = 0.0402

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Answer 2

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