Question

3. Null hypotheses for an independent-measures t test Which of the following null hypotheses is appropriate...

3. Null hypotheses for an independent-measures t test

Which of the following null hypotheses is appropriate for an independent-measures t test?

H₀: μ₁ – μ₂ ≠ 0

H₀: μ₁ – μ₂ = 0

H₀: μ ≥ 0

H₀: μ < 4

Homework Answers

Answer #1

Solution:

Correct option is

H₀: μ₁ – μ₂ = 0

Explanation:

In an independent-measures t test , we test for the difference between two population means.

i.e. μ₁ – μ₂

Valid signs in null hypothesis H0 are = , and

Valid signs in alternative hypothesis HA   are , < and >

So for an independent-measures t test,

Null hypothesis is

H₀: μ₁ – μ₂ = 0

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