Given the Following Information About a Hypothesis Test of the Difference

question 30

Multiple Choice

Given the following information about a hypothesis test of the difference between two means based on independent random samples,which one of the following is the correct rejection region at a significance level of .05? H_A: μ_A > μ_B,
= 12,
= 9,s₁ = 4,s₂ = 2,n₁ = 13,n₂ = 10.

• A) Reject H₀ if t > 1.96.
• B) Reject H₀ if t > 1.645.
• C) Reject H₀ if t > 1.721.
• D) Reject H₀ if t > 2.08.
• E) Reject H₀ if t > 1.782.

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Definitions:

Pupils

The black circular openings in the center of the iris of the eye, which regulate the amount of light that enters the eye.

Blurry Vision

A lack of sharpness in vision, resulting in the inability to see fine details.

Colour Vision

The capability of the visual system to distinguish objects based on the wavelengths of the light they reflect, emit, or transmit.

Vision Clarity

The sharpness and clearness of vision, often measured by the ability to discern letters or numbers at a specified distance.