Question

You are testing H0: μ = 0 against Ha: μ ≠ 0 based on an SRS...

You are testing H0: μ = 0 against Ha: μ ≠ 0 based on an SRS of four observations from a Normal population. What values of the t statistic are statistically significant at the α = 0.005 level?

a. t > 7.453

b. t <−7.453 or t > 7.453

c. t<−5.598 or t > 5.598

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given:

sample size (n) = 4

Hypothesis: H0: μ = 0 against Ha: μ ≠ 0 (Two tailed test)

= 0.005

Critical value:   7.453

Decision Rule:

|t| > Critical value, i.e. |t| > 7.453 Then Reject Ho at 0.5% level of significance.

ANSWER:  b. t <−7.453 or t > 7.453

ANSWER:  b. t <−7.453 or t > 7.453

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