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Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group

Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 22 people who drank ethanol and another group of 22 people given a placebo. The errors for the treatment group have a standard deviation of 2.30, and the errors for the placebo group have a standard deviation of 0.88. Use a 0.05 significance level to test the claim that the treatment group has errors that vary significantly more than the errors of the placebo group. Assume that the two populations are normally distributed.

What are the null and alternativehypotheses?

A.

H0: 2122

H1: 21=22

B.

H0: 21=22

H1: 21<22

C.

H0: 21=22

H1: 21>22

D.

H0: 21=22

H1: 2122

Identify the test statistic.

Identify theP-value.

What is the conclusion for this hypothesistest?

A.

Failtoreject H0. There is insufficient evidence to support the claim that the treatment group has errors that vary significantly more than the errors of the placebo group.

B.

Reject H0. There is sufficient evidence to support the claim that the treatment group has errors that vary significantly more than the errors of the placebo group.

C.

Reject H0. There is insufficient evidence to support the claim that the treatment group has errors that vary significantly more than the errors of the placebo group.

D.

Failtoreject H0. There is sufficient evidence to support the claim that the treatment group has errors that vary significantly more than the errors of the placebo group.

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