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 21 people who drank ethanol and another group of 21 people given a placebo. The errors for the treatment group have a standard deviation of 2.40, and the errors for the placebo group have a standard deviation of 0.83. 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 alternative hypotheses? A. Ho: σ 1 2 ≠ σ 2 2 H1:σ 1 2= σ 2 2 B. Ho: σ 1 2= σ 2 2 H1: σ 1 2> σ 2 2 C. Ho: σ 1 2= σ 2 2 H1: σ 1 2< σ 2 2 D. Ho: σ 1 2= σ 2 2 H1: σ 1 2≠ σ 2 2 Identify the test statistic. ________________ (Round to two decimal places as needed.) Use technology to identify the P-value. ______________ (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? A. Fail to reject Ho. 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. B. Reject Ho. 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. C. Reject Ho. 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. D. Fail to reject Ho. 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.
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 21 people who drank ethanol and another group of 21 people given a placebo. The errors for the treatment group have a standard deviation of 2.40, and the errors for the placebo group have a standard deviation of 0.83. 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
What are the null and alternative hypotheses?
A. Ho: σ 1 2 ≠ σ 2 2
H1:σ 1 2= σ 2 2
B. Ho: σ 1 2= σ 2 2
H1: σ 1 2> σ 2 2
C. Ho: σ 1 2= σ 2 2
H1: σ 1 2< σ 2 2
D. Ho: σ 1 2= σ 2 2
H1: σ 1 2≠ σ 2 2
Identify the test statistic.
________________
(Round to two decimal places as needed.)
Use technology to identify the P-value.
______________
(Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
A. Fail to reject Ho. 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.
B. Reject Ho. 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.
C. Reject Ho. 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.
D. Fail to reject Ho. 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.
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