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
2121
people who drank ethanol and another group of
2121
people given a placebo. The errors for the treatment group have a standard deviation of
2.302.30,
and the errors for the placebo group have a standard deviation of
0.840.84.
Assume that the two populations are normally distributed. Use a
0.050.05
significance level to test the claim that both groups have the same amount of variation among the errors.
Question content area bottom
Part 1
Let sample 1 be the sample with the larger sample variance, and let sample 2 be the sample with the smaller sample variance. What are the null and alternative hypotheses?
A.
Upper H 0H0:
sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22
Upper H 1H1:
sigma Subscript 1 Superscript 2σ21not equals≠sigma Subscript 2 Superscript 2σ22
Your answer is correct.
B.
Upper H 0H0:
sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22
Upper H 1H1:
sigma Subscript 1 Superscript 2σ21less thansigma Subscript 2 Superscript 2σ22
Part 2
Identify the test statistic.
7.57.5
(Round to two decimal places as needed.)
Part 3
Use technology to identify the P-value.
enter your response here
(Round to three decimal places as needed.)