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? B. H₂:0²=0² OA. Ho: 0²=0²2 H₁:0² > 0² H₁:0² <0² OC. Ho: 0=0² H₁:0² *0² 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? D. Ho: 0² 0²/ H₁:0² = 0²

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 of 28 people who drank ethanol and another group of 28 people given a placebo. The errors for the treatment
group have a standard deviation of 2.10, and the errors for the placebo group have a standard deviation of 0.76. Assume that the two populations are normally distributed. Use a 0.05 significance level to test the claim that both groups have the same amount of
variation among the errors.
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?
OA. H₂:0² = 0²
H₁:0² <0²/22
C. H₂:0² = 0²/22
H₁:0² #0²
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?
OB. H₂:0² = 0²
H₁:0² > 0²/22
D. Ho: 0²/0²/2
H₁:0² = 0²
A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors.
B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors.
C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors.
D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors.
Transcribed Image Text: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 28 people who drank ethanol and another group of 28 people given a placebo. The errors for the treatment group have a standard deviation of 2.10, and the errors for the placebo group have a standard deviation of 0.76. Assume that the two populations are normally distributed. Use a 0.05 significance level to test the claim that both groups have the same amount of variation among the errors. 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? OA. H₂:0² = 0² H₁:0² <0²/22 C. H₂:0² = 0²/22 H₁:0² #0² 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? OB. H₂:0² = 0² H₁:0² > 0²/22 D. Ho: 0²/0²/2 H₁:0² = 0² A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors. B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors. C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors. D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that both groups have the same amount of variation among the errors.
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