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Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of wor recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? Red Background Blue Background n 34 15.55 36 12.41 S 5.96 5.49

Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of wor recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? Red Background Blue Background n 34 15.55 36 12.41 S 5.96 5.49

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? n X S Red Background 5.96 34 15.55 Blue Background 36 12.41 5.49
Transcribed Image Text:Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? n X S Red Background 5.96 34 15.55 Blue Background 36 12.41 5.49
What are the null and alterative hypotheses? OA 1₂:00 H₂:0}<0} OF H₂:0[*] H₂₁:0}#} identify the let static F=(Round to two decimal places as needed.) Use technology to identify the P-value The P-value is (Round to three decimal places as needed.) OB 1₂:00 M₁:0 20 OA. No, the variation of word recall scores appears to be different when the color is changed OB. No, the variation of word recall scores appears to be the same when the color is changed. OC. Yes, the variation of word recall scores appears to be different when the color is changed. OD. Yes, the variation of word recall scores appears to be the same when the color is changed OR 1₂:00 H₂₁:00 What is the conclusion for this hypothesis test? OA. Reject H. There is insuficient evidence to wamant rejection of the claim that the samples are from populations with the same standard deviation OB. Reject H₂. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation OC. Fall to reject Hg. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation OD. Fall to reject Hy. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation Does the background color appear to have an effect on the variation of word recall scores?
Transcribed Image Text:What are the null and alterative hypotheses? OA 1₂:00 H₂:0}<0} OF H₂:0[*] H₂₁:0}#} identify the let static F=(Round to two decimal places as needed.) Use technology to identify the P-value The P-value is (Round to three decimal places as needed.) OB 1₂:00 M₁:0 20 OA. No, the variation of word recall scores appears to be different when the color is changed OB. No, the variation of word recall scores appears to be the same when the color is changed. OC. Yes, the variation of word recall scores appears to be different when the color is changed. OD. Yes, the variation of word recall scores appears to be the same when the color is changed OR 1₂:00 H₂₁:00 What is the conclusion for this hypothesis test? OA. Reject H. There is insuficient evidence to wamant rejection of the claim that the samples are from populations with the same standard deviation OB. Reject H₂. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation OC. Fall to reject Hg. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation OD. Fall to reject Hy. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation Does the background color appear to have an effect on the variation of word recall scores?
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