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? Red Background Blue Background X S n 35 15.08 5.96 37 12.81 5.48 What are the null and alternative hypotheses? O A. Ho: 0²1 0²2 H₁:0² = 0²/ OC. Ho: o² = 0²/2 H₁:0² 20² Identify the test statistic. 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.) What is the conclusion for this hypothesis test? OB. Ho: 0²=0²2 H₁:0² <0²/ OD. Ho: o² = 0²/2 H₁: 0²1 0²2 O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. D. Fail to reject Ho. There is insufficient 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? A. No, the variation of word recall scores appears to be the same when the color is changed. OB. Yes, the variation of word recall scores appears to be the same when the color is changed. OC. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.

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? Red Background Blue Background X S n 35 15.08 5.96 37 12.81 5.48 What are the null and alternative hypotheses? O A. Ho: 0²1 0²2 H₁:0² = 0²/ OC. Ho: o² = 0²/2 H₁:0² 20² Identify the test statistic. 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.) What is the conclusion for this hypothesis test? OB. Ho: 0²=0²2 H₁:0² <0²/ OD. Ho: o² = 0²/2 H₁: 0²1 0²2 O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. D. Fail to reject Ho. There is insufficient 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? A. No, the variation of word recall scores appears to be the same when the color is changed. OB. Yes, the variation of word recall scores appears to be the same when the color is changed. OC. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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