Question

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 overbar s Red Background 34 15.58 5.95 Blue Background 37 12.11 5.43 What are the null and alternative​ hypotheses? A. Upper H 0​: sigma Subscript 1 Superscript 2equalssigma Subscript 2 Superscript 2 Upper H 1​: sigma Subscript 1 Superscript 2not equals sigma Subscript 2 Superscript 2 B. Upper H 0​: sigma Subscript 1 Superscript 2not equals sigma Subscript 2 Superscript 2 Upper H 1​: sigma Subscript 1 Superscript 2equalssigma Subscript 2 Superscript 2 C. Upper H 0​: sigma Subscript 1 Superscript 2equalssigma Subscript 2 Superscript 2 Upper H 1​: sigma Subscript 1 Superscript 2less than sigma Subscript 2 Superscript 2 D. Upper H 0​: sigma Subscript 1 Superscript 2equalssigma Subscript 2 Superscript 2 Upper H 1​: sigma Subscript 1 Superscript 2greater than or equals sigma Subscript 2 Superscript 2 Identify the test statistic. Fequals___ ???​(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? A. Fail to reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. B. Reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. C. Reject Upper H 0. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. D. Fail to reject Upper H 0. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation

Answer 1