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Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n = 17 n2 = 16 x1= 291.5 x2= 279.2 s= 1296 s=2641.96 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.10 significance level, that the two population variances, of and o, differ?

Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n = 17 n2 = 16 x1= 291.5 x2= 279.2 s= 1296 s=2641.96 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.10 significance level, that the two population variances, of and o, differ?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n, = 17 n2 = 16 X1= 291.5 X2=279.2 S 1296 S. 2641.96 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.10 significance level, that the two population variances, o, and o2, differ? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
Transcribed Image Text:Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n, = 17 n2 = 16 X1= 291.5 X2=279.2 S 1296 S. 2641.96 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.10 significance level, that the two population variances, o, and o2, differ? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H. and the alternative hypothesis H,. 2 H, : 0 = 0, 62 2 H : 0, # 02 (b) Determine the type of test statistic to use. F Degrees of freedom: dfn: | dfd:|| (c) Find the value of the test statistic. (Round to three or more decimal places.) 0.491 (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) O and (e) Can we conclude that the two population variances differ? OYes ONo
Transcribed Image Text:(a) State the null hypothesis H. and the alternative hypothesis H,. 2 H, : 0 = 0, 62 2 H : 0, # 02 (b) Determine the type of test statistic to use. F Degrees of freedom: dfn: | dfd:|| (c) Find the value of the test statistic. (Round to three or more decimal places.) 0.491 (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) O and (e) Can we conclude that the two population variances differ? OYes ONo
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