Question

You are given two random samples with the information shown below. Use a significance level of 0.05 for testing the hypothesis that Hy oso Item 1 Sample 1 119 Sample 2 10.5 2 139 98 3 11.5 8.5 4 119 6.7 50 14.3 11.5 State the null and alternative hypotheses Choose the correct answer below. O A. Ho of so O B. Ho o so Oc. Họ gì so OD. Ho of so HA 0² 203 HA 0 0 HA 0 0 HA 0 0 Determine the test statistic F = (Round to two decimal places as needed) Determine the critical value The critical F-value is Round to two decimal places as needed) Reach a decision Choose the correct answer below. A. Reject the null hypothesis. There is sufficient evidence to conclude that the first variance is greater than tho second variance. B. Do not reject the null hypothesis. There is sufficient evidence to conclude that the first variance is greater than the second variance C. Do not reject the null hypothesis. There is insufficient evidence to conclude that the first variance is greater than the second variance D. Reject the null hypothesis. There is insufficient evidence to conclude that the first variance is greater than the second variance

Answer 1

The given data is, I)er 2 3 11.9 5 14.3 13.9 11.5 11.g - Bomple Sample 2 10.5 9.8 8.5 6.7 11.5 Here, for Sample 1 nl - S 4 Bample variance st is, { x2-0,32 ) si 121 Here 71 1 = 63.5 s X = 12.7 5 ( 81 (813.17 806-45 45) 5,² = 1.68 4 for Sample 2 n2=5 exi X2 47 5 72 =9.4 S,2 (?xi 0272) n2t - ( 455.68 – 44.8) 4 52 = 3.47

2 = 0.05 The Ans - Hypothesis is, Ho: 6,² < 6₂2 H: 6,² > 6₂2 Delermine FE statistic, test 5,2 S22 = 1.68 3.47 0.484149 f = 0.48 Forla Determine f. Value ( coitical value) 9 02-1) (9) ə F (0.05), (414) s) 6.38 82329 The Ass Coitical F. Value 6.39 decision : Fral = 0.48 < fcritical value = 6.89 Accept Ho at 5 % level of Significance Ans : not Reject the null hypothesis. Theol as insufficient evidence to condude that Frost variance is greater than the Second Variance Do