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Independent random samples were selected from each of two normally distributed populations, n, =6 from population 1 and n2 = 5 from population 2. The
Independent random samples were selected from each of two normally distributed populations, n, =6 from population 1 and n2 = 5 from population 2. The data are shown in the table Sample 1 Sample 2 to the right. Complete parts a through c below. 4.8 2.3 4.9 1.2 1.1 3.5 2.5 8.2 0.9 5.9 3.3 a. Test Ho: 67 202 against Ha: ? . Use a= 0.10. Determine the test statistic. F=(Round to 4 decimal places as needed.) Find the p-value. p =(Round to three decimal places as needed.) Determine a conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is less than the variance of sample 2. O B. Reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is less than the variance of sample 2. O C. Do not reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is less than the variance of sample 2. O D. Reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is less than the variance of sample 2. b. Test Ho: 07 =02 against Ha: 07 #62 . Use a = 0.01. Determine the test statistic. F=(Round to two decimal places as needed.) Find the p-value. p =(Round to three decimal places as needed.) Determine a conclusion. Choose the correct answer below. A. Do not reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is different from the variance of sample 2. O B. Do not reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is different from the variance of sample 2. O C. Reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is different from the variance of sample 2. O D. Reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is different from the variance of sample 2
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