Question

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 to the right. Complete parts a through c below. 4.7 4.6 1.6 2.3 1.2 3.8 0.6 3.9 C. Test Ho: 02202 against He:0; >o. 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. O A. Do not reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2. O B. Reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2. O C. Reject Ho. There is sufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2. OD. Do not reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2.

Answer 1

a)

test statistic F=(s1/s2)^2 =(3.02/7.64)=0.3954

p value =0.168

since p value <0.01 ;

O A Do not reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is less than the variance of sample 2.

b)

test statistic F=(s1/s2)^2 =(3.02/7.64)=0.3954

p value =0.336

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.

c)

test statistic F=(s1/s2)^2 =(3.02/7.64)=0.3954

p value =0.832

OD. Do not reject Ho. There is insufficient evidence to conclude that the variance of sample 1 is greater than the variance of sample 2