The sample standard deviations and sample sizes are given for independent simple random samples from twopopulations. Use the two-standard-deviations F-test to conduct the required hypothesis test.
-$\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9$, $\mathrm { s } _ { 2 } = 0.2300 , \mathrm { n } _ { 2 } = 10$; left-tailed test, $\alpha = 0.05$
A)Test statistic: $\mathrm { F } = 0.116$ Critical value: $0.318$. Do not reject $\mathrm { H } _ { 0 }$.
B) Test statistic: $\mathrm { F } = 0.116$ Critical value: $0.310$. Reject $\mathrm { H } _ { 0 }$.
C) Test statistic: $F = 0.116$ Critical value: $0.295$. Do not reject $\mathrm { H } _ { 0 }$.
D) Test statistic: $F = 0.116$ Critical value: $0.295$. Reject $\mathrm { H } _ { 0 }$.

Question

The sample standard deviations and sample sizes are given for independent simple random samples from twopopulations. Use the two-standard-deviations F-test to conduct the required hypothesis test.
-$\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9$, $\mathrm { s } _ { 2 } = 0.2300 , \mathrm { n } _ { 2 } = 10$; left-tailed test, $\alpha = 0.05$  
A)Test statistic: $\mathrm { F } = 0.116$ Critical value: $0.318$. Do not reject $\mathrm { H } _ { 0 }$.
B) Test statistic: $\mathrm { F } = 0.116$ Critical value: $0.310$. Reject $\mathrm { H } _ { 0 }$.
C) Test statistic: $F = 0.116$ Critical value: $0.295$. Do not reject $\mathrm { H } _ { 0 }$.
D) Test statistic: $F = 0.116$ Critical value: $0.295$. Reject $\mathrm { H } _ { 0 }$.

Quizplus · Accepted Answer

The test statistic $ F = 0.116 $ is less than the critical value $ 0.295 $, so we reject $ H_0 $ in a left-tailed test.

The Sample Standard Deviations and Sample Sizes Are Given for Independent