The Sample Standard Deviations and Sample Sizes Are Given for Independent

question 22

Multiple Choice

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.
- $\mathrm { s } _ { 1 } = 32.2 , \mathrm { n } _ { 1 } = 61 , \mathrm {~s} _ { 2 } = 26.8 , \mathrm { n } _ { 2 } = 31 \text {; right-tailed test, } \alpha = 0.01$

• A)Test statistic: \(\mathrm { F } = 38.69\). Critical value \(= 2.03\). Reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { F } = 1.44\). Critical value \(= 2.21\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { F } = 1.44\). Critical value \(= 2.03\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { F } = 1.2\). Critical value \(= 2.21\). Do not reject \(\mathrm { H } _ { 0 }\).

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