The Sample Standard Deviations and Sample Sizes Are Given for Independent

question 77

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.
- $\mathrm { s } _ { 1 } = 5.17 , \mathrm { n } _ { 1 } = 25 , \mathrm {~s} _ { 2 } = 2.35 , \mathrm { n } _ { 2 } = 17$ ; right-tailed test, $\alpha = 0.01$

• A) Test statistic: \(\mathrm { F } = 2.2 .\) Critical value \(= 3.18 .\) Do not reject \(\mathrm { H } _ { 0 } .\)
• B) Test statistic: \(\mathrm { F } = 4.84 .\) Critical value: \(\mathrm { F } = 3.18 .\) Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { F } = 4.84 .\) Critical value: \(\mathrm { F } = 3.18 .\) Reject \(\mathrm { H } _ { 0 } .\)
• D) Test statistic: \(\mathrm { F } = 2.2\). Critical value \(= 1.87 .\) Reject \(\mathrm { H } _ { 0 } .\)

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Definitions:

Total Variable Cost

The sum of those costs that rise as output increases. Examples of variable costs are wages paid to workers and payments for raw materials.

Output

The total amount of goods or services produced by a company, sector, or economy during a specific period.

Per-Unit Cost of Production

The average cost incurred in producing one unit of a good or service, including all variable and fixed costs.

Grade-Point Average

A numerical representation of a student's academic performance, averaged across all completed courses.