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 \(\mathrm { H } _ { 0 }\).

---

Definitions:

Reproductive Isolating Mechanism

Biological features or behaviors that prevent species from mating with each other, thereby maintaining species boundaries.

Speciation

The evolutionary process by which populations evolve to become distinct species, typically as a result of genetic isolation and environmental pressures.

Palms

A diverse family of tropical plants known for their large, compound, evergreen leaves and found in warm climates around the world.

Allopolyploidy

Refers to polyploidy (more than two paired chromosomes) resulting from interspecific hybridization. If polyploidy arises within a species, it’s called autopolyploidy.