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

---

Definitions:

Psychoanalysis

A therapeutic approach that focuses on exploring unconscious desires and conflicts to understand and treat psychological disorders.

Applied Behavior Analysis

A therapy based on the science of learning and behavior, aiming at improving specific behaviors and understanding how behaviors are affected by the environment.

Deinstitutionalization

A social movement and policy trend aimed at reducing the population of mental hospitals and transferring care to less isolated community-based settings.

Mental Hospitals

Medical institutions dedicated to providing care and treatment for people suffering from mental health conditions, commonly referred to as psychiatric hospitals.