The Sample Standard Deviations and Sample Sizes Are Given for Independent

question 80

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.
- $\mathrm { s } _ { 1 } = 0.0782 , \mathrm { n } _ { 1 } = 9$ , $\mathrm { s } _ { 2 } = 0.2300 , \mathrm { n } _ { 2 } = 10$ ; 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 \(\mathrm { H } _ { 0 }\).

---

Definitions:

Behavioral Learning

A process of learning that involves changes in an individual's behavior, often as a result of experience or conditioning.

Cue

A signal or prompt that triggers a response or indicates the nature of something.

Stimulus

An event or object that evokes a specific functional reaction in an organ or tissue, often used in psychological contexts to denote an external cue or trigger.

Behavioral Learning

A process of acquiring new behaviors or modifying existing ones through associations between stimuli and responses.