Question

Jeffery swims the 25-yard freestyle, and after using goggles, his mean time is 16 seconds with a sample standard deviation of 2 seconds. Test his father's hypothesis using a 5% level of significance. What is the appropriate statistical test?

A) Paired t-test
B) Chi-square test
C) One-sample t-test
D) Two-sample t-test

Answer 1

Step-by-step explanation:it’s c.

Answer 2

The appropriate statistical test is the one-sample t-test. Option C is answer.

Step-by-step explanation:

Identify the Scenario:

Only one sample (Jeffery's swim times) is involved.

We are comparing the sample mean to a specific value (hypothesis).

Test Options:

Paired t-test: Compares differences between two paired samples. Not applicable here.

Chi-square test: Analyzes categorical data, not suitable for continuous data like time.

One-sample t-test: Compares a sample mean to a specific value, perfect for this situation.

Two-sample t-test: Compares means of two independent samples, not relevant here.

Justification:

We only have data for Jeffery's swim times, making it a single sample.

We want to compare the average time (mean) with a specific value, which necessitates a one-sample t-test.

Therefore, the one-sample t-test is the appropriate statistical test to analyze Jeffery's swim times and test his father's hypothesis.

Option C is answer.