1. Question:

In a study investigating the relationship between hours of

study and exam scores, a sample of 100 students was

selected. The mean score in the sample was 75, and the

standard deviation was 5. The population standard

deviation is unknown. What statistical test is appropriate to

determine if there is a significant relationship between

hours of study and exam scores?

a) Paired t-test

b) Chi-square test

c) One-sample t-test

d) Independent t-test

Answer:

c) One-sample t-test

Rationale:

The one-sample t-test is used to determine whether the

mean of a single sample differs significantly from a known

or hypothesized population mean. In this case, the

researcher wants to test if the average exam score (75)

differs significantly from the population mean.

2. Question:

A researcher is interested in investigating whether there is a

significant difference in exam scores between two different