Question

For each question, identify the appropriate statistical scenario described in the problem background.

Background: A company has recently started an exercise program for its workers to assess if it will improve job satisfaction on average, as measured by a questionnaire (with higher scores indicating more satisfied employees). Scores for 30 randomly selected workers were recorded both before the start of the program and after the exercise program’s implementation.

A) Paired t-test

B) Chi-square test

C) Regression analysis

D) Analysis of variance (ANOVA)

Answer 1

The correct statistical scenario for evaluating the impact of the exercise program on workers' job satisfaction with 'before' and 'after' scores is the Paired t-test due to the paired nature of the data.

Step-by-step explanation:

The appropriate statistical scenario for the company assessing the impact of its exercise program on job satisfaction, with scores recorded before and after the program's implementation, is the Paired t-test. This is because the same group of workers is being measured twice, providing a set of paired data. Each worker has a 'before' and 'after' score, and the paired t-test will compare the means of these two related groups to see if there has been a significant change in job satisfaction.