Question

A strength coach claims that his new regiment will add significant distance to how far his players can hit a baseball. The other coaches decide to test this. They randomly select 49 players to go through his regiment. Before starting, they have each player hit 50 baseballs and record their average distance. The players then go through the strength and conditioning regiment. Afterwards, they again hit 50 baseballs, and record the average distance. Which of the following would be the most appropriate confidence interval for measuring the average difference in the distance the ball traveled before and after the new regiment? O x? Goodness of Fit interval Two-sample z-interval for proportions Paired t-interval for means Two-sample t-interval for means One-sample z-interval for proportions

Answer 1

Answer:

Paired t-interval for means

Explanation:

For the given scenario, two samples are dependent samples. There is a before-after one-to-one relationship exists between the observations of the samples. Also, we do not provide the population standard deviation for the difference values. We have to construct the confidence interval for the mean population difference. So, we need to use paired t-interval for means.