To assess whether degreed nurses received a more comprehensive training than registered...

To assess whether degreed nurses received a more comprehensive training than registered nurses, a study was designed to compare the two groups. The state nursing licensing board randomly selected 50 nurses from each group for evaluation. They were given the state licensing board examination and their scores are summarized in the following tables and graphs.

a. Can the licensing board conclude that the mean score of nurses who receive a BS in nursing is higher than the mean score of registered nurses? Use α = .05.

b. Report the approximated p-value for your test.

c. Estimate the size of the difference in the mean scores of the two groups of nurses using a 95% confidence interval.

d. The mean test scores are considered to have a meaningful difference only if they differ by more than 40 points. Is the observed difference in the mean scores a meaningful one?