Five athletes were recruited for a research study to see if the time they drink Gatorade has an effect on how refreshing it tastes. They were each given a Gatorade before practice one day (X), and after practice another day(Y). Each participants had to report how refreshed they felt both times on a scale from 1 to 10, with 1 being not refreshing at all and 10 being extremely refreshing. The mean rating of the Gatorade before practice was 4.60 and was 7.40 after practice, with a standard error of 0.58, alpha = 0.05; two - tailed.

a. Given the information above, what type of design is this study? Be as specific as possible.

b. State the null hypothesis and alternative hypothesis.

c. State the critical t value with proper formatting, perform the appropriate t test, report the calculated t value, provide an interpretation for the null hypothesis. Show the work in detail.

Critical t value: _____________

Calculated t value: _______________

Interpretation: _____________