I’m studying for my Statistics class and need an explanation.

I HAVE ATTACHED A COPY OF AN ANSWER KEY FOR THIS COURSE. PLEASE MODELS YOUR ANSWERS LIKE THE ONES SHOWN IN RED ON THE ANSWER KEY.

**Question 1:**Suppose an educational researcher wants to test whether, on average, there is a difference in number of school absences per year between students in Colorado school districts who have a 4-day school week compared with students in Colorado districts who have a 5-day school week. __(25 points total)__

The researcher collects data for two simple random samples, one of 14 students and the other of 17 students. One sample of students attend schools in 4-day districts and the other attend schools in 5-day districts. The researcher determines that the mean difference in school absences between the two groups is 2 school days per year. The researcher conducts a two-tailed, two-sample t‑test for a difference in means using a=0.05.

- a) Write the null and alternative hypotheses for testing the mean difference in number of days absent between the two groups.
**(5 points)** - b) What are the degrees of freedom for the statistical test that the researcher will conduct?
**(5 points)** - c) What is the critical value for t that the researcher needs to use when determining whether their results are statistically significant?
**(5 points)**

Using additional information (not shown), the researcher determines, the p-value for the difference in means is <0.10, calculating a t score of 1.90.

- a)Based on the information provided above, report the conclusion the researcher should draw about this hypothesis test, and explain the substantive meaning of this conclusion.
**(5 points)** - b) If the researcher had started out with a=0.10, what conclusion would the researcher have drawn about the same hypothesis test and what would the substantive meaning of their conclusion been?
**(5 points)**