1. A professor is interested in the number of hours/week students study for a statistics class. In the past, it was found that students study an average of 5 hours each week. The professor selects a sample of 6 students from the current class and asks them how much they study each week. Below you will find the data: 5, 7, 4, 4, 7, 3 By hand, conduct a single sample t-test to determine if the current students' mean number of hours spent studying differs from the mean of 5 found in the past. Hint: Follow the 4 steps of hypothesis testing and notate them below and report answers to two decimal places. SHOW YOUR WORK! title below to conduct a related samples things M: , SD: df: tobs : forit(Find in t_table on RN): Reject or fail to reject the Null Hypothesis:Using APA style, Please write out the results. Report whetherp is above or below the alphl level (you do not have the exact p-value). A successful APA statement will include the hypothesis test used, the mean and standard deviation ofthe sample. the mean ofthe pOpulation a statement ofsignicance, and a statement ofinferential statistics. Round all values to two decimal places. 2. A professor wants to know how effective their teaching style is to make adjustments if necessary, so they administered a pretest of class content on the rst day of class, then the same test again during midterms. The test was out of 15 points, and the scores from both the pretest and posttest are in the table below. Is there evidence to suggest that their teaching style is making a difference in students' understanding of the class content? Use OL = .05. a. Complete the hypotheses for this question: Ho:un_. H13l10_ Use the table below to conduct a related samples t-test by hand. Pretest Posttest ( (X1 ) X2) Calculate the following statistics and report them to W. SHOW YOUR WORK! a) df=__ b) SD = _ c) SMD (standard error of the mean difference) = d) tobs= e) tcrit=_ Find in t table on RN f) Reject / fail to reject the null hypothesis