Question 1:Professor Handy measured the time inseconds required to catch a falling meter stick for 12 randomlyselected students’ dominant hand and nondominant hand. The MinitabExpress file contains these measurements. Professor Handy claimsthat the reaction time in an individual’s dominant hand is lessthan the reaction time in their nondominant hand. Assuming that thedifferences follow a normal distribution, test the claim at the 5%significance level.

Question 2:The New EnglandPatriots. The 2017 roster of the New England Patriots,winners of the 2017 NFL Super Bowl included 12 defensive linemenand 9 offensive linemen. The Minitab Express file for this problemcontains the weights in pounds of the offensive and defensivelinemen. Use this data set to test the claim that the defensivelinesmen weigh less that the offensive linemen at the 5% level ofsignificance.

Question 3: Stress and weight in rats. In astudy of the effects of stress on weight in rats, 71 rats wererandomly assigned to either a stressful environment or a control(nonstressful) environment. After 21 days, the change in weight (ingrams) was determined for each rat. The table below summarizes thedata on weight gain. Test the claim that stress effects weight.(Use a 10% significance level.)

Group	n	Sample mean	Sample Standard Dev.
Stress	20	26	13.4
No stress	51	32	14.2

Please provide all answers in the following format:

Step 1: State the null and alternative hypothesis. (Use “mu” forthe symbol ?.)

Step 2: Calculate the test statistic.

Step 3: Find the p-value.

Step 4: State your conclusion. (Do not just say “Reject H0” or“Do not reject H0.” State the conclusion in the context of theproblem.)