Pleаse nоte thаt this questiоn cоnsists of six pаrts. You need to show all your work/explanations to each sub-part of the question. Inadequate explanation/work may result in zero for the question. A physical trainer has developed four workout plans: Plan 1, Plan 2, Plan 3 and Plan 4. He has taken a random sample of 32 participants from the gym who are similar in characteristics and randomly assigned them to one workout plan so that each plan is completed by 8 people. During the workout session he has measured the maximum heart rate of these participants. The trainer wants to see if there is any difference in average maximum heart rate among the four plans. Below is a partial output of the corresponding statistical analysis. Let
Pleаse nоte thаt this questiоn cоnsists of four pаrts. You need to show all mathematical calculations/explanations to get the final answer. Just giving the answer without showing work may result in zero for the question. The recommended tire pressure is 32 psi. The researchers want to know if drivers have tire pressure below the recommended value. They measure the tire pressure for 15 randomly selected cars and find that for this sample the average is 30.1 psi and the standard deviation 3 psi. Assuming tire pressure follows a normal distribution, answer below questions. State the null and alternative hypotheses to answer the researchers’ question. Find the test statistic for the test in part 1. Show how you calculate the test statistic. Find the p value for the test in part 1. You must clearly write down the probability statement for the p-value. You can use the appropriate distribution table or Minitab for the value. Write the final conclusion in the context of the problem, use 5% significance level.