please help with the following question

Question 5 Question 1.5. What is the test statistics? Question 6 Question 1.6. What is the p-value of the test statistics? (round to 4 decimal piece) Question 7 Question 1.7. What is the critical vaiue for a = 0.05? (for multiple critical vaiues, ll in the positive one) Problem 1. Automobiles manufactured by the Efficiency Companvr have been averaging 42 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 42 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 42.8 miles per gallon with a standard deviation of 1.2 miles per gallon. Answer the following questions 1.1 to question 1.9 regarding problem 1. Question 1.1. The sample mean in problem 1 follows which of the following prohlabiliti,Ir distribution? 0 t distribution 0 Normaldistribuon O Binomial distribution Question 2 Question 1.2. What is the standard deviation of sample mean in problem 1? Question 3 Question 1.3. What should be your Null hypothesis? 0 \":42 O W42 o @1242 O W42 Question 4 Question 1.4. What should be yourAltemative hypothesis? 0 W42 0 \":42 0 i124? O {1'42 Question 8 1 pts Question 1.8. What is your conclusion based on the above calculation? 0 Reiect the Null hypothesis 0 Fail to reject the Null hypothesis 0 Reject the Alternative hypothsis O Fail to reject the Altemative hypothesis Question 9 1 pts Question 1.9. What is the expanation of your conclusion? 0 The new cars average more than 42 miles per gallon O The new cars average no more than 4-2 miles per gallon O The new cars avetage 42 miles pergallon O The new [as average less than 42 miles per gallon