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a) I have placed my work and my answer on my answer sheet.b) I want to have points deducted from my test for not working this problem.Question 20Your answer is CORRECT.This is a written question, worth 14 points. DO NOT place the problem code on the answersheet. A proctor will fill this out after exam submission. Show all steps (work) on youranswer sheet for full credit.Problem Code: 2023In a recent publication, it was reported that the average highway gas mileage of tested models of anew car was 33.1 mpg and approximately normally distributed. A consumer group conducts itsown tests on a simple random sample of 15 cars of this model and finds that the mean gas mileagefor their vehicles is 31.2 mpg with a standard deviation of 3.6 mpg.Part a: Perform a test to determine if these data support the contention that the true mean gasmileage of this model of car is different from the published value.10 of 117/20/14, 11:28 AM
Part b: Perform a test to determine if these data support the contention that the true mean gasmileage of this model of car is less than the published value.Part c: Explain why the answers to part a and part b are different.a) I have placed my work and my answer on my answer sheet.b) I want to have points deducted from my test for not working this problem.Question 21Your answer is CORRECT.This is a written question, worth 14 points. DO NOT place the problem code on the answersheet. A proctor will fill this out after exam submission. Show all steps (work) on youranswer sheet for full credit.Problem Code: 2123Suppose the random variable X has pdf given by the following function with 0 ≤x≤aPart a:Find the value of aso that this is a valid pdf.:Part b:Find P(x ≤1)a) I have placed my work and my answer on my answer sheet.b) I want to have points deducted from my test for not working this problem.11 of 117/20/14, 11:28 AM