Show your work clearly, neatly, systematically and understandably. Round the decimal for probability to 5-decimal place and round the percentage to 3-decimal. Use proper notation. MAKE SURE YOU SHOW THE WORK IN "SIX-STEP PROCEDURE" AS SHOWN IN MY CLASS. aton 1. (7) A mileage test is conducted for a new car model, the "GreenCar." Thirty-five Greencars are driven for a month and the mileage is carefully measured in each. The sample mean mileage is 48.6 mpg and the sample standard deviation is 3.2 mpg. Test the claim that the average mpg for all Greencars is more than 45 mpg. Use a = 0.02. The M = 48.4, 10 = 3. 2161 1= 35 1 ) Claim : The average MPG for all Greencars is more than Us mpg 2 ) Hyposthesis : Ho:MC 45 H, : My 45 ( claim ) ( right tail ) 3 ) Test - Statistic : = X - M 48.6 - 45 = 6.655 589 Vn V35 4) P-value = normalof ( 6.65 5589, E99, 0, 1 ) 6. 655 589 = 1 . 41 84 47 5 . ) Informal Conclusion P - Value 7 of Fail to Reject Hop 6 ) Conclusion There is insuffraed evidence to support the claim that P ( * = 48. 6 / M= 45 ) = 1.4984 47 the average MPG for all Greencars is more than 45 mpg 2 ) the 3 ) Test State 2 = X - M2. (7) A Poll showed that most American people support president's efforts in the Middle East peace process. The poll of 1027 adults was conducted and 573 people said they supported the president's efforts. Was the president's efforts supported by majority of the population? Use a = 0.02. 733. (7) A company produces metal pipes of a standard length, and claims that the standard deviation of the length is at most 1.2 cm. One of its clients decides to test this claim by taking a sample of 25 pipes and checking their lengths. They found that the standard deviation of the sample is 1.5 cm. Does this sample undermine the company's claim? Assume the lengths are normally distributed. Use a = 0.02. 2:0102, 7 = 25, 0= 1.5 1) Claim : The Standard deviation of the length is at most 1. 2 c M. 2 ) Hypothesis: F Ho : M = 1. 2 Hi : M $ 1.2 cm ( 2 + ail ) 3 ) Test statistic