Question 3 10 pts A group of 34 students wants to be certied teachers. It was revealed that it tool-t them an average of ten months with a sample standard deviation of three months to pass the exam. Construct a 95% condence interval for the sample mean of the prep time. l H 1 Round your answer to two decimal digits Construct a 90% condence interval for the sample mean of the prep time. H 1 Round your answer to two decimal digits Question 4 10 pts A manufacturer claims that the life span of its tires is 50,000 miles and the standard deviation is 800 miles. You work for a consumer protection agency and you are testing this manufacturer's tires. You select 100 tires at random and found that the sample mean life span is 49,715 miles. Use a 99% condence interval to test the manufacturer's claim. Assume the life spans of the tires are normally distributed. The condence interval is: ([l | 7 Round your answer to two decimal digits. Is the manufacturer's claim true? (Yes, No) Note: If 50,000 belongs to the condence interval, then the manufacturer's claim is true. Otherwise, the manufacture's claim is not true