Please help with the following assignment (will give helpful rating):

2. Using the tire manufacturer from problem No. 11. the manufacturer claims that the mean lifetime mileage for this particular brand of tires is 60,000 miles. A consumer group believes the mean lifetime mileage is less than 60,000 miles. A. Is there sufficient evidence to support the manufacturer's claim of a mean of 60,000 miles? lcarry out an appropriate test at a 5% signicance level. (20 points) NOTE: It is not necessary to verify conditions. 0. Would your conclusion be any different if the test were carried out at a 1% signicance level? Explain. (4 points) C. Explain, In words, what would constitute a type I error In the context of the problem. (4 points} 1. A tire manufacturer wishes to test a sample of its best-selling tire for average lifetime mileage. When the manufacturing process is operating properly, the standard deviation of the mileage is known to tie a = 2.500. An SR5 of 100 tires is selected and is found to have mean mileage x = 59,500. You wish to construct a 95% confidence interval for p. A. Identify ,u, the parameter about which we want to draw conclusions. {5 points] B. Verify that the necessary conditions exist for construction of a confidence interval. (4 points)C. Calculate a 95% confidence interval for u. (6 points)D. Interpret the confidence level of 95%. (6 points)E. \"that will happen to your condence interval if your confidence level is raised to 99%? (2 points)