Discuss the following problem:
Q: Consumer reports stated that the mean time for a Chrysler Concorde to go from 0 to 60 miles per hour was 8.7 seconds.
a) If you want to set up a statistical test to challenge the claim of 8.7 seconds, what would you use for the null hypothesis?
b) The town of Leadville, Colorado has an elevation over 10,000 feet. Suppose you wanted to rest the claim that the average time of accelerate from 0 to 60 miles per hour is longer in Leadville (because of less oxygen). What would you use for the alternate hypothesis?
c) Suppose you made an engine modification and you think that the average time to accelerate from 0 to 60 miles per hour has been reduced. What would you use for the alternate hypothesis?
d) For each of the test in part (b) and (c) would the p-value area on the left, on the right or on both sides of the mean? Explain the answer in each case.