In the mid-1990s a Nabisco marketing campaign claimed that there were at least 1000 chips in every bag of Chips Ahoy! cookies. A group of Air Force cadets collected a sample of 42 bags of Chips Ahoy! cookies, bought from locations all across the country, to verify this claim. The cookies were dissolved in water and the number of chips (any piece of chocolate) in each bag was hand counted by the cadets. The average number of chips per bag was 1261.6 with standard deviation 117.6 chips. Required:
a. State the hypotheses to test whether the average number of chips per bag is greater than 1000.
b. State and check the conditions to perform this test.
c. Calculate the test statistic and p-value for this test.
d. Give your decision and conclusion for this test at the 5% significance level.