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 were hand counted by the cadets. The average number of chips per bag was 1261.6, with standard deviation 117.6 chips.

(a) Why were the cookies bought from locations all over the country?

(b) Test whether the average number of chips per bag is greater than 1000. Show all details.

(c) Does part (b) confirm Nabisco’s claim that every bag has at least 1000 chips? Why or why not?