In 1998, as an advertising campaign, the Nabisco Company announced a 1000 Chips Challenge, claiming that every 18-ounce bag of their Chips Ahoy cookies contained at least 1000 chocolate chips. Dedicated Statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies, and counted the chocolate chips. Some of their data are given below. (Chance, 12, no. 1[1999])
|
1219
|
1214
|
1087
|
1200
|
1419
|
1121
|
1325
|
1345
|
|
1244
|
1258
|
1356
|
1132
|
1191
|
1270
|
1295
|
1135
|
a) Check the assumptions and conditions for inference. Comment on any concerns you have.
b) Create a 95% confidence interval for the average number of chips in bags of Chips Ahoy cookies.
c) What does this evidence say about Nabiscos claim? Use your confidence interval to test an appropriate hypothesis and state your conclusion.