In 2008, as an advertising campaign, the Nabisco Company announced a "1200 Chips Challenge," claiming that their 18-ounce bag of Chips Ahoy cookies contained an average of at least 1200 individual chocolate chips. Dedicated statistics students at the Air Force Academy (no kidding, they actually did this) purchased some randomly selected bags of cookies and counted the chocolate chips. Data from their sample is given below. 1219, 1214, 1087 , 1200 , 1419,1121 , 1325 , 1345 , 1244, 1258 , 1356, 1132 , 1191 , 1270 , 1295 , 1135 Find a 95% confidence interval for the population mean number of chips in a bag of Chips Ahoy Cookies. (Give final answers to 2 decimal place accuracy) ANSWER: It can be stated with 95% confidence that the true population mean number of chocolate chips in a bag of Chips Ahoy Cookies lies in the interval chocolate chips per bag Based on this confidence interval, is the Nabisco Company justified in making their claim? O yes, because the true population mean is above 1200 O no, because it is possible the true population mean is below 1200

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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In 2008, as an advertising campaign, the Nabisco Company announced a "1200 Chips Challenge,"
claiming that their 18-ounce bag of Chips Ahoy cookies contained an average of at least 1200
individual chocolate chips. Dedicated statistics students at the Air Force Academy (no kidding, they
actually did this) purchased some randomly selected bags of cookies and counted the chocolate
chips. Data from their sample is given below.
%3D
1219, 1214, 1087, 1200 , 1419,1121 , 1325 , 1345 , 1244,
1258 , 1356, 1132, 1191 , 1270, 1295, 1135
Find a 95% confidence interval for the population mean number of chips in a bag of Chips Ahoy
Cookies. (Give final answers to 2 decimal place accuracy)
ANSWER: It can be stated with 95% confidence that the true population mean number of chocolate
chips in a bag of Chips Ahoy Cookies lies in the interval
<μ <
chocolate chips per bag
Based on this confidence interval, is the Nabisco Company justified in making their claim?
O yes, because the true population mean is above 1200
no, because it is possible the true population mean is below 1200
Transcribed Image Text:In 2008, as an advertising campaign, the Nabisco Company announced a "1200 Chips Challenge," claiming that their 18-ounce bag of Chips Ahoy cookies contained an average of at least 1200 individual chocolate chips. Dedicated statistics students at the Air Force Academy (no kidding, they actually did this) purchased some randomly selected bags of cookies and counted the chocolate chips. Data from their sample is given below. %3D 1219, 1214, 1087, 1200 , 1419,1121 , 1325 , 1345 , 1244, 1258 , 1356, 1132, 1191 , 1270, 1295, 1135 Find a 95% confidence interval for the population mean number of chips in a bag of Chips Ahoy Cookies. (Give final answers to 2 decimal place accuracy) ANSWER: It can be stated with 95% confidence that the true population mean number of chocolate chips in a bag of Chips Ahoy Cookies lies in the interval <μ < chocolate chips per bag Based on this confidence interval, is the Nabisco Company justified in making their claim? O yes, because the true population mean is above 1200 no, because it is possible the true population mean is below 1200
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