Nabisco, the maker of Chips Ahoy! Cookies claims that there are at least 1000 chocolate chips in each 18 ounce bag of Chips Ahoy! Cookies. A simple random sample of 42 bags of cookies yielded the following data on number of chocolate chips in 18 ounce bags of Chips Ahoy!. 1200 1219 1103 1213 1258 1325 1295 1247 1098 1185 1087 1377 1363 1121 1279 1269 1199 1244 1294 1356 1137 1545 1135 1143 1215 1402 1419 1166 1132 1514 1270 1345 1214 1154 1307 1293 1546 1228 1239 1440 1219 1191 a) Find a point estimate for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. (Note: ) b) Determine a 95.44% confidence interval for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. Assume c) How would you decide whether the number of chocolate chips are approximately normally distributed? d) Must the number of chocolate chips per bag be exactly normally distributed for the confidence interval you found in part (b) to be approximately correct?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Nabisco, the maker of Chips Ahoy! Cookies claims that there are at least 1000 chocolate chips in each 18 ounce bag of Chips Ahoy! Cookies. A simple random sample of 42 bags of cookies yielded the following data on number of chocolate chips in 18 ounce bags of Chips Ahoy!.

1200 1219 1103 1213 1258 1325 1295

1247 1098 1185 1087 1377 1363 1121

1279 1269 1199 1244 1294 1356 1137

1545 1135 1143 1215 1402 1419 1166

1132 1514 1270 1345 1214 1154 1307

1293 1546 1228 1239 1440 1219 1191

a) Find a point estimate for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. (Note: )
b) Determine a 95.44% confidence interval for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. Assume
c) How would you decide whether the number of chocolate chips are approximately normally distributed?
d) Must the number of chocolate chips per bag be exactly normally distributed for the confidence interval you found in part (b) to be approximately correct?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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