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# Chips per Bag In a 1998 advertising campaign, Nabisco

ISBN: 9780321838704 30

## Solution for problem 9AYU Chapter Chapter 7.3

Fundamentals of Statistics | 4th Edition

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Problem 9AYU

Chips per BagĀ In a 1998 advertising campaign, Nabisco claimed that every 18-ounce bag of Chips Ahoy! Cookies contained at least 1000 chocolate chips. Brad Warner and Jim Rutledge tried to verify the claim. The following data represent the number of chips in an 18-ounce bag of Chips Ahoy! based on their study.

 1087 1098 1103 1121 1132 1185 1191 1199 1200 1213 1239 1244 1247 1258 1269 1307 1325 1345 1356 1363 1135 1137 1143 1154 1166 1214 1215 1219 1219 1228 1270 1279 1293 1294 1295 1377 1402 1419 1440 1514 Source: ChanceĀ 12(1): 10-14, 1999

(a) Use the following normal probability plot to determine if the data could have come from a normal distribution.

(b) Determine the mean and standard deviation of the sample data.

(c) Using the sample mean and sample standard deviation obtained in part (b) as estimates for the population mean and population standard deviation, respectively, draw a graph of a normal model for the distribution of chips in a bag of Chips Ahoy!.

(d) Using the normal model from part (c), find the probability that an 18-ounce bag of Chips Ahoy! selected at random contains at least 1000 chips.

(e) Using the normal model from part (c), determine the proportion of 18-ounce bags of Chips Ahoy! that contains between 1200 and 1400 chips, inclusive.

Step-by-Step Solution:

Step 1 :

a)

From the plot, we see that the points on the pattern lie close to the straight line and it indicates that the sample data could have come from a population that is normally distributed.

b)

...
 x x - (- 1087 -160.4 25728.16 1185 -62.4 3893.76 1239 -8.4 70.56
Step 2 of 3

Step 3 of 3

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