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Chips per Bag In a 1998 advertising campaign, Nabisco

Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III ISBN: 9780321838704 30

Solution for problem 9AYU Chapter Chapter 7.3

Fundamentals of Statistics | 4th Edition

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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III

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:

Answer :

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

Chapter Chapter 7.3, Problem 9AYU is Solved
Step 3 of 3

Textbook: Fundamentals of Statistics
Edition: 4
Author: Michael Sullivan,III
ISBN: 9780321838704

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Chips per Bag In a 1998 advertising campaign, Nabisco

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