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Mom and Grandma are each baking chocolate chip cookies.

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 17E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 17E

Mom and Grandma are each baking chocolate chip cookies. Each gives you two cookies. One of Mom's cookies has 14 chips in it and the other has 11. Grandma's cookies have 6 and 8 chips.

a. Estimate the mean number of chips in one of Mom's cookies.

b. Estimate the mean number of chips in one of Grandma's cookies.

c. Find the uncertainty in the estimate for Mom's cookies.

d. Find the uncertainty in the estimate for Grandma's cookies.

e. Estimate how many more chips there are on the average in one of Mom's cookies than in one of Grandma's. Find the uncertainty in this estimate.

Step-by-Step Solution:

Step 1 of 6</p>

Let X1 and  X2 be the no.of chips in two of mom’s cookies

Let Y1 and  Y2 be the no.of chips in two of grandma’s cookies

Let be the mean no.of chips in mom’s cookies

Let be the mean no.of chips in grandma’s cookies

Here  Xi poisson( )

Here  Yi poisson( )

Given  X1 =14,  X2 =11,  Y1 =6,  Y2 =8

Step 2 of 6</p>

a) we have to find the mean no.of chips in mom’s cookies

The mean of the poisson distribution is

Here =

              =(14+11)/2

              =12.5

Hence the mean no.of chips in mom’s cookies is 12.5

Step 3 of 6</p>

b)  we have to find the mean no.of chips in grandma’s cookies

The mean of the poisson distribution is

Here =

              =(6+8)/2

              =7

Hence the mean no.of chips in grandma’s cookies is 7

Step 4 of 6

Chapter 4.3, Problem 17E is Solved
Step 5 of 6

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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