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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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Mom and Grandma are each baking chocolate chip cookies.

Chapter 4, Problem 17E

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QUESTION:

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.

Questions & Answers

QUESTION:

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.

ANSWER:

Solution

Step 1 of 6

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

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