Question

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her...

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She
randomly selects a sample of 78 cookies and finds that the number of chocolate chips per cookie in the
sample has a mean of 7.1 and a standard deviation of 3.5. What is the 95% confidence interval for the
number of chocolate chips per cookie for Big Chip cookies?

Homework Answers

Answer #1

Solution :

Given that,

t /2,df = 1.991

Margin of error = E = t/2,df * (s /n)

= 1.991 * (3.5 / 78)

Margin of error = E = 0.8

The 95% confidence interval estimate of the population mean is,

- E < < + E

7.1 - 0.8 < < 7.1 + 0.8

6.3 < < 7.9

(6.3 , 7.9)

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