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Chapter 8: Q 71. (page 542)

America鈥檚 favorite cookie Ann and Tori wanted to estimate the average weight of an Oreo cookie to determine if it was less than advertised (34 grams for 3 cookies). They selected a random sample of 36cookies and found the weight of each cookie (in grams). The mean weight was x虅=11.3921grams with a standard deviation of sX=0.0817grams. Construct and interpret a 90%confidence interval for the true mean weight of an Oreo cookie.

Short Answer

Expert verified

The confidence interval is(11.37,11.42).

Step by step solution

01

Given Information

It is given that (x炉)=11.3921

sx=0.0817

n=36

02

Concept Used

tconfidence interval for population mean is calculated as:

CI=x炉卤t伪/2,df脳sn

03

Calculation

As standard deviation is not known, tconfidence interval is used.

Excel gives output as:

Confidence Interval is(11.37,11.42)

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