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Chapter 8: Q. 116 (page 489)

What is the error bound?

a.0.87b.1.98c.0.99d.1.74

Short Answer

Expert verified

c.0.99

Step by step solution

01

Given information

A quality control specialist for a restaurant chain takes a random sample of size 12to check the amount of soda served in the 16oz. serving size.

The sample mean is 13.30with a sample standard deviation of 1.55.

02

Explanation

The error bound Confidence interval is given by

x炉卤Zsn

We know that x=13.30;s=1.55;n=12;Confidenceinterval=95%;Z-factor=1.959s

Plugging the values in the above error bound equation we get

errorbound=13.30卤1.959脳1.55脳1.5512errorbound=0.99

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Most popular questions from this chapter

Suppose 250randomly selected people are surveyed to determine if they own a tablet. Of the 250surveyed, 98reported owning a tablet. Using a95% confidence level, compute a confidence interval estimate for the true proportion of people who own tablets

Why would the error bound change if the confidence level were lowered to95%?

Using the same p鈥� and level of confidence, suppose that n were increased to 100. Would the error bound become larger

or smaller? How do you know?

The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X=the age of a Winter Foothill College student.

role="math" localid="1648388299408" x炉=_____

In complete sentences, explain why the confidence interval in Exercise 8.17 is larger than in Exercise 8.18.
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