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Chapter 8: Q. 30 (page 478)

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. LetX= the age of a Winter Foothill College student.

Construct a 95%Confidence Interval for the true mean age of Winter Foothill College students.

How much area is in both tails (combined)? 伪=_____?

Short Answer

Expert verified

Area in both tails is 伪=0.05.

Step by step solution

01

Given Information

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. The mean age for the sample was 30.4.

02

Final answer

The average of a set of data is called the mean. The 95% confidence interval is a set of numbers that you may be 95%positive contains the population's true mean.

The area covered in both the tails is given by 伪.

The confidence level is 95%or 0.95. Then 伪is calculated as shown below,

伪=1-0.95

=0.05

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