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Chapter 8: Q 8.120. (page 343)

A simple random sample of size 17 is taken from a population with an unknown standard deviation. A normal probability plot of the data reveals an outlier but is otherwise roughly linear. Can you reasonably apply the t-interval procedure? Explain your answer.

Short Answer

Expert verified

No.

Step by step solution

01

Given information

From a population with an unknown standard deviation, a simple random sample of size 17 is taken.

02

Concept

The t-interval procedure will be used.

03

Explanation

In this scenario, we cannot use the t-interval technique to get the C.I for the population mean. The sample size is n=17, which is considered modest. The normal probability plot also reveals an outlier but is otherwise linear. As a result, we can't utilize the t-interval technique because it can't be used with a modest sample size if the data contains outliers. However, if the removal of the outlier is warranted, we can utilize the t-interval approach because the normal probability plot following the outlier removal is generally linear.

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