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9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 12.4, Problem 49E

Textbook Problem

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You are told that a 95% CI for expected lead content when traffic flow is 15, based on a sample of *n* = 10 observations, is (462.1, 597.7). Calculate a CI with confidence level 99% for expected lead content when traffic flow is 15.

To determine

Find 99% specified confidence interval for the true mean lead content for 15 traffic flow.

**Given info:**

The 95% confidence interval for the true mean lead content when the traffic flow is 15 for a sample of 10 observations is

**Calculation:**

*Linear regression model:*

A linear regression model is given as *x* be the predictor variable.

A linear regression model is given as *x* be the predictor variable. The

*Confidence interval:*

The general formula for the

Where,

Here, the 95% confidence interval for the true mean lead content for 15 traffic flow is

Here, the lower bound is 462.1 and the upper bound is 597.7.

*Point estimate of lead content for 15 traffic flow:*

Point estimate of lead content for 15 traffic flow is obtained as follows:

Thus, the point estimate of lead content for 15 traffic flow

*Critical value for 95% confidence level:*

For 95% confidence level,

Probability and Statistics for Engineering and the Sciences

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