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Chapter 14: Q. 14.65 (page 571)

To find and interpret a confidence interval , at the specified confidence level90% for the slope of the population regression line that relates the response variables to the predictor variable.

Short Answer

Expert verified

The confidence interval =[71.0382,85.8079]

Step by step solution

01

Given information

The given data is

02

Explanation

Calculate the degree of freedom

df=n-2

=10-2

=8

The value of t0.1is 1.860, according to the student t-test.

Make a confidence interval calculation.

x炉-t0.1脳sn=82.4-1.860脳3.949710

=71.0382

x炉-t0.1脳sn=82.4+1.860脳3.949710

=85.8079

Confidence interval =[71.0382,85.8079]

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Most popular questions from this chapter

a. Obtain a point estimate for the mean tax efficiency of all mutual fund portfolios with6% of their investments in energy securities,

b. Determine a 95%confidence interval for the mean tax efficiency of all mutual fund portfolios with6% of their investments in energy securities.

c. Find the predicted tax efficiency of a mutual fund portfolio with6% of its investments in energy securities.

d. Determine a95%prediction interval for the tax efficiency of a mutual fund portfolio with 6%of its investments in energy securities.

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether your can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b) - (h).
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95%Te confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95%prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.10 PCBs and Pelicans. The data from Exercise 14.40for shell thickness and concentration of PCBs of 60Anacapa pelican eggs are on the WeissStats site. Specified value of the predictor variable: 220ppm.

To find and interpret a confidence interval, at the specified confidence level 95%for the slope of the population regression line that relates the response variables to the predictor variable.

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether you can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b)-(f)
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95% confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95% prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.98 Birdies and Score. The data from Exercise 14.34 for number of birdies during a tournament and final score of 63 women golfers are on the WeissStats site. Specified value of the predictor variable:12birdies.

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether your can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b) - (h).
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95% confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95% prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.103 High and Low Temperature. The data from Exercise 14.31for average high and low temperatures in January of a random sample, of 50cities are on the WeissStats site. Specified value of the predictor variable: 55掳F.
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