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Chapter 8: Q.19 (page 478)

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

Short Answer

Expert verified

A larger confidence level results in larger areas and larger intervals.

Step by step solution

01

Given Information

Explain why the confidence interval?

02

Explanation

The interval is greater because the level of confidence increased. If the only change made in the analysis is a change in confidence level, then all we are doing is changing how much area is being calculated for the normal distribution. Therefore, a larger confidence level results in larger areas and larger intervals.

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Most popular questions from this chapter

Define the random variable X in words.

124. Refer to Exercise 8.123. Another question in the poll was "[How much are) you worried about the quality of education in our schools?" Sixty-three percent responded "a lot". We are interested in the population proportion of adult Americans who are worried a lot about the quality of education in our schools.

XandP'

b. Which distribution should you use for this problem? Explain your choice.

c. Construct a 95% confidence interval for the population proportion of adult Americans who are worried a lot about the quality of education in our schools.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

d. The sampling error given by Yanklovich Partners, Inc. (which conducted the poll) is 卤3%. In one to three complete sentences, explain what the 卤3% represents.

Construct a 90% confidence interval for the population mean weight of the heads of lettuce. State the confidence interval, sketch the graph and calculate the error bound.

Explain in complete sentences what the confidence interval means.

Which distribution should you use for this problem?
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