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Chapter 8: Q 8.55 (page 331)

State True or False. Give Reasons for your answers..

The confidence interval can be obtained if you know only the margin of error.

Short Answer

Expert verified

The given statement is False.

Step by step solution

01

Given Information

It is given that Margin of Error is known to us.

02

Explanation

We know that

Confidence Interval =Point Estimate ±Margin of Error

=x¯±za2σn

Confidence Interval is calculated only if we know both margin of error and sample mean.

The given statement is False.

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Most popular questions from this chapter

Two t-curves have degrees of freedom 12 and 20 , respectively. Which one more closely resembles the standard normal curve? Explain your answer.

Political Prisoners. A. Ehlers et al. studied various characteristics of political prisoners from the former East Germany and presented their findings in the paper "Posttraumatic Stress Disorder (PTSD) Following Political Imprisonment: The Role of Mental Defeat. Alienation, and Perceived Permanent Change". According to the article. the mean duration of imprisonment for 32 patients with chronic PTSD was 33.4months. Assuming that σ=42months, determine a 95%confidence interval for the mean duration of imprisonment,μ. of all East German political prisoners with chronic PTSD. Interpret your answer in words.

Express the form of most of the confidence intervals that you will encounter in your study of statistics in terms of "point estimate" and "margin of error."

Poverty and Dietary Calcium. Refer to Exercise 8.70.

a. Find a 90%confidence interval for μ.

b. Why is the confidence interval you found in part (a) shorter than the one in Exercise 8.70?

c. Draw a graph similar to that shown in Fig8.6 on page 326 to display both confidence intervals.

d. Which confidence interval yields a more accurate estimate of μ? Explain your answer.

Explain why the margin of error determines the accuracy with which a sample mean estimates a population mean.
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