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Chapter 8: Q 8.58 (page 331)

State True or False. Give Reasons for your answers.

The confidence level can be determined if you know only the margin of error.

Short Answer

Expert verified

The given statement is False.

Step by step solution

01

Given Information

Margin of Error is known to us.

02

Explanation

Margin of error is obtained if we know nand 蟽.

So, we cannot calculate Margin of Error if we know confidence level 伪.

Hence, the statement is False.

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Most popular questions from this chapter

State True or False. Give Reasons for your answers.

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

Suppose that you have obtained data by taking a random sample from a population and that you intend to find a confidence interval for the population mean, 渭. Which confidence level, 95% or 99%, will result in the confidence interval giving a more accurate estimate of 渭 ?

A confidence interval for a population mean has length 20.

a. Determine the margin of error.

b. If the sample mean is 60, obtain the confidence interval.

c. Construct a graph that illustrates your results.

Class Project: Gestation Periods of Humans. This exercise can be done individually or, better yet, as a class project. Gestation periods of humans are normally distributed with a mean of 266 days and a standard deviation of 16 days.

a. Simulate 100 samples of nine human gestation periods each.

b. For each sample in part (a), obtain a 95% confidence interval for the population mean gestation period.

c. For the 100 confidence intervals that you obtained in part (b), roughly how many would you expect to contain the population mean gestation period of 266 days?

d. For the 100 confidence intervals that you obtained in part (b), determine the number that contain the population mean gestation period of 266 days.

e. Compare your answers from parts (c) and (d), and comment on any observed difference.

Identify the formula for the margin of error for the estimate of a population mean when the population standard deviation is unknown.
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