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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 卤Margin of Error

=x炉卤za2蟽n

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

Table IV in Appendix A contains degrees of freedom from I to 75 consecutively but then contains only selected degrees of freedom.

a. Why couldn't we provide entries for all possible degrees of freedom?

b. Why did we construct the table so that consecutive entries appear for smaller degrees of freedom but that only selected entries occur for larger degrees of freedom?

c. If you had only Table IV, what value would you use for t0 os with df =87 with df=125? with df=650? with df=3000 ? Explain your answers.

When estimating an unknown parameter, what does the margin of error indicate?

Assume that the population standard deviation is known and decide weather use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers.

The variable under consideration is very close to being normally distributed, and the sample size is 10.

Suppose that a simple random sample is taken from a normal population having a standard deviation of 10 for the purpose of obtaining a 95% confidence interval for the mean of the population.

a. If the sample size is 4 , obtain the margin of error.

b. Repeat part (a) for a sample size of 16

c. Can you guess the margin of error for a sample size of 64 ? Explain your reasoning.

Corporate Farms. The U.S. Census Bureau estimates the mean value of the land and buildings per corporate farm. Those estimates are published in the Census of Agriculture, Suppose that an estimate, x, is obtained and that the margin of error is \(1000. Does this result imply that the true mean. 渭, is within \)1000 of the estimate? Explain your answer.
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