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Chapter 8: Q 8.57 (page 331)

State True or False. Give Reasons for your answers.

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

Short Answer

Expert verified

The given statement is False.

Step by step solution

01

Given Information

It is given that Confidence Level is known to us.

02

Explanation

Margin of Error calculates precision of confidence interval.

Mathematically,

E=za2蟽n

nis sample size and 蟽is population standard deviation.

Also,

Margin of Error, E=12(Confidence Interval)

Hence, we can calculate margin of error if we know confidence level, sample size and population standard deviation.

The given statement is False.

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Most popular questions from this chapter

A simple random sample is taken from a population and yields the following data for a variable of the population:

Find a point estimate for the population mean (i.e., the mean of the variable).

Venture-Capital Investments. In Exercise 8.69, you found a 95%confidence interval for the mean amount of all venture-capital investments in the fiber optics business sector to be from \(5.389million to\)7.274million. Obtain the margin of error by

a. taking half the length of the confidence interval.

b. using Formula 8.1on page 325. (Recall that and that 蟽=$2.04million.)

Suppose that you take500 simple random samples from a population and that, for each sample, you obtain a 90%confidence interval for an unknown parameter. Approximately how many of those confidence intervals will not contain the value of the unknown parameter?

Batting Averages. An issue of Scientific American revealed that batting averages, xof major-league baseball players are normally

distributed and have a mean of 0.270 and a standard deviation of 0.031 For samples of 20 batting averages, identify the distribution of each variable.

a. x炉-0.2700.031/20

b. x炉-0.270s/20

We provide a sample mean, sample size, and population standard deviation. In each case, perform the following tasks.

a. Find a 95% confidence interval for the popularion mean. (Note: You may want to review Example 8.2, which begins on page 316.)

b. Identify and interpret the margin of error:

c. Express the endpoints of the confidence interval in terms of the point estimate and the margin of error.

where, x^=20,n=36,蟽=3
See all solutions

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