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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=za2σn

nis sample size and σis 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

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.

For what is normal population an abbreviation?

One-Sided One-Mean z-Intervals. Presuming that the assumptions for a one-mean z-interval are satisfied, we have the following formulas for (1-α)-level confidence bounds for a population mean \(\mu\) :

- Lower confidence bound: x~-zσ·σ/n

- Upper confidence bound: x¯+zα·σ/n

Interpret the preceding formulas for lower and upper confidence bounds in words.

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,σ=3

A simple random sample of size 17 is taken from a population with an unknown standard deviation. A normal probability plot of the data reveals an outlier but is otherwise roughly linear. Can you reasonably apply the t-interval procedure? Explain your answer.
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