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Chapter 8: Q 8.59 (page 331)

The margin of error can be determined if you know only the confidence level, population standard deviation, and sample size.

Short Answer

Expert verified

The given statement is True.

Step by step solution

01

Given Information

Confidence level, population standard deviation and sample size is known to us.

02

Explanation

Mathematically, margin of error is calculated as:

E=zα2σn

σis population standard deviation.

n is sample size.

Hence, the given statement is True.

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Most popular questions from this chapter

A confidence interval for a population mean has a margin of error of 0.047

a. Determine the length of the confidence interval.

b. If the sample mean is 0.205, obtain the confidence interval.

c. Construct a graph that illustrates your results.

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.

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.

A simple random sample of size 100 is taken from a population with an unknown standard deviation. A normal probability plot of the data displays significant curvature but no outliers. Can you reasonably apply the t-interval procedure? Explain your answer.

"Chips Ahoy! 1,000 Chips Challenge." As reported by B. Warner and J. Rutledge in the paper "Checking the Chips Ahoy! Guarantee" (Chanee, Vol. 12. Issue 1. pp. 10-14), a random sample of forty-two 18-ounce bags of Chips Ahoy! cookies yielded a mean of 1261.6 chips per bag with a standard deviation of 117.6 chips per bug.

a. Determine a 95% confidence interval for the mean number of chips per bag for all 18-ounce bags of Chips Ahoy! cookies, and interpret your result in words.

b. Can you conclude that the average 18-ounce bag of Chips Ahoy! cookies contain at least 1000 chocolate chips? Explain your answer.
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