Chapter 8: Q 8.56 (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 and the sample mean.
The given statement is True.
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A simple random sample of size 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 interval procedure? Explain your answer.
"Chips Ahoy! 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 ounce bags of Chips Ahoy! cookies yielded a mean of chips per bag with a standard deviation of chips per bug.
a. Determine a confidence interval for the mean number of chips per bag for all ounce bags of Chips Ahoy! cookies, and interpret your result in words.
b. Can you conclude that the average ounce bag of Chips Ahoy! cookies contain at least chocolate chips? Explain your answer.
Assume that the population standard deviation is known and decide weather use of the 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.
State True or False. Give Reasons for your answers.
The confidence level can be determined if you know only the margin of error, population standard deviation, and sample size.
A confidence interval for a population mean has a margin of error of
a. Determine the length of the confidence interval.
b. If the sample mean is , obtain the confidence interval.
c. Construct a graph that illustrates your results.
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