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Chapter 8: Q 8.46 (page 331)
Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.
Decreasing the confidence level while keeping the same sample size.
Accuracy to estimate the population mean is increased.
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Medical Marijuana. An issue with legalization of medical marijuana is "diversion," the process in which medical marijuana prescribed for one person is given, traded, or sold to someone who is not registered for medical marijuana use. Researchers S. Sautel et al. study the issue of diversion in the article "Medical Marijuana Use Among Adolescents in Substance Abuse Treatment" . The mean number of days that adolescents in substance abuse treatment used medical marijuana in the last six months was . Assume the population standard deviation is days.
a. Find a confidence interval for the mean number of days, , of diverted medical marijuana use in the last 6 months of all adolescents in substance abuse treatment.
b. Repeat part (a) at a confidence level.
c. Draw a graph similar to Fig. on page to display both confidence intervals.
d. Which confidence interval yields a more accurate estimate of ? Explain your answer.
Why do you need to consider the student zed version of to develop a confidence-interval procedure for a population means when the population standard deviation is unknown?
Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.
Increasing the confidence level while keeping same sample size.
Poverty and Dietary Calcium. Refer to Exercise 8.70.
a. Find a confidence interval for .
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 Fig on page 326 to display both confidence intervals.
d. Which confidence interval yields a more accurate estimate of ? Explain your answer.
The Coruro's Burrow. The subterranean coruro (Spalacopus cyanus) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean coruro in central Chile and published their findings in the paper "Spalacopus cyanus (Rodentia: Octodontidac): An Extremist in Tunnel Constructing and Food Storing among Subterranean Mammals" (Journal of Zoology, Vol. 251. pp. ). A sample of burrows had the depths, in centimeters (cm), presented on the Weiss Stats site. Use the technology of your choice to do the following.
a. Obtain a normal probability plot. boxplot, histogram, and stem and leaf diagram of the data.
b. Based on your results from part (a), can you reasonably apply the interval procedure to the data? Explain your reasoning.
c. Find and interpret a confidence interval for the mean depth of all subterranean coruro burrows.
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