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Chapter 8: Q 8.28 (page 330)
Find the confidence level and for
a. confidence interval.
b. confidence interval
a. Confidence level is and
b. Confidence level isand.
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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.
Batting Averages. An issue of Scientific American revealed that batting averages, of major-league baseball players are normally
distributed and have a mean of and a standard deviation of For samples of batting averages, identify the distribution of each variable.
a.
b.
Must the variable under consideration be normally distributed for you to use the z-interval procedure or interval procedure? Explain your answer.
For a curve with , find each value, and illustrate your results graphically.
a. The value having area to its right
b.
c. The value having area to its left (Hint: A curve is symmetric about
d. The two values that divide the area under the curve into a middle area and two outside areas
Forearm Length. In , K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, Pp. 357-462). The article examined and presented data on forearm length, in inches, for a sample of 140 men, which we have provided on the Weiss Stats site. Use the technology of your choice to do the following.
a. Obtain a normal probability plot, boxplot, and histogram of the data.
b. Is it reasonable to apply the -interval procedure to the data? Explain your answer.
c. If you answered "yes" to part (b), find a confidence interval for men's average forearm length Interpret your result.
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