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Chapter 10: Q.1.3 (page 608)
Find the probability that is less than or equal to . Show your work.
The required probability is .
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Explain why the conditions for using two-sample z procedures to perform inference about are not met in the settings
Shrubs and 铿乺e Fires are a serious threat to shrubs in dry climates. Some shrubs can resprout from their roots after their tops are destroyed. One study of resprouting took place in a dry area of Mexico.The investigators randomly assigned shrubs to treatment and control groups. They clipped the tops of all the shrubs. They then applied a propane torch to the stumps of the treatment group to simulate a 铿乺e. All of the shrubs in the treatment group were resprouted. Only of the shrubs in the control group were resprouted.
A scatterplot and a least-squares regression line are shown in the figure below. If the labeled point is removed from the data set, which of the following statements is true ?
(a) The slope will decrease, and the correlation will decrease.
(b) The slope will decrease, and the correlation will increase.
(c) The slope will increase, and the correlation will increase.
(d) The slope will increase, and the correlation will decrease.
(e) No conclusion can be drawn since the other coordinates are unknown.
43. Is red wine better than white wine? Observational studies suggest that moderate use of alcohol by adults reduces heart attacks and that red wine may have special benefits. One reason may be that red wine contains polyphenols, substances that do good things to cholesterol in the blood and so may reduce the risk of heart attacks. In an experiment, healthy men were assigned at random to drink half a bottle of either red or white wine each day for two weeks. The level of polyphenols in their blood was measured before and after the two-week period. Here are the percent
changes in level for the subjects in both groups:
(a) A Fathom dotplot of the data is shown below. Use the graph to answer these questions:
(b) Construct and interpret a confidence interval for the difference in mean percent change in polyphenol levels for the red wine and white wine treatments.
(c) Does the interval in part (b) suggest that red wine is more effective than white wine? Explain.
A sample survey interviews SRSs offemale college students and male college students. Each student is asked whether he or she worked for pay last summer. In all, of the women and of the men say 鈥淵es.鈥� The confidence interval for the difference in the proportions of college men and women who worked last summer is about
(a)
(b)
(c)
(d)
(e)
Binge drinking Who is more likely to binge drink鈥� male or female college students? The Harvard School of Public Health surveys random samples of male and female undergraduates at four-year colleges and universities about whether they have engaged in binge drinking.
(a) Is this a problem with comparing means or comparing proportions? Explain.
(b) What type of study design is being used to produce data?
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