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Chapter 8: Q.3 (page 481)
Going to the prom Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of of the seniors in her school and finds that plan to go to the prom
The sample proportion is.
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Gambling and the NCAA Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student-athletes concerning their gambling-related behaviors.Of the Division I male athletes in the survey, reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a % margin of error.
(a) The confidence level was not stated in the report. Use what you have learned to find the confidence level, assuming that the NCAA took an SRS.
(b) The study was designed to protect the anonymity of the student-athletes who responded. As a result, it was not possible to calculate the number of students who were asked to respond but did not. How does this fact affect the way that you interpret the results?
Construct a confidence interval for Show your method
Price cuts (4.2) Stores advertise price reductions to attract customers. What type of price cut is most attractive? Experiments with more than one factor allow insight into interactions between the factors. A study of the attractiveness of advertised price discounts had two factors: percent of all foods on sale and whether the discount was stated precisely (as in, for example, off”) or as a range (as in “to off”). Subjects rated the attractiveness of the sale on a scale of 1 to 7. (a) Describe a completely randomized design using student subjects. (b) Explain how you would use the partial table of random digits below to assign subjects to treatment groups. Then use your method to select the first subjects for one of the treatment groups. Show your work clearly on your paper.
(c) The figure below shows the mean ratings for the eight treatments formed from the two factors. Based on these results, write a careful description of how percent on sale and precise discount versus range of discounts influence the attractiveness of a sale.
62. Blink When two lights close together blink alternately, we “see” one light moving back and forth if the time between blinks is short. What is the
longest interval of time between blinks that preserves the illusion of motion? Ask subjects to turn a knob that slows the blinking until they “see” two lights rather than one light moving. A report gives the results in the form “mean plus or minus the standard error of the mean.” Data for subjects are summarized as (in milliseconds).
(a) Find the sample standard deviation for these measurements. Show your work.
(b) Explain why the interval is not a confidence interval.
High tuition costs Glenn wonders what proportion of the students at his school think that tuition is too high. He interviews an SRS of of the students at his college. Thirty-eight of those interviewed think tuition is too high.
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