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Chapter 10: Q. AP3.10 (page 702)
Let X represent the outcome when a fair six-sided die is rolled. For this random variable, 渭X=and 蟽X=. If the die is rolled 100 times, what is the approximate probability that the sum is at least ?
a.
b.
c.
d.
e.
The probability is
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Shortly before the presidential election, a survey was taken by the school newspaper at a very large state university. Randomly selected students were asked, 鈥淲hom do you plan to vote for in the upcoming presidential election?鈥� Here is a two-way table of the responses by political persuasion for students:
Candidate of choice | Political persuasion | ||||
| Democrat | Republican | Independent | Total | ||
| Obama | |||||
| Romney | |||||
| Other | |||||
| Undecided | |||||
| Total | |||||
Which of the following statements about these data is true?
a. The percent of Republicans among the respondents is
b. The marginal relative frequencies for the variable choice of candidate are given by
Obama: ; Romney: ; Other: ; Undecided: .
c. About of Democrats reported that they planned to vote for Romney.
d. About of those who are undecided are Independents.
e. The distribution of political persuasion among those for whom Romney is the
candidate of choice is Democrat: ; Republican: ; Independent: .
Which inference method?
a. A city planner wants to determine if there is convincing evidence of a difference in the average number of cars passing through two different intersections. He randomly selects times between a.m. and p.m., and he and his assistant count the number of cars passing through each intersection during the -minute interval that begins at that time.
b. Are more than of Toyota owners generally satisfied with their vehicles? Let鈥檚 design a study to find out. We鈥檒l select a random sample of Toyota owners. Then we鈥檒l ask each individual in the sample, 鈥淲ould you say that you are generally satisfied with your Toyota vehicle?鈥�
c. Are male college students more likely to binge drink than 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.
d. A bank wants to know which of two incentive plans will most increase the use of its credit cards and by how much. It offers each incentive to a group of current credit card customers, determined at random, and compares the amount charged during the following months.
Drive-thru or go inside? Many people think it鈥檚 faster to order at the drive-thru than to order inside at fast-food restaurants. To find out, Patrick and William used a random number generator to selecttimes over a week period to visit a local Dunkin鈥� Donuts restaurant. At each of these times, one boy ordered an iced coffee at the drive-thru and the other ordered an iced coffee at the counter inside. A coin flip determined who went inside and who went to the drive-thru. The table shows the times, in seconds, that it took for each boy to receive his iced coffee after he placed the order.
Do these data provide convincing evidence at the level of a difference in the true mean service time inside and at the drive-thru for this Dunkin鈥� Donuts restaurant?
A large university is considering the establishment of a schoolwide recycling program. To gauge interest in the program by means of a questionnaire, the university takes separate random samples of undergraduate students, graduate students, faculty, and staff. This is an example of what type of sampling design?
a. Simple random sample
b. Stratified random sample
c. Convenience sample
d. Cluster sample
e. Randomized block design
Sports Illustrated planned to ask a random sample of Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥� Which of the following is the smallest number of athletes that must be interviewed to estimate the true proportion who believe performance-enhancing drugs are a problem within with confidence?
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