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Chapter 7: Q. 5 (page 462)
Suppose we roll a fair die four times. The probability that a occurs on exactly one of the rolls is
(a)
(b)
(c)
(d)
(e)
The probability that a occurs on exactly one of the rolls is option (c) .
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The number of unbroken charcoal briquets in a twenty-pound bag filled at the factory follows a Normal distribution with a mean ofbriquets and a standard deviation of briquets. The company expects that a certain number of the bags will be underfilled, so the company will replace for free the 5% of bags that have too few briquets. What is the minimum number of unbroken briquets the bag would have to contain for the company to avoid having to replace the bag for free?
(a)
(b)
(c)
(d)
(e)
Do you go to church? What sample size would be required to reduce the standard deviation of the sampling distribution to one-third the value you found in Exercise 36 (b)? Justify your answer.
The Harvard College Alcohol Study finds that of college students support efforts to "crack down on underage drinking." The study took a random sample of almost students, so the population proportion who support a crackdown is close to The administration of a local college surveys an SRS of students and finds that support a crackdown on underage drinking.
(a) Suppose that the proportion of all students attending this college who support a crackdown is , the same as the national proportion. What is the probability that the proportion in an SRS of students is as small as or smaller than the result of the administration鈥檚 sample? Follow the four-step process.
(b) A writer in the college鈥檚 student paper says that 鈥渟upport for a crackdown is lower at our school than nationally.鈥� Write a short letter to the editor explaining why the survey does not support this conclusion
How many people are in a car? A study of rush-hour traf铿乧 in San Francisco counts the number of people in each car entering a freeway at a suburban interchange. Suppose that this count has a mean of . and a standard deviation of in the population of all cars that enter this interchange during rush hours.
(a) Could the exact distribution of the count be Normal? Why or why not?
(b) Traf铿乧 engineers estimate that the capacity of the interchange is cars per hour. Find the probability that cars will carry more than people. Show your work. (Hint: Restate this event in terms of the mean number of people x per car.)
T7.11. Below are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram
Which statistic would provide the best estimate of the parameter? Justify your answer
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