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Chapter 7: Q. 40 (page 441)
Harley-Davidson motorcycles make up of all the motorcycles registered in the United States. You plan to interview an SRS of motorcycle owners. How likely is your sample to contain or more who own Harleys? Follow the four-step process.
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Studious athletes A university is concerned about the academic standing of its intercollegiate athletes. A study committee chooses an SRS of 50 of the 316 athletes to interview in detail. Suppose that of the athletes have been told by coaches to neglect their studies on at least one occasion. What is the probability that at least 15 in the sample are among this group?
Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs insuch operations, the repair fails in , and both infection and failure occur together at the time. What is the probability that the operation is successful for someone who has an operation that is free from infection?
(a)
(b)
(c)
(d)
(e)
The candy machine Suppose a large candy machine has orange candies. Use Figure 7.13 (page 435) to help answer the following questions.
(a) Would you be surprised if a sample of 25 candies from the machine contained 8 orange candies (that's orange)? How about 5 orange candies ( orange)? Explain.
(b) Which is more surprising: getting a sample of 25 candies in which are orange or getting a sample of 50 candies in which are orange? Explain.
A sample of teens A study of the health of teenagers plans to measure the blood cholesterol levels of an SRS of - to -year-olds. The researchers will report the mean from their sample as an estimate of the mean cholesterol level M in this population.
(a) Explain to someone who knows no statistics what it means to say that is an unbiased estimator of .
(b) The sample result x is an unbiased estimator of the population mean no matter what size SRS the study chooses. Explain to someone who knows no statistics why a large random sample gives more trustworthy results than a small random sample.
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)
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