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Chapter 8: Q.3.1 (page 511)
Define the parameter of interest.
Parameter of interest is the variable on which whole focal point of the scientist lies. Here, rate of healing wounds is being estimated by the biologists. In this way, one might say that the mean healing rate of wounds is the parameter of interest.
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The company鈥檚 customer satisfaction survey.
In the company鈥檚 prior-year survey, 80% of customers surveyed said they were 鈥渟atisfied鈥� or 鈥渧ery satisfied.鈥� Using this value as a guess for p藛, find the sample size needed for a margin of error of 3% at a 95% confidence level.
Watching TV (6.1, 7.3) Choose a young person (aged to ) at random and ask, 鈥淚n the past seven days, how many days did you watch television?鈥� Call the response for short. Here is the probability distribution for .
(a) What is the probability that ? Justify your answer.
(b) Calculate the mean of the random variable X. Interpret this value in context.
(c) Suppose that you asked randomly sele
cted young people (aged to ) to respond to the question and found that the mean of their responses was . Would this result surprise you? Justify your answer.
Use Table B to find the critical value t* that you would use for a confidence interval for a population mean M in each of the following situations. If possible, check your answer with technology.
(a) A 98% confidence interval based on observations.
(b) A confidence interval from an SRS of observations.
(c) A confidence interval from a sample of size.
Conditions Martin says that the relative importance of the three conditions for performing inference is, in order from most to least important, Independent, Normal, and Random. Write a brief note to Martin explaining why he is incorrect.
Alcohol abuse has been described by college presidents as the number one problem on campus, and it is an important cause of death in young adults. How common is it? A survey of 10,904 randomly selected U.S. college students collected information on drinking behavior and alcohol-related problems.9 The researchers defined 鈥渇requent binge drinking鈥� as having five or more drinks in row three or more times in the past two weeks. According to this definition, 2486 students were classified as frequent binge drinkers.
Interpret the interval in context. Putting It All Together
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