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Chapter 9: Q. 16 (page 537)
A group of doctors is deciding whether or not to perform an operation. Suppose the null hypothesis, , is: the surgical procedure will go well. Which is the error with the greater consequence?
In this case, the error with the greater consequence is that the type II error.
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Driver error can be listed as the cause of approximately of all fatal auto accidents, according to the American Automobile Association. Thirty randomly selected fatal accidents are examined, and it is determined that were caused by driver error. Using is the AAA proportion accurate?
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. At a significance level of a = 0.05, what is the correct conclusion?
a. There is enough evidence to conclude that the mean number of hours is more than 4.75
b. There is enough evidence to conclude that the mean number of hours is more than 4.5
c. There is not enough evidence to conclude that the mean number of hours is more than 4.5
d. There is not enough evidence to conclude that the mean number of hours is more than 4.75
A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, , is: the sample contains E-coli. Which is the error with the greater consequence?
Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California鈥檚 percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California, was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data.
Use the following information to answer the next seven exercises: Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is years. A study was then done to see if the mean time has increased in the new century. A random sample of first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of years. Suppose that it is somehow known that the population standard deviation is Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Calculate the following:
a. _______
b. _______
c. _______
d._______
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