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A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below:
0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130
(a) Construct a 95 percent confidence interval for the true mean.
(b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is.
In a test of a gender-selection method, 14 babies are born and 10 of them are girls. Find the number of different possible sequences of genders that are possible when 14 babies are born
Model Fitness. With any statistical model, we assess the fit: Does the model accurately depict the truth? Explain how one of the following helps assess the "fitness" of the mean.
How large a sample should be selected in order to estimate the population proportion to within a margin of error of 0.02 with 97% confidence. The sample proportion from the preliminary sample was 0.18.
Solve the mean and standard deviation equations
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11.
We want to test the hypothesis about fairness of spinning the coin. Evaluate the true proportion of heads. Use 95% confidence interval. Do not forget to check conditions first.
ABC Corporation of California publishes a variety of statistics, including the number of individuals who got a new job during the past 12 months and the mean length of time the individuals have been on the job.
During the past year, the mean sales of Wshington Reds in cases was 45,000 cases, and the standard deviaiton was 4,450. How many cases of Washington Reds should be brought to market? Assume the sales follow a normal distribution.
Find out z values for 29 and 34 hours. What percent of garages take between 32 hours and 34 hours to erect?
Suppose the horses in a large stable have a mean weight of 1464 lbs, and a standard deviation of 111. What is the probability that the mean weight of the sample horses would differ from the population mean by less than 11 lbs if 34 horses are samp..
They decide to sample some fast-food restaurants currently operating to estimate the monthly cost of electricity. They want to be 90% confident of their results and want the error of the interval estimate to be no more than $100.
A IRS auditor randomly selects 3 tax returns from 48 returns of which 9 contain errors. What is the probability that she selects none of those containing errors? Round to four decimal places.
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