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A survey claims that 9 out of 10 doctors recommend brand Z for their patients. To test this claim against the alternative that the actual proportion of doctors is less than 90%, a random sample of 100 doctors resulted in 85 who recommended brand Z. The test statistic is approximately?
Without using formulas, explain the meaning of (a) expected value of a random variable; (b) actuarial fairness; and (c) variance of a random variable.
If the pilot plant fails, Rob feels the chance of the full-scale facility succeeding is only 20%. The probability that the pilot plant will succeed is estimated at 0.6. Structure this problem with a decision tree and advise Rob what to do.
Test the hypothesis that no difference exists between the groups at α = .05 and perform and report all related tests and statistics.
Critically discuss why the dowload is a continous numerical varaible and critically discuss why the download time is a ratio scaled variable.
Using classical methods discussed in class, try to estimate the probability of winning.
At the 5% significance level, can the station conclude that the mean age of its listeners is not 25 yrs. Formulate and test the appropriate hypotheses. Use the critical value approach.
Using this test 80% of Down's syndrome cases can be identified at birth, while 5% of normals are detected as positive. a. What is the sensitivity and specificity of the test?
Probability about 0.2 of suggesting that the person is deceptive. What is the probability that the number classified as deceptive is less than the mean?
Two components of reliability 0.95 are in parallel and this subsystem is connected in series to a component with a reliability of 0.90. Calculate the overall reliability of this system.
An industrial engineer at Lyons Products would like to determine whether there are more units produced on the afternoon shift than on the morning shift.
How long would it take to estimate the % of entries having errors using a random sample big enough to get a margin of error less than 2%?
A report states that 46% of home owners have a vegetable garden. How large a sampl.e is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 95% confidence?
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