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To determine whether or not they have a certain desease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analized together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group. Assume the probability that a person has the desease is 0.05 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons (ρ-hat) is to be calculated. What is the mean of the sampling distribution of ρ-hat?
Find the probability that the mean aptitude test score for a randomly selected group of 150 8th graders is between 98 and 102.
Explain the conclusion that there were no statistically significant differences (p ≥ 0.05) between the benefits of behavioral therapy and psychoanalysis when treating an eating disorder.
Last year, there were 30,000 students at a university; their GPA had a mean of 2.9 and an SD of 0.6. This year, in a simple random sample of 100 students taken from this university, the GPAs have a mean of 2.95 and an SD of 0.55. Has the mean GPA ..
Assume the sample is taken from a normally distributed population. Construct 98% confidence intervals for (a) the population variance o2 and (b) the population standard deviation.
Community policing strategies have been useful in some jurisdictions to reduce crime. As Police Captain, you wish to run an experiment to see whether it will work in your city.
A large retail corporation plans to sample sales receipts of its meat department to estimate the average size (in dollars) of a customer purchase. Previous analysis suggest that the standard deviation of the purchase amount is approximately $50.72..
For a study that consists of personal interviews with participants (rather than mail or phone surveys), explain why simple random sampling might be less practical than some other sampling methods.
If the class does well on an exam, then the next exam is equally likely to be any of the three types. If the class does badly, then the next exam is always type 1. What proportion of exams are type 1, 2, and 3?
What is the weighted mean profit per delivery - a bottling company offers three kinds of delivery service - instant, same day and within 5 days.
Most businesses use some form of linear regression in forecasting future conditions. Give an example of the use of regression analysis at your organization. What were the independent and dependent variables?
How large a sample must one take to be 90% confident that the estimate is within 0.05 of the true proportion of women over 55 who are widows?
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