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1) The club professional at a difficult public course boasts that his course is so tough that the average golfer loses a dozen or more golf balls during a round of golf. A dubious golfer sets out to show that the pro is fibbing. He asks a random sample of 15 golfers who just completed their rounds to report the number of golf balls each lost. Assuming that the number of golf balls lost is normally distributed with a standard deviation of 3, can we infer at the 10% significance level that the average number of golf balls lost is less than 12?
1 14 8 15 17 10 12 6
14 21 15 9 11 4 4 8
2) A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed here. It is known that the population standard deviation is ? = 8.0. The instructor has recommended that students devote 3 hours per week for the duration of the 12-week semester, for a total of 36 hours. Test to determine whether there is evidence that the average student spent less than the recommended amount of time. Compute the p-value of the test.
31 40 26 30 36 38 29 40 38 30 35 38
3) Spam e-mail has become a serious and costly nuisance. An office manager believes that the average amount of time spent by office workers reading and deleting spam exceeds 25 minutes per day. To test this belief, he takes a random sample of 18 workers and measures the amount of time each spends reading and deleting spam. The results are listed here. If the population of times is normal with a standard deviation of 12 minutes, can the manager infer at the 1% significance level that he is correct?
35 48 29 44 17 21 32 28 34
23 13 9 11 30 42 37 43 48
In a survey about satisfaction with local phone service, those respondents who rated their current service as excellent and those who rated it Poor-Very Poor were asked to classify their current local service provider. The results are given in the..
What is the difference between the critical-value method and the p-value method of hypothesis testing? Include in your post how the question's topic pertains to your health discipline.
If hypothesis test for single population variance is to be conducted by using significance level of to 0.10, a sample size of n = 16, and test is a one-tailed upper-tail test, the critical value is?
This problem has to do with graphical plotting and computation for certain distribution. Please mention a detailed response to the questions listed with appropriate graphical and statistical data representation(s).
Verify that the fitted values have the same mean as the actual y-values, and that the residuals have mean zero and show that the variance of the fitted values plus the variance of the residuals adds up to the variance of y. Find the R-squared.
From her district, consisting of several hundred stores, she selects a random sample of 30 stores. For each store she gathered the following information.
Suppose that the mean amount wagered by all patrons is $287 with a standard deviation of $15. You should give free accomodations to those individuals who wager over how much money?
Fitting a straight line to a set of data yields the following prediction line: i=2+5xi
Shown below are rental and leasing revenue ?gures for of?ce machinery and equipment in the United States over a seven-year period according to the U.S. Census Bureau. Use these data to run a linear regression and then forecast the rental and leasi..
Can we conclude that there is a difference in number of citations written between the officers? Use the 0.05 level of significance.
Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
The following table gives the approximate age distribution in the United States from the 2000 census.
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