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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 280 trials with a professional touch therapist, correct responses to a question were obtained 1223 times. The P-value of 0.979 is obtained when testing the claim that p > 0.5 (the proportion of correct responses is greater than the proportion o..
Metal stamping machine is producing 10 defective parts per hour. Determine the probability that three or fewer defective parts will be output in a randomly chosen hour, by using the Poisson distribution?
A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria of hypertension. if 15 adults are assessed, what is the probabiliy that?
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
Illustrate what was the lowest score earned on the exam. Explain how many students scored within 3 standard deviations of the mean.
The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 82 pounds. A random sample of 150 newly manufactured cables has a mean breaking strength of 1950 pounds.
You are interested in investing, and are considering a portfolio comprised of the following two stocks. Their estimated returns under varying market conditions are provided:
For the past 20 years, the high temperature on April 15th has averaged (j = 62 degrees with a standard deviation of a = 8. Last year, the high temperature was 66 degrees.
What method is best suited for such a survey? Draw the sample using the random number table and bring out the rationale of the procedure.
CCI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process.
Use the least-squares method to compute the regression of coefficients b0 and b1.
Determine the probability that the project will be completed in 80 days or less.
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