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Smith works on a temporary basis. The mean length of each job he gets is three months. If the amount of time he spends between jobs is exponentially distributed with mean 2, then at what rate does Mr. Smith get new jobs? 3. Each time a machine is repaired it remains up for an exponentially distributed time with rate . It then fails, and its failure is either of two types. If it is a type 1 failure, then the time to repair the machines is exponential with rate 1 ; if it is a type 2 failure, then the repair time is exponential with rate 2 . Each failure is , independently of the time it took the machines to fail, a type 1 failure with probability p and a type 2 failure with probability 1 P. What proportion of time is the machine down due to a type 1 failure? What proportion of time is the machine down due to a type 2 failure? What proportion of time is it up?
The best estimator or appreciative of the population proportion is 0.45. How large must the sample be?
In order to estimate the average time spent on the computer terminals per student at a local university, data were collected for a sample of 81 business students over a one week period.
Approximately 65% of all marketing personnel are extroverts, whereas about 50% of all computer programmers are introverts.
The mean, median, and mode are the most common measures of dispersion (spread).
By using the fact that Martha believes the treatment will decrease the amount of time to fall asleep, describe the null and alternate hypotheses.
The company will replace any printer that fails within 1 year after purchase. What percent of printers can be excpected to fail during the warranty period.
Mention your decision regarding the null hypothesis. If H 0 rejected can we conclude that treatment 2 and treatment 3 differ? Use 95 percent level of confidence.
Suppose that population variances from both conditions are equal is there evidence that treatment decreases surface hardness of steel plates?
Two hundred raffle tickets are sold. Your friend has 5 people in her family who each bought two raffle tickets. What is the probability that someone from her family will win the raffle?
Find out the z values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect? What percent of the garages take between 29 hours and 34 hours to erect?
Evaluate the significance of the hypothesis that the randomized algorithm has a lower average runtime than the known comparison algorithm. As before, explain and list your calculations, test choices, and conclusion drawn.
Determine a 95% confidence interval for the mean efficiency of a given batch of motors. If we want to cut the confidence interval by 1/3, how many motors should be tested?
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