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jobs arrive at a machine shop according to aPoisson distribution at the rate of R jobs per week. An automatic machine represents the bottleneck in the shop.it is estimated that a unit increase in the production rate of the machine wiil cost C1 per week.Delayed jobs normally results in lost business, which estimated to be C2 per job per week.Determine the optimum production rate?
An experimental study is designed to test the potency of a drug on 16 calves. Previous studies have shown that a 10-mg dose of the drug is lethal 7% of the time within the first 7 hours.
If the mean lifetime of this type of component is 100 hours and its standard deviation is 19 hours, how many of these component must be in stock so that the probability of the system is in continual operations for the next 2,000 hours is at least ..
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated.
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Suppose that an IQ test was given to a large group of persons, the scores are assumed to be from a normally distributed population, that mean = 100 and s (standard deviation) = 15.
Bbutton to determine whether the design of the control panel was contributing to the high rate of accidents in the plant. The resulting scores were as follows:
The average number of hours of sleep per night that a college freshman gets is 6.50 with a standard deviation of 1.80 hours. If 35 college freshmen are randomly chosen find the probability that they average at least seven hours of sleep per night.
Past data reveals that the graduation rate was 72% for the medical school at a university. If 10 medical students are randomly selected for that school. Find the probability that only 4 of them will graduate.
Cite an example of how you could/would apply a test of a hypothesis for a single population proportion, two tail test described in the lecture to real world situations?
Assume that ages at onset of this disease are normally distributed for each gender, do not assume the population variances are equal. What are the appropriate null and alternative hypotheses?
Using data on average school grade for first use. Use the t test to conduct a one-tailed test of the null hypothesis, assuming that the average grade is higher for males than for females
List all possible combinations of opinions that can be held by students A, B, and C. (Hint: There are eight possibilities.) Then give the probability of each of these outcomes. Note that they are not equally likely.
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