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A machine is set to pump cleanser into a process at the rate of 8 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 7.5 to 10.5 gallons per minute. Find the probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute.
A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices.
What characteristic (or property of random samples) could be observed during the sampling process?
The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age.
Draw a tree diagram depicting the sample space outcomes for this experiment.
This requires you evaluate the data (on the next sheet) and apply Queueing Theory to determine the characteristics of the queues. Please refer to the concept on Queuing Theory for the procedures to do.
In a clinical study of an allergy drug, 108 of the 203 subjects reported experiencing significant relief from their symptoms. Using a significance level of .01, test the claim that more than half of all those using the drug experienced relief.
Is there a significant difference in the average prices for these two different supermarket chains? Test at α = 0.05
Fred received the following scores for his gymnastics routine: 8.5, 7.8, 8.0, 6.8, 7.1, 7.6. To figure out his score, the judges drop the highest and lowest score and then average the rest of his scores.
Describe the unique fundamentals of a qualtitative research study, addressing the following:
Suppose that X1,..,Xn form a random sample from the normal distribution with unknown mean M and unknown standard deviation S, and let m and s denote the MLEs of M and S. for the sample size n=17, find a value of k such that P(m > M +ks) = 0.95
Testing for Population mean - Based on this sample evidence, is Joan's supervisor correct? Use a = .05.
Formulate this statement as a multiple regression model (form only, without parameter estimation).
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