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Question 1: The weight of bags "checked in" is normal, with a mean of 30 pounds and a standard deviation of 9 pounds.
a) What is the probability that a randomly selected bag will weigh more than 48 pounds?
b) What is the probability that the total weight of 4 bags will be more than 192 pounds?
c) Find the probability that a sample of 81 bags will average more than 32 pounds.
d) If a sample of 36 bags showed the mean to be 33 pounds, can you conclude that the average weight has changed? (use alpha = 0.05)
Question 2: Test the hypothesis that more than 60 percent of the U.S. senators (of a total 100 senators) favor the president's economic plan, if a sample of 40 showed that 22 favor the plan (use alpha = .05).
Formulate and solve a 0-1 integer linear program model that can be used to find the minimum number of locations necessary to provide coverage to all areas. Clearly indicate your linear program model.
A computer password consists of four characters. The characters can be one of the 26 letters of the alphabet. Each character may be used more than once.
What is the probability that the first card dealt is an ace of spade?
Describe a business-related situation in which you would expect there to be a strong relationship (correlation) between an independent and dependent variable.
The smallest defect in a computer chip will render the entire chip worthless. Therefore, tight quality control measures must be established to monitor the chips.
a) Specify the null and alternate hypotheses for testing that the population correlation is negative. b) Calculate the estimate of the population correlation coefficient between X and Y.
Find an unbiased estimator of mp(1 - p)/n. Find the optimal estimator using the Rao-Blackwell Theorem.
Use the study to estimate the risk of an air bag fatality on a child seated on the front passenger seat.
The issue of how much should be spent to solve particular U.S. social problems is a complex matter, and people have diverse and conflicting ideas on these issues.
In Colorado Springs the newspaper runs mug shots of wanted criminals. The 17% of those published are arrested through information provided to the police. If 200 are published, find the probability that less than 30 are arrested.
What is the probability that a randomly chosen employee is an Administrator if the employee has the opportunity of gaining promotion next year?
High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter.
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