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Over the course of a year, the manager of Motel St-Jacques, located in Brossard, Quebec, has noticed that on average, 170 rooms will be rented out every night, with a standard deviation of 10 rooms. If it is assumed that the probability distribution for the number of room rentals forms a normal distribution, what is the probability that on a given night:
a) Less than 155 rooms are rented.b) More than 190 rooms are rented.c) More than 164 rooms are rented.d) Between 162 and 188 rooms are rented.
A sample of 25 MBA students taking OTM course in the Spring of 2013 shows an average income of $85,000 with the sample standard deviation of $5,000. Find the 95% confidence interval of the population mean income of MBA students.
Election officials take a random sample of 100 signatures and thoroughly investigate them to find that 84% are valid. Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
An automobile assembly line operation has a scheduled mean completion time of 2.2 minutes. Because of the effect of completion time on both preceding and subsequent assembly operations, it is important to maintain the 2.2 minute mean completion ti..
The number of degrees of freedom associated with the t test, when the data are gathered from a matched pairs experiment with 13 pairs, is:
If a complete failure occurs, calculate the probability that the fault occurred in:
Explain why the ordinary least squares solution is not unique. What can you say about the residuals of any of the solutions. Using the SVD of X, write a closed form expression for this limiting solution.
Show the decision rule graphically. Use the .05 significance level.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 175 and a standard deviation of 15. If an applicant is randomly selected, find the probability of a rating that is between 150 and 200.
If Stephenson wishes to maximize its total market value, would you recommend that it issue debt or equity to finance the land purchase? Explain.
The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code.
Suppose an unrelated 77-year old man, 76 - year old woman, and 82- year old woman are selected from a community. What is the probability that all three of these individuals have Alzheimer's disease?
Assume the cholesterol levels of adult American women are normally distributed with a mean of 190 mg/dL and a standard deviation of 26 mg/dL. What level would represent the 10th percentile?
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