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A company needs to downsize a department that has 30 people-12 women and 18 men. Ten people were laid off, and management says that the layoffs were done randomly. Of those laid off, 8 were women. A labor attorney is interested in the probability that 8 or more women would be laid off if the layoffs were actually done randomly. Compute the probability that 8 or more women would be laid off at random. Based on your answer, do you think that management really laid off these people randomly? Explain.
Compute the probability of receiving three calls in a 5-minute interval of time. Compute the probability of receiving exactly 10 calls in 15 minutes.
Explain the difference between multiple independent variables and multiple levels of independent variables. Which is better?
If the average tax payer who makes $140,000 per year owes the government $18,200 with a standard deviation of $1500, and the IRS receives a 1040 tax documents from a customer who earned $140,000 that claims he only owes $12,000, should the IRS sus..
Mr. Pickwick takes his umbrella. When rain is not forecast, he takes it with probability 1/3. Find: (a) the probability that Pickwick has no umbrella, given that it rains.
Assume the earnings from this investment project is a normal distribution. What is the probability that you will lose money or earn nothing from this project.
Find the percentage of area under a normal curve between the mean and the given number of standard deviations from the mean.
A store selling newspapers orders only x=4 of a certain newspaper because the manager does not get many calls for that publication. If the number of requests per day follows a Poisson distribution with mean 3.
Let S be a random variable (not necessarily positive). Prove using Markov's inequality that for every p>0 and for every constant q,
The number of senior citizens (65 and older) in the US in millions n years after 1990 can be estimated using the formula
Construct a 95% Confidence Interval of the population mean of minutes exercised per week.
In this problem set you will get some practice performing a linear regression analysis. If you use Statdisk or Excel to perform any portion of these analyses, please include the results, label them, and refer to them accordingly in your interpreta..
What would be a good example of a null and alternative hypotheses for a decision relevant in life? What Type I and Type II errors could occur with your decision-making process?
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