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A box contains 3 red balls, 4 white balls, and 3 green balls, 2 balls a taken without replacement. What is the probability that they are the same color?
Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities.
Let m denote a natural number. Use any properties of the natural numbers to argue that m x m is not equal to m + m.
Perform an exponential smoothing forecast with α=0.3 with the following data. Use the demand for the month of January for the initial forecast.
ACT scores of high school seniors. The scores of high school seniors on the ACT college entrance examination in 2003 had mean JL = 20.80 and standard deviation (J = 4.80. The distribution of scores is only roughly Normal.
If the names of these 100 people in the building are still unknown but a room is allowed to lodge one tenant at most , then are there how many ways of room occupation?
Class of 22 obtains a mean of 92 and a standard deviation of 4. Is he correct in assuming that the performance of the most recent class is significantly better than that of other classes?
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.
The data below show the average daily high temperature for Chicago, Illinois, for twelve recent spring and summer months. Create a stem-and -leaf diagram for the data.
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
Suppose the graduate exam is normally distributed with a mean of 500 and a standard deviation of 200. If a test taker is randomly selected, what is the probability he or she scores 750 or better?
The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375 hours. The population standard deviation is 100 hours.
Create a 90% confidence interval for the true average number of unoccupied seats per flight. interpret this interval in the context of the problem.
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