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A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 40 subscribers to Plan A is $57,000 with a standard deviation of $9,200. This distribution is positively skewed; the actual coefficient of skewness is 2.11. For a sample of 30 subscribers to Plan B the mean income is $61,000 with a standard deviation of $7,100. The distribution of Plan B subscribers is also positively skewed, but not as severely. The coefficient of skewness is 1.54. At the .05 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? What is the p-value? Do the coefficients of skewness affect the results of the hypothesis test? Why?
A member of Congress wants to determine her popularity in a certain part of the state. She indicates that the proportion of voters who will vote for her must be estimated within plus or minus 2 percent of the population proportion.
Consider a charity organizations that receives random donations. Assume the donations to arrive following a Poisson process with a rate of one donation per hour in average. What is the probability that it will not be able to make the payment?
The Rio-River Railroad, headquartered in Santa Fe, New Mexico, is trying to devise a method for allocating fuel costs to individual railroad cars on a particular route between Denver and Santa Fe.
Ppaid full salary for the current year. a. Determine how to minimize the bus company's salary, hiring, and firing costs over the next 5 years.
The mean return for a random sample of 33 mutual funds is 14.93 percent with a standard deviation of 9.57. Build a 95 percent confidence interval for mu, population mean.
The following data lists the number of hours spent working during the previous week. From these data round the relative frequencies to three decimal places.
A random variable X that has pmf given by p(x) = 1/ (n+1) over the range Rx = {0,1,2,...,n} is said to have a discrete uniform distribution. Find the mean and variance of this distribution.
If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1000 people from the same population found that 550 were pro-life (i.e., 55%), which would you find more significant? Why?
A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test.
A number of years ago, there was a popular television game show called Let's Make a Deal. The host Monty Hall, would randomly select contestants from the audience and, as the title suggests
The chance of selling any one property is independent of selling another property. Compute the probability of selling at least 4 properties in one week.
Among 620 adults selected randomly from among the residents of one town, 18.9% said that they favor stronger gun-control laws.
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