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Let X and Y be independent random variables with moment generating functions f(t) and g(t), respectively. Let Z=X+Y. Determine MZ(t), the moment generating function of Z, in terms of f(t) and g(t).
Use exponential smoothing with a smoothing constant = 0.4 to calculate smoothed values and forecast sales for May from the above data. Assume the forecast for the initial period (January) is 18. Sho
What is the forecast for July based on a three-month weighted moving average applied to the following past demand data and using the weights: 8, 6, and 4 (largest weight is for most recent data)? Sh
Of 1000 randomly selected cases of lung cancer, 823 resulted in death. Let p be the proportion of deaths among all lung cancer cases.
A poll found that 41% of male voters and 44%female voters support a particular candidate.Too test whether this candidate has equal levels of support between makes and female voters, the null hypothe
The sample size necessary for a 98% confidence interval within 0.02 for a proportion with NO prior population proportion estimate ____ samples
The mean weight of loads of rock is 43.0 tons with a standard deviation of 8.0 tons. If 9 loads are chosen at random for a weight check, find the probability that the mean weights of those loads is
The date from Survey Sampling of Fairfield Connecticut reported in American Demographics, show that 68% of the telephone-owning households in Sacramento have unlisted numbers. For a random sample of
Medical treatment will cure about 87% of all people who suffer from a certain eye disorder. Suppose a large medical clinic treats 57 people with this disorder. Let r be a random variable that repres
A researcher needs to conduct a suitable nonparametric test to compare two dependent variables. Which of the following should be used?
Compute the percentage of variance explained by the treatment effects . Treatments A B C D
Statistics - Degrees of Freedom independent two sample test? A independent two-sample test with n1=34 and n2=42 would have how many degrees of freedom for the critical value?
Using the same variables, perform a simple regression on EXCEL, and determine the regression equation. Identify the Correlation coefficient, and coefficient of determination from the Excel output. Int
The weekly mean income of a group of executives is $998 and the standard deviation of this group is $99. The distribution is normal. What percent of the executives have an income of $908 or less?
Let x and y be chosen at random from the interval [0; 1]. Which pairs of the following events are independent?
What is the distribution and parameters for F? What is the variance of number of students Joe will ask to fill his study group? What is the probability it takes him between 17 and 20 (inclusive) stude
The expected number of typographical errors on a page of a certain magazine is 0.2. Typographical errors occur randomly and independently.
What is the joint distribution of X and Y , the number of wins for Player 1 and 2 respectively? What is the probability of Player 2 winning more rounds than Player 1?
Define X in terms of the story and name the distribution and its parameters. What is the expected number of people in his sample that have eczema?
Suppose that the number of accidents occurring on a certain highway at a rate of 3 per day. Let A be the number of accidents on this highway today.
Suppose N has a binomial distribution with n trials and success rate p, while X has binomial distribution with N trials and success rate r. What is the unconditional probability P(X=0)?
Peace Health Hospital is interested in buying a robot that helps with valve repairs for cardiovascular surgery. In order for this purchase to be profitable, the facility must treat 90 patients per y
Consider a hypothesis test of difference of means for two independent populations x1 and x2. Suppose that both sample sizes are greater than 30 and that you know standard deviation 1 but not standar
On Thursday, June 13, 1996, then Arizona Governor Fife Symington was indicted on 23 counts of fraud and extortion. Just hours after the federal proseutors announced the indictment, several polls wer
The speed at which you can log into a website through a smartphone is an important quality charactersitc of that website. In a recent test, the mean time to log into the Hertz website through a smar