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Checkout scanners - Proportion problem. The Federal Trade Commission (FTC) conducted a study in 1998 of checkout scanners. The FTC inspected 1,669 scanners at retail stores and supermarkets by scann
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 25% in 10 years. What will be the population in 30 years?
Let X be uniform on [0,1] and Y be uniform on [-1,1]. Consider the random variable Z=X+Y. a. Using convolution, find and carefully plot fz(z) b. Plot Fz(z)
The internal auditing staff of a local manufacturing company performs a sample audit each quarter to estimate the proportion of accounts that are delinquent more than 90 days overdue
The yearly cost of dental claims for the employees of the local shoe manufacturing company is normally distributed with a mean of $105 and a standard deviation of $35. What is the yearly cost at whi
Is the average number of television watched per evening in Australia less than in Britain? (Null and Alternative Hypothesis required). Is a one or two sided hypothesis test required?
Write a null and alternative hypothesis for the following research question: Is the amount of time Australian children watch television per night less than 196 minutes? (Null and Alternative Hypoth
Twenty percent of the employees of a large company are female. Use the normal approximation of the binomial probabilities to answer the following questions. What is the probability that in a random
The length of time it takes for Gandolf's fireworks to explode after they are launched is presumed to be uniformly distributed. If the length of time it takes them to explode occurs over the interva
Give examples of two variables that are positively correlated and two that are negatively correlated. What statistical test is used to test the significance of the correlation coefficient?
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?