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1. Which are likely to be independent events? For those you think are not, suggest reasons why.
(a) Gender of two consecutive babies born in a hospital.
(b) Car accident rates and the driver's gender.
(c) Phone call arrival rates at a university admissions office and time of day.
2. Fifty-six percent of American adults eat at a table-service restaurant at least once a week. Suppose that four American adults are asked if they ate at table-service restaurants last week. What is the probability that all of them say yes?
The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Assume the batch contains 1% defective syringes.
A bank official reported the results of a regression analysis designed to predict the bank's charges (y), measured in dollars per month, for services rendered to local companies.
Determine marginal probability distributions of X and Y . Compute conditional probability P ( Y = 2 | X = 1)
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
If alternate hypothesis mention that m doesn't equal 4,000, determine the rejection region for the hypothesis test?
The null hypothesis is that there was no change in average liquor consumption. State this formally in terms of µ.
Interpret coefficient on log (salesm). If salesm were to be increased by 20%, what would be estimated change in mktgp? Would this effect be substantive?
Would the method described above be a good way to determine which team was taller (explain why or why not)?
Verify value of t for the independent Variable, using formula. (That is, using formula in the Formula Sheet compute the t statistic , given data provided in the print out).
A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 100 greeting cards indicates a mean value of $2.55 and a standard deviation of $0.44.
Determine the dependent variable(s)? Determine the value of the statistic? Write down the name of one variable not mentioned in this study that one might wish to control for.
Looking at the data, the manufacturer is incorrect in its label claim. Perform hypothesis testing to prove or disprove it. Is the manufacturer correct in its label claim? Explain.
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