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The random variables X and Y each take values -1 and 1, and p(X=1)=a, P(Y=1)=b. Suppose Z=XY and that X, Y and Z are pairwise independent. What are the values of a and b? are {X,Y,Z} independent?
Give a point estimate for the difference between the proportion of college-aged women and the proportion of college-aged men who are registered to vote.
A restaurant has three sources of revenue: eat-in orders, takeout orders, and the bar. What are the mean and standard deviation of the total revenue on a particular day?
Testing indicates that the lifetimes of a shipment of disposable butane lighters are normally distributed with a mean of 1000 lights and a standard deviation of 100. What percentage of these lighters will:
Suppose the federal government proposes to give a substantial tax break to automakers producing midsize cars that get a mean mileage exceeding 31 mpg.
Describe a hypothesis upon which the manufacturer might wish to conduct a test concerning the relative effectiveness of the new fertilizer.
How large a sample should she take to estimate the percentage with a margin of error of no more than 4%, with 90% confidence?
There is no significant difference in the mean household incomes between the two neighborhoods +0.05
Do you support Bob's claim that citizens in his area spend more than $75 per year? Explain why or why not. Find a 95% confidence interval for the true mean amount that citizens spend per year.
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
Conclude whether the given conditions justify using the methods of this section when testing a claim about a population mean µ.
Sample without replacement when testing batches of products. When sampling without replacement, should you use the multiplication rule for independent or dependent events.
The manufacture of the X-15 steel belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles.
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