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In a telephone survey of some 700 people, 45 percent responded positively to liking cats. Calculate a confidence interval, at the 95 percent level, that will reveal the interval estimate for the proportion of people who like cats within a target population of 60,000 people. How would you interpret the results?
Find the maximum total allowable weight if we want a 0.975 probability that this maximum will not be exceeded when 16 males are randomly selected.
A sample of 400 tickets has 72% 1's. What percentage of the entire box do you expect to be 1's? What is the standard error of your estimate?
Suppose that the null hypothesis is rejected and alternate hypothesis is accepted. Discuss the conclusion as a Type I error, a Type II error, or a correct decision, if in fact the defendant is innocent.
Pollsters try to determine whether or not a person is a "likely voter" before they count their opinion in a poll. If we assume 40% of the registered voters will actually vote, in a random sample of 100 registered voters we can be 95% confident tha..
Draw the graph of the regression line on the same plot as the scatter diagram above.
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered.
If a manufacturer charges 'p' dollars each for shirts, then he expects to sell 2000-100p shirts per week. What polynomial represents the total revenue expected for a week?
Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
What is the characteristic function of N? What is the mean and variance of N? What is the pmf of N? What is the probability that N is an even number?
The scores of the GRE exam are transformed so they have a mean of 500 and standard deviation of 100. The scores are known to be normally distributed. What is the percentage of students that score below 750?
If you have n independent flips of a coin with probability p of landing heads. And a changeover occurs whenever an outcome differs from the one preceding it.
The quality control director for a clothing manufacturer wants to study the effect of operators and machines on the breaking strength (in pounds) of wool serge material. Is there an interaction between operator and machine?
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