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The birthday problem. Suppose we pick three people at random. For each of the following questions, ignore the special case where someone might be born on February 29th, and assume that births are evenly distributed throughout the year.
(a) What is the probability that the first two people share a birthday?
(b) What is the probability that at least two people share a birthday?
Calculate for each graph in Figure 9.1 within what limits approximately you would expect 95% of sample means to lie.
Use the p-value approach and test to determine if the average yearly income of marketing managers in the East is significantly different from the West.
a. Specify the competing hypotheses to test whether the recent proportions differ from those cited in the study. b. Calculate the value of the test statistic.
Refer to the body fat example of Table 7.1. Employing least absolute residuals regression, me LAR estimates of the regression coefficients are
The chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes
The lives of many people are affected by a fear that prevents them from flying. The Marist Institute for Public Opinion conducted a poll of 1014 adults
Find the least-squares regression line - Find the least squares estimates of γ0 and β1.
The last four observations were Yn-3 = 105, Yn-2 = 102, Yn-1 = 103, and Yn=99. Forecast Yn+1 and Yn+2 using these data and estimates.
A researcher claims that 62% of voters favor gun control. State the null hypothesis and the alternative hypothesis in words.A researcher claims that 62% of voters favor gun control. Identify the null hypothesis H0 and the alternative hypothesis H1..
The designer of a garbage truck that lifts roll-out containers must estimate the mean weight the truck will lift at each collection point.
In an attempt to justify this claim, the representative will poll a randomly selected sample of dish owners. The probability that none of the dish owners in the sample subscribes to at least one premium movie channel.
The analyst asked for a sample of 100 from each program and then measured their proficiency. The results are as follows.
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