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Examine the data below showing the weights (in pounds) of randomly selected checked bags for an airline's flights on the same day. (a) At α = .05, is the mean weight of an (a) At α = .05, is the mean weight of an international bag greater? Show the hypotheses, decision rule, and test statistic. (b) At α = .05, is the variance greater for bags on an international flight? Show the hypotheses, decision rule, and test statistic.
Show that if Z1 and Z2 are independent standard normal random variables, then for all ρ (correlation), Z 1 and ρZ 1 +sqrt(1-ρ 2 )*Z 2 are standard normal with correlation ρ.
The statistics showed that students studied an average of 20 hours per week with a standard deviation of 10 hours. What is the probability that a sample mean would exceed 20 hours per week?
Using the 50%-34%-14% figures, approximately what percentage of people have a score a) above 40 b) above 45 c) above 30 d) below 45 g) below 30.
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean.
a) Explain why it would be hard to take a Simple Random Sample? b) Describe how to take a cluster sample of chocolate chip cookies.
What is the probability that no more than two of the three are commercial successes?
The average fill volume from a random sample of 49 bottles of an energy drink is 32.8 ounces; the standard deviation among the individual fill volumes is3.5 ounces. Determine a 95 percent confidence interval for the mean fill weight.
A researcher estimates an AR(1) model with an intercept and finds that the OLS estimate of Beta1 is 0.95, with a standard error of 0.002.
The annual returns, in percentages, on stocks A and B for three possible states of the economy are given in the table below.
Suppose that the grams of fat have a normal distribution and form 90%, 95%, and 99% confidence intervals for the mean grams of fat. Based on this data, can we say that the labeling on the package is misleading?
In previous tests, baseballs were dropped 24ft onto a concrete surface, and they bounced an average of 92.84% in. In a test of a sample of 40 new balls, the bounce had a mean of 92.67 in.
Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time.
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