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Question: A skeptic gives the following argument to show that there must be a flaw in the central limit theorem: "We know that the sum of independent Poisson random variables follows a Poisson distribution with a parameter that is the sum of the parameters of the summands. In particular, if n independent Poisson random variables, each with parameter n-1, are summed, the sum has a Poisson distribution with parameter 1. The central limit theorem says that as n approaches infinity, the distribution of the sum tends to a normal distribution, but the Poisson with parameter 1 is not the normal." What do you think of this argument?
When planning the new baseball stadium for Washington DC, you are asked to find the break-even point for the number of luxury skyboxes built.
Perhaps you have a millionaire, someone making $30,000 and a lot of people spread out all over (and evenly) in between. How would this need to change for median to be a better measure?
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 telephone survey of students at your university, to estimate the total amount of money students spend on textbooks.
Why do a null and alternative hypothesis have to be mutually exclusive? When would you accept the null hypothesis? Can you give an example of this?
To test the null hypothesis that the mean waist size for males under 40 years equals 34 inches versus the hypothesis that the mean differs from 34, the following data were collected: 33, 33, 30, 34, 34, 40, 35, 35, 32, 38, 34, 32, 35, 32, 32, 34, 36,..
Construct a 95% confidence interval for the mean monthly rent of all advertised one-bedroom apartments. A 95% confidence interval for the mean monthly rent is?
Assuming that thedistribution has not changed from what it was in the past year, what is the probability that the mean blackness of the spots is less than 1.0?
Utilizing the chart parameters developed above to define the control charts for future candy bar production, Compute the appropriate plotting points from the data.
1.bias of a statistic refers toa.the difference between a statistic and the actual parameter.b.whether or not questions
in a study of 750 randomly selected medical malpractice suits it is found that 452 of them were dropped or dismissed.1.
Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate ..
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