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Accept on faith that the characteristic function of the Cauchy distribution with density fX (x) = 1/(?(1+x2)) for ?? < x < ? is C(s) = E(e^isX) = e^?|s|. Suppose that X and Y are independent, and each has the Cauchy distribution. Find the characteristic function of Z = (X + Y )/2. What does this imply about the distribution of the mean of two Cauchy random variables?
if a confidence interval for the difference between a pair of treatment means includes 0 then we fail to reject the
the mean and standard deviation of the lifetime of a battery in a portable computer are 3.5 and 1.0 hours
Tthen calculate the 95% and 99% CIs for the proportion of all female Hispanic drivers in Boston who wear seatbelts. Why is the 99% CI wider than the 95% CI?
Is sample of 25 papers large adequate to give a good estimate of mean score of all 42,000 students on this exam problem? Explain your answer.
For a candidate who guesses at all answers, find the mean and variance for the random variable X, the number of correct answers.
a. What is the probability that one randomly selected student scores above 1100 on the GRE? b. Describe the sampling distribution of the sample mean for the 16 students.
What is the estimated standard error of the sample mean? Construct a 95 percent confidence interval for the population mean category fluency test score.
The registrar of a college with a population of N=4,000 full-time students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus.
the wayne manufacturing company purchases a certain part from suppliers a b and c. suppler a supplies 65 of the parts b
a winery owner wants to determine if one type of her wine is significantly more popular than another. she records the
the state education department requires local school districts to keep these records on all students age race or
Schlepsi has contracted with AluminiCorp to produce special beverage cans for an upcoming promotion. They want 25% of the Schlepsi cans produced by AluminiCorp to be imprinted with the phrase 'A Winner is You!' along with a promotion code for the ..
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