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1. Given a random variable X that has a t(ν) distribution, determine the value of x0 such that P (|X| x0) = 0.025 for (i) ν = 5; (ii) (i) ν = 25; (iii) ν = 50; (iv) ν = 100. Compare your results with the single value of x0 such that P (|X| x0) = 0.025 for a standard normal random variable X.
2. Plot on the same graph the pdfs for a Cauchy C(5, 4) random variable and for a Gaussian N (5, 4) random variable. Compute the probability P (X ≥ μ + 1.96σ) for each random variable, where, for the Gaussian random variable, μ and σ are the mean and standard deviation (positive square root of the variance) respectively; for the Cauchy distribution, μ and σ are, the location and scale parameters, respectively.
Compute the probability that debt for a randomly selected borrower with good credit is more than $18,000?
At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds? Determine the p-value.
the following information is collected from students upon exiting the campus bookstore during the first week of
in each of the following situations the sampling frame does not match the population resulting in undercoverage. give
What is a point estimate for the population mean µ?
With a single-sample t ratio, the null hypothesis states that:
x and y are independent random variables with common moment generating functionlet w x y and z y - x. determine the
A survey of licensed drivers inquired about running red lights. One question asked, "Of every ten motorists who run a red light, about how many do you think will be caught?"
the p-value for a two tail test of hypothesis is 0.014. what is the p-value for the corresponding one tail
Take your data and arrange it in the order you collected it. Count the total number of observations you have, and label this number N. Then create another set of data starting from one and increasing by one until you reach N.
Apopulation consists of individuals whose weights are uniformly distributed between 100 and 175 pounds. What is the probability level for this distribution?
direct computers holds a 16 share of the personal computer market. suppose a market researcher believes that direct
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