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The random variable X has PDF f(x) = 2xe-x^2 , where x > 0.
a) Draw a random sample of size 1000 from this distribution.
b) Draw a histogram of the 1000 sampled values and obtain the sample mean and SD.
c) Using the sample obtained, draw a histogram and calculate mean and variance for 1000 sampled values for random variable Y = X2.
Using the results, describe the effect of an outlier or extreme value on the confidence interval.
For which of given variables must a "two tail" t-test be applied?
A bond analyst is analyzing interest rates for corresponding municipal bonds issued by two different states. At α = .05, is there a difference in interest rates paid by two states?
Question: If the regression line is drawn as Y = C + 1075x, when X was 2 and y was 239, given that the intercept was 11. Calculate the residual
A random sample of 24 groups of adults has a mean daily lodging cost of $233 and a standard deviation of $12.50. Is there enough evidence to reject the claim at α= 0.10? Assume the population is normally distributed.
Suppose that you have a bag filled with 50 marbles, 15 of which are green. What is the probability of choosing exactly 3 green marbles if a total of 10 marbles are selected?
Test the hypothesis that there is no difference in the mean scores of Exam 1 and Exam 2 against the alternative that the average is greater for the second exam.
A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite. The geologist instructs a laboratory assistant to randomly select 15 of the specimens for analysis.
If you have n independent flips of a coin with probability p of landing heads. And a changeover occurs whenever an outcome differs from the one preceding it.
Make a point estimate and a 95% confidence interval estimate.
The following data represent scores of 50 students in the applied business statistics test. Prepare the frequency distribution table and the frequency histogram for this data set.
Construct a 95% confidence interval for the population mean.
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