a. Generate a random variable with 1000 observations using the normal distribution, X~N(50,100)
in R.
b. What is the mean and standard deviation?
c. Presume that what you generated in a. and b. is a population distribution. Now take 10.000
samples with 100 observations in R.
d. Draw a histogram of the sampling distribution and check whether your conjecture is correct.
e) What is the mean of that distribution and what is the standard error?
Q2)
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Repeat the same a-e in question 1 but now generate a random variable with n=1000 using the Poisson distribution with ΞΌ=1
a. Using the normal distribution, create a random variable with 1000 observations, XN (50,100)
What are the mean and standard deviation in R?
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c. Assume that the population distribution you generated in steps a. and b. is correct. Now multiply that by 10,000.
In R, samples with 100 observations were created.
d. Create a histogram of the sampling distribution to see if your hypothesis is right.
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e) What is the mean and standard deviation of that distribution?
Q2)
Rep question 1 with the same a-e, but now create a random variable with n=1000 and a Poisson distribution with =1.
