Question: Using a for loop, simulate 10,000 simple random samples of size n = 35. for each sample, calculate the sample mean and 95% bound, then

Using a for loop, simulate 10,000 simple random samples of size n = 35. for each sample, calculate the sample mean and 95% bound, then determine the proportion of times that the population mean is within the 95% confidence interval (ybar - B, ybar + B). Do these bounds capture the true population mean about 95% of the time as claimed?

If the coverage probability is approximately 95%, explain why. if it is different from 95%, explain why (hint: examine sampling distribution of ybar)

R code for this problem:

Using a for loop, simulate 10,000 simple random samples of size n

(The last two lines print 0.9 and 0.91)

#data read into sp yspsy N

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