R-STUDIO

Question 2 (40 points): Confidence Interval Let Y still be the median home value in New England town &. Let the generated Y below to be the entire population data on median value of NEW England homes, where u = $329, 108 and o = $50, 000. set . seed (12) Y=rnorm(1000, mean=329108, sd=50000) For steps 1 and 2 to let's present we do not know u. a. (5 points) Take 100 samples of size 30 (without replacement) from the population of Y's b. (10 points) Calculate a 95% confidence interval for / for all of the 100 samples. c. (10 points) How many of these samples include the true mean u =? d. (15 points) Repeat steps b and c for 90% confidence intervals