BUA Fundamental Statistic Question

Extra QuestionYour name
Due: December 28, 2021 by 3 pm
Question:
Let 𝑌𝑖 be the median home value in Vermont at year 𝑖. The following data gives you the
entire population data.
set.seed(11)
Y=rnorm(5000, mean=418250, sd=49230)
For steps 1 and 2 to let’s pretend we do not know 𝜇.
1)
(10 points) Take 200 samples of size 50 (without replacement) from the population
of 𝑌’s
2)
(10 points) Using the appropriate procedure, calculate a 95% confidence interval
for 𝜇 for all of the 200 samples individually.
3)
(10 points) How many of these 200 confidence intervals include the true mean 𝜇 =
$418,250?
d)
(20 points) For this question, choose your first sample and carry out, using R, not b y
hand, a t test to test the following hypothesis:
𝐻0 : 𝜇 = $418,250 vs 𝐻0 : 𝜇 ≠ $418,250