# BUA Fundamental Statistic Question

Due: December 28, 2021 by 3 pm
Question:
Let ππ be the median home value in Vermont at year π. 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 letβs pretend we do not know π.
1)
(10 points) Take 200 samples of size 50 (without replacement) from the population
of πβs
2)
(10 points) Using the appropriate procedure, calculate a 95% confidence interval
for π for all of the 200 samples individually.
3)
(10 points) How many of these 200 confidence intervals include the true mean π =
\$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:
π»0 : π = \$418,250 vs π»0 : π β  \$418,250

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