A bored statistics student wants to determine if there is a relationship between the number of cigarettes smoked (X) and the number of beers drunk (Y) over the duration of a televised Buffalo Bills game. Below is the data:
X Y
2 3
3 1
6 5
4 4
5 2
Mx = 4 My = 3
In determining if there is a relationship between cigarette smoking and beer consumption, what is the obtained Pearson's product moment correlation coefficient (r)?
a. r = 0.05
b. r = 0.25
c. r = 0.50
d. r = 0.07

Need on this geometry question. explain how you did it.

Find the area of a parallelogram with base 15 yards and height 21 2/3

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.