For all these problems you need to clearly state H0, H1, give (alpha) (if not given), and clearly state your conclusion (in words!).

Height	Hand
64	Right
70	Left
63	Right
61	Right
69	Right
68	Right
68	Right
75	Right
71	Right

1) Use R for all parts of this problem. Use the data on heights you collected a few weeks ago.

(a) Do a t-test and test the following:

H0: = y for your recitation section vs.

H1: y

Use = .01

(if, for example, your y = 64.72, then you would do H0: = 64.72)

(c) now repeat but subtract 4.75 from your y (so you'd do H0: = 59.97 ( = 64.72 4.75))

(d) repeat (c) but use = .00000000001.

(You do not need to (and should not) set in R; make sure you understand why this is true!!) Don't ignore this!!

(e) what kind of error did you probably make in part (d)? (Just write out the answer for this question).

R instructions:

To test, for example, that = 64.72, you need to give R the value of :

t.test(height,mu = 64.72)

(assuming you named your variable "height"; of course, you may have to do data$height or something similar depending on how you have your data in R).

Since R gives you p-values ( = probabilities) you don't need to calculate or use t* (although R automatically prints this if you want to use it).