1) H
0
: µ ≤ 2
H a
: µ > 2
α = 0.05 z=2.1 (or so) p = 0.02 (or so)
Reject
Our data shows the average has increased
2) The area in each tail is 0.037
The probability of being above the lower tail is 0.963
I can’t get it right without a picture
3) -1.645=(xbar – 126)/(1.5/sqrt(33)) then xbar = 125.57
(125.57-125.3)/(1.5/sqrt(33)) = 1.04
Power = 0.8508
4)
5) H0 says it is safe. Ha says it is unsafe
Type I error is when it as safe and you get your boss in trouble for no good reason
Type II error is when it was unsafe and you allow it to have your name on it
Two answers:
(small α) α=0.01 Because I don’t want to expose a scandal unless I’m absolutely certain
(large α) α=0.10 Because I don’t want my name on a product unless I’m certain it’s safe
BAD ANSWER: small alpha so that the product is more likely to be safe (you can do anything you want to alpha, it won’t change the actual product)
6) Cannot do
7) H
0
: µ=1000g
H
A
: µ≠1000g
α=0.05 t
14
=(999.5-1000)/(1/sqrt(15)) = -1.94
0.05<p-value<0.10
Fail to Reject
We cannot show the average is off from 1000
8) 2.33+-1.684 1.645/sqrt(48) = (1.93, 2.72)
9) d.
Of all possible 95% confidence intervals 95% of them would capture the true mean
Superbad theme song
Thriller by Michael Jackson
My Heart Will Go On by Celine Deon
All I do is Win by some random rap artist
Ice Ice Baby by Vanilla Ice
Happy Birthday Song
Fresh Prince of Bel-Air
Don’t Stop Believin’ by Journey
Do It Again by the Repeaters
100 in a SS by Pop Evil
Stayin Alive
Ghostbusters
Call me Al by Paul Simon
Jeopardy theme song
Call me Maybe
Upbeat clown music (because it’s happy, not because this class is a joke)
Change the Bat-man song to Stat-man
Rock and Roll ain’t no Pollution by AC/DC
The Wall by Pink Floyd
Sad
Crazy Train
Can you feel the Love tonight from The Lion King
Only Chuck Norris can do stats
Lonely Island – Like a Boss (because I feel like a boss every time I walk into the room)
Anything by Chicago
The song from Annie “Tomorrow is only a day away!”
Pain – let me out
New Math
Final Countdown
I got the power (because we use a lot of power and motivation to do this test even when you’re sick)
7 + 7 because every time after class I feel like I need a drink
Here I go again on my own, going down the only road I’ve ever known
2 said Highway to Heck
2 said Party Rock Anthem
2 said Top Gun Danger Zone
2 said What is Statistics
3 said 500 Miles
3 said Close to mu
5 said Eye of the Tiger