Practice Exam 1 FAll 2014 KEY

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1)
Z=(150.2-143)/{ sqrt(64)/ sqrt(4) } = 1.8
2) .5+4k+2k+k+k/2=1
K= 1/15
1
 20  3 4 1 5 
20
20  3 1  11
3x 3  x 4 dx  
3) 
 x  x  
  
0 243
5  0 243  4 5  243
 243  4
1


4)
56  57  60  82  70
 65
5
56  652  57  652  60  652  82  652  70  652
5 1
5)
Z
1004  1000
 2.35
1.7
P=.9906
6) 1.75=(x-6)/1.4
X=8.45
7) It doesn’t make sense to create a mean for categorical data
8) Z=(10-4.8)/.6=8.67
P=0
9) We don’t know unless we know it’s normal
10)
Z1=(334-350)/(120/sqrt(100) ) = -1.33 p=0.0918
Z2=(376-350)/(120/sqrt(100) ) = 2.17 p=0.9850
P=.9850-.0918=0.8932
11) Note this is only the probability for one coil
Z=(122-110)/5=2.4
P=1-0.9918=0.0082
 11
12) (1 minute)
In a zombie apocalypse, what would be the role of a statistician?
To find a probability
12 - Of survival (for himself or for others)
2 – of killing a zombie
Of outrunning a zombie
That he would be the first person eaten
5 mentioned their probability was certain (either 0 or 1)
To find the distribution
6 – of the zombies (population size, speed, attacks, growth)
Of the ammo location
Of the ammo amount
Of time to turn into a zombie after a bite
He would find the probability of a zombie attack beforehand and already be in a safe place
He would be the source of the zombie apocolypse
Find which bridges would collapse from having too many zombies on it
Convince people to not use a shotgun since the standard deviation is too high
2 said on the front line
Doing a survey on resource allocation
2 people said keeping other people happy by using statistics
To assure everyone that no matter how small the chance there is still a chance
To determine whether they are really zombies or just high on bath salts
Using their magic to defeat the zombies
Kill zombies with his calculator
The statistician’s role would be
3 – bait
2 – Die
3 – Run away screaming
Hiding desperately
Lunch
Try not to die
As a zombie
To rip open his shirt with his bare hands exposing chiseled pecks and become the hero
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