Probability and Statistics Final Exam Review
1. If your outcomes are 17-23 in a random game of Black Jack, what is the level of measurement?
Nominal, Ordinal, Interval, or Ratio?
2. Is this an experiment or observational study?
3. Conduct a 10 number simulation using Randi on your calculator
Randi (17, 23) = _____, _____, _____, _____, _____, _____, _____, _____, _____, _____
4. Record your results in the table below and Construct a frequency histogram
Intervals Boundaries Midpoint Tallies Frequency
16-17
18-19
20-21
22-23
5. Construct a stem and leaf plot
with a key
6. STATS: n = _____ ∑x = _____
Q1 or LQ = _____
LF = _____
Q3 or UQ= _____
UF = _____
s = _____ s = _____
x̄ = _____
Q2 or median = _____ mode(s) = _____
IQR = _____ Fence (F) = _____
Outlier(s) = ________ min= _____
max = _____ range = _____
CV = _____% (whole)
7. If the population mean  = 20, should the randi black jack player be concerned that they will get less than 20?
 = 20
H0 :
x̄ =
H1 :
Left Tail, Right Tail, or Two Tailed?
Test statistic t = x̄ – 
s / √n
or
n=
Standard normal z or student t?
Convert t to p
<p<
p<
Sketch and shade
reject H0
s=

fail to reject H0
Conclusion in context of the problem:
or
p>
data is significant at  or insufficient evidence
8. Copy your Randi Results from page 1:
Randi (17, 23) = _____, _____, _____, _____, _____, _____, _____, _____, _____, _____
9. If the outcomes are win or loss, what is the level of measurement?
Nominal, Ordinal, Interval, or Ratio?
10. Record your results from above if 19, 20, 21 is a win and 17, 22, 23 is a loss and 18 is a push (tie)
Outcome
Tallies
Frequency
Relative Frequency
Wins
Losses
DON’T RECORD 18’s…only wins and losses!
11. Are the events in this problem independent or dependent?
12. How many ways can you arrange the letters in the word “BLACK”?
13. How many ways can you arrange the letters in the word “JACK”?
14. How many ways can you pick 2 cards from 4 if order is important?
15. How many ways can you pick 2 cards from 4 if order is not important?
16. Does your data indicate that you should have won more than 0.5?
n = wins + losses =
r=
p=
H0 : p =
q=
(# of wins)
then
H1 :
p^ = r/n =

Left Tail, Right Tail, or Two Tailed?
Standard normal z or student t?
Test statistic z = p^ - p
√(pq/n)
Convert z to p
p=
Sketch and shade
p<
or
reject H0
p>
or
fail to reject H0
Conclusion in context of the problem:
data is significant at  or insufficient evidence