Transcript FINAL EXAM REVIEW

FINAL EXAM REVIEW
Last Class – Week 15
Measures of Central Tendency
(Ex 1) – Using the following set of data, Find each
of the following:
101, 98, 76, 82, 93, 88, 92, 84, 65, 78, 82, 91, 87, and 72.
(a)
(b)
(c)
(d)
(e)
Mean –
Median –
Mode –
Range –
Mid-range –
Measures of Central Tendency
(Ex 2) - Using the same set of data, Find each of
the following:
101, 98, 76, 82, 93, 88, 92, 84, 65, 78, 82, 91, 87, and 72.
(a) Standard Deviation –
(b) 1st Quartile –
(c) 3rd Quartile –
(d) Create a Stem and Leaf Plot:
New Average
(Ex 3) - For the first four Statistics tests, Paul has
an average of 78. What must he score on the
last test to bring his average up to exactly 80,
to get a B?
Pie Charts
Computers
13%
Field of Study
Undecided
10%
Accounting
20%
Math
8%
Liberal Arts
12%
Nursing
37%
(Ex 4) – The accompanying chart shows the percentage
of students in each major, in a particular class. If there
are 16 students in accounting, how many are in the
entire class?
Probability
• Roll of a die = {1,2,3,4,5,6}
(Ex 5) – Find the following probabilities:
P(even) =
P(seven) =
P(#>4) =
P(prime) =
P(divisible by one) =
Prob. - Multiple Events
Rolling two die - There will be 36 outcomes in
the sample space:
{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)}
Probability Con’t
(Ex 6) – Find the probability of the following events:
- Without replacement from a standard deck of 52 cards
P(one queen, one king) =
P(Two queens) =
P(Two hearts) =
P(nine or jack) =
P(Three aces) =
P(Two red cards) =
Different Outfits?
(Ex 7) - How many different outfits consisting of
a hat, a pair of pants, a shirt, and a tie can be
made from three hats, five ties, four pairs of
pants, and four shirts?
Permutations/Arrangements
(Ex 8) - How many different arrangements can
be made from letters in the word DONE?
(Ex 9) - How many different arrangements can
be made from letters in the word CLASS?
(Ex 10) - How many different arrangements can
be made from letters in the word COLLEGE?
Permutations:
(Ex 11a) - How many different 5 player
arrangements can be formed from a team of
15 volleyball players?
(Ex 11b) – How many ways can 15 runners finish
1st, 2nd, and 3rd ?
Combinations:
(Ex 12) - How many different groups of 3 people
can be formed choosing from 10 possible?
(Ex 13) – How many different possible ways can I
issue two prizes of $250 each, choosing from
12 people?
License Plates
(Ex 14) – How many different license plate
arrangements are possible if each must
consist of 3 numbers, followed by 3 letters?
(Ex 15) – How many different license plate
arrangements are possible if each must
consist of 3 different numbers, followed by N,
and two other letters?
Exactly, at least, at most:
(Ex 16) - The probability that Bob will score
above a 85 on a statistics test is 3/5. What is
the probability that he will score above a 85
on exactly three of the four tests?
(Ex 17) - The probability that Bob will score
above a 90 on a statistics test is 2/5. What is
the probability that he will score above a 90
on at least three of the four tests?
This will be given to you:
Gas is a rip off!
Ex (18) – This past week gas prices followed a
normal distribution curve and averaged $2.95
per gallon, with a standard deviation of 3
cents. What percentage of gas stations charge
between $ 2.91 and $ 2.99?
This problem can’t be for real:
Ex (19) - The amount of relish dispensed from a
machine at The Burger Emporium is normally
distributed with a mean of 2 ounces per squirt
and a standard deviation of 0.2 ounce. If the
machine is used 300 times, approximately
how many times will it be expected to
dispense 2.5 or more ounces of relish?
(that’s a lotta relish!)
Confidence Intervals:
• Make sure you have TABLE IV handy!
(Ex 20) - After sampling 50 students at NCCC,
John found a point estimate of an 16 minutes
drive time to college, with a standard
deviation of 3.6. Construct a 95% confidence
interval for this data.
Choose the appropriate sample size
(Ex 21) – Nick wants to do a study of the average
drive time to NCCC. He is comfortable with a
margin of error of +/- 3. If the standard
deviation is known to be 4.5 minutes, how
many people would need to be sampled to
receive a interval with a 90% level of
confidence?
I don’t believe it!
(Ex 22) – According to collegeboard.com, the mean
score in the United States on the the SAT is a 1050.
You believe that it couldn’t be. You obtain a
random sample of 40 SAT scores from students.
The mean for these 40 students is 1000. Assuming
a σ = 110, does the sample provide enough
evidence that the mean score is different than the
national average at a α = 0.1 level of significance?
Scatter!
Hours
Studying
Grade
0
62
2
74
4
78
6
89
8
94
(a)Find the correlation
coefficient for the
following data.
(b)What would the grade
be for someone who
studied 5 hours?
What else can I study?
- The tests that you have been handed back.
- Previous PowerPoint presentations on lessons
you didn’t quite grasp.
- The book?.....if you really got some time on
your hands.
- Try putting the book in your pillowcase,
osmosis?
- Statistics for dummies?