FINAL EXAM REVIEW

1
FINAL EXAM REVIEW

• Last Class Week 15

2
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.
• Mean
• Median
• Mode
• Range
• Mid-range

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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.
• Standard Deviation
• 1st Quartile
• 3rd Quartile
• Create a Stem and Leaf Plot

4
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?

5
Pie Charts
(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?
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Probability

• Roll of a die 1,2,3,4,5,6
• (Ex 5) Find the following probabilities
• P(even)
• P(seven)
• P(gt4)
• P(prime)
• P(divisible by one)

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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)

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Probability Cont

• (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)

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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?

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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?

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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 ?

12
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?

13
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?

14
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?

15
This will be given to you
16
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?

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This problem cant 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?
• (thats a lotta relish!)

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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.

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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?

20
I dont 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 couldnt be. You
  obtain a random sample of 40 SAT scores from
  students. The mean for these 40 students is
  1000. Assuming a s 110, does the sample
  provide enough evidence that the mean score is
  different than the national average at a a 0.1
  level of significance?

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Scatter!
Hours Studying Grade
0 62
2 74
4 78
6 89
8 94

1. Find the correlation coefficient for the
   following data.
2. What would the grade be for someone who studied 5
   hours?

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What else can I study?

• The tests that you have been handed back.
• Previous PowerPoint presentations on lessons you
  didnt quite grasp.
• The book?.....if you really got some time on your
  hands.
• Try putting the book in your pillowcase, osmosis?
• Statistics for dummies?