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)Mean (b)Median

(c)Mode (d)Range (e)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 (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 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) = 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 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!) 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 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 = 110, does the sample provide enough evidence that the mean score is different than the national average at a = 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 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?