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Extra Credit Due 10/21/09 Name__________________________________ 1. If all possible samples of a specific size have the same chance of being selected, what type of sampling technique is being used? (5pts) 2. Classify each as nominal-level, ordinal-level, interval-level, or ratio-level data. a) IQ of each student (6pts) 3. Identify which of these types of sampling is used: The Dutchess County Commissioner of Jurors obtains a list of 42,763 car owners and constructs a pool of jurors by selecting every 150th name on that list. (6pts) 4. Lipitor is a drug that is supposed to lower the cholesterol level. To test the effectiveness of the drug, 100 patients were randomly selected and 50 were randomly chosen to use Lipitor. The other 50 were given a placebo that contained no drug at all. Identify the treatment group and the control group. (6pts) 5. What are the four basic sampling techniques? (6pts) 6. A statistics teacher taught Introductory Statistics to a large lecture class of 200 students. She wanted to calculate the average of the first examination by selecting every eight student's test score and finding the average of these scores. What type of sampling technique is being employed? (6pts) Extra Credit Due 10/21/09 Name__________________________________ 7. Given the following sets of data, draw a stem and leaf plot. 22, 22, 24, 34, 31, 26, 35, 27, 49, 10, 45, 23, 16, 28, 18, 13, 10, 30, 31 (7 pts) 8. An automobile dealer wants to construct a pie graph to represent types of cars sold in July. He sold 72 cars; 16 of which were convertibles. The convertibles will represent how many degrees in the circle? (6pts) 9. What kind of relationship does the scatter plot show between x and y? (6pts) Extra Credit Due 10/21/09 Name__________________________________ 10. A local fundraiser wants to graphically display the contributions they have received over the past five years. Construct a time series graph for the following data. (7pts) Year Contributions 1996 $650 1997 $700 1998 $1400 1999 $1050 2000 $1200 11. The following information shows the colors of cars preferred by customers. Draw a pie graph and indicate how many degrees the color represents in a pie graph? (10 pts) Colors Number Red 40 Black 60 White 30 Green 20 Blue 50 Extra Credit Due 10/21/09 Name__________________________________ 12. Construct a Pareto graph for the following distribution Major Business Science Engineering Social Sciences Liberal Arts Education (10 pts) Percent of Students 49 13 41 80 26 30 13. Cost of Bad Roads The data show the estimated added cost per vehicle use due to bad roads. Construct a frequency distribution using 4 classes. (10 pts) 152 155 116 90 187 136 159 97 141 85 91 170 111 147 165 163 159 150 Limit Boundries f cf Range = H= Width = L= Extra Credit Due 10/21/09 Name__________________________________ 14. Construct a histogram, for the data in Exercise 13. (7 pts) 15. Construct an ogive by using relative frequencies for the data in Exercise 13 (7 pts) Extra Credit Due 10/21/09 Name__________________________________ 1. The number of incidents where policies were needed for a sample of ten schools in Allegheny County is 7, 37, 3, 8, 48, 11, 6. Assume the data represents samples. Find the variance. (5pts) 2. The data shows the number of murders in 25 cities. Find the Standard Deviation. (7pts) Extra Credit Due 10/21/09 Name__________________________________ 3. The mean of a distribution is 20 and the standard deviation is 2. At least what percentage of the values will fall between 10 & 30? Use Chebyshev’s theorem. (5pts) 4. Find the weighted mean for three exams if the first one was worth 75 points and the student received a score of 60%, the second was worth 50 points and the student received a score of 80% and the third was worth 20 points and the student received a score of 95%? (7pts) 5. If the mean of a set of data is 22, and 10 has a z-score of –1.30, then the standard deviation must be: (6pts) Extra Credit Due 10/21/09 Name__________________________________ 6. Make a boxplot for the following data set. (6pts) 24, 15, 34, 92, 67, 34, 78, 45, 53, 67, 83, 46 7. Given the following data set, find the value that corresponds to the 30th percentile. . (6pts) 70, 82, 86, 88, 90, 97 8. Find the percentile rank for 86, in the data set. Data 70, 82, 86, 88, 90, 97 (6pts) Extra Credit Due 10/21/09 Name__________________________________ 9. A single card is drawn from a deck. Find the probability of selecting a heart or a King. (6pts) 10. How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in a row? (6pts) 11. If a menu has a choice of 2 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes? (6pts) Extra Credit Due 10/21/09 Name__________________________________ 12. An apartment building has the following apartments: 1st floor 2nd floor 3rd floor 1 bedroom 3 6 1 2 bedroom 5 3 4 (6pts) 3 bedroom 1 2 4 If an apartment is selected at random, what is the probability that it is not a 3 bedroom apartment on the 1st floor? 13. If two dice are rolled one time, find the probability of getting a sum greater than 9? (6pts) 14. At a local university 54.3% of incoming first-year students have computers. If three students are selected at random, find the probability that at least one has a computer. (6pts) Extra Credit Due 10/21/09 Name__________________________________ 15. In a company there are 10 executives: 4 women and 6 men. Three are selected to attend a management seminar. Find the probability, that all 3 selected will be men. (7pts) 16. How many different ID cards can be made if there are 7 digits on a card and no digit can be used more than once? (7pts) 17. In Rolling Acres Housing Plan, 42% of the houses have a deck and a garage; 60% have a deck. Find the probability that a home has a garage, given that it has a deck.(7pts)