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Mr. Gregory White
M.A., M.S. Education / Educational Administration
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1. US Census statistics show that college graduates make more
1. US Census statistics show that college graduates make more than $254,000 more in their lifetime than non-college graduates. If you were to question the validity of this observation, what would be your basis for doing so? A. Definition of a college graduate B. Work lifestyles of the population C. Defining “lifetime” D. How the Census was taken 2. The average age in a sample of 190 students at City College is 22. As a result of this sample, it can be concluded that the average age of all the students at City College A. must be more than 22, since the population is always larger than the sample B. must be less than 22, since the sample is only a part of the population C. could not be 22 D. could be larger, smaller, or equal to 22 3. Since a sample is a subset of the population, the sample mean A. is always smaller than the mean of the population B. is always larger than the mean of the population C. must be equal to the mean of the population D. can be larger, smaller, or equal to the mean of the population Use the following situation for Questions 4-7. Michael, Inc., a manufacturer of electric defibrillators, is a firm that makes 50 types of electric defibrillators . The table below shows the price distribution of the defibrillators . Price (In $) Number of Defibrillators 100 – 130 8 140 - 170 12 180 - 210 20 220 - 250 10 Select from the following choices for Questions 4-7. Use letter only in the blank. A. 32 B. 50% C. 20 D. 30 E. 16% F. 10 G. 60% H. 50 4. How many defibrillators have a price of at least $180?_______ 5. What percentage of the defibrillators has a price of at least $180? ______ 6. What percentage of the defibrillators has a price of less than $140? _____ 7. How many defibrillators cost at least $140 but no more than $210? ______ 8. Temperature is an example of A. a qualitative variable B. a quantitative variable C. either a quantitative or qualitative variable D. neither a quantitative nor qualitative variable Use the following situation for Questions 9 and 10. The following frequency distribution shows the frequency of outbreaks of the s1a1 virus (statistics flu) for the following households in a small rural community. Households 1134 406 168 41 25 12 Outbreaks 0 1 2 3 4 5 9. Use the frequency distribution to construct a probability distribution by filling in the blanks below. x 0 1 2 3 4 5 P(x) P(0) = __ P(1) = __ P(2) = __ P(3) = ___ P(4) = ___ P(5) = ___ 10. Compute the mean and the standard deviation and select from the following the appropriate interpretation of the results (select best response) A. A household on the average has 0.9 outbreaks with a standard deviation of .6 outbreaks B. A household on the average has 0.6 outbreaks with a standard deviation of 12 outbreaks C. A household on the average has 0.9 outbreaks with a standard deviation of .9 outbreaks D. A household on the average has 0.6 outbreaks with a standard deviation of .9 outbreaks Use the following situation for Questions 11 - 13. Twenty students were randomly selected for cholesterol screening. The following data were collected. 260 164 210 225 244 254 233 184 269 206 158 209 221 213 198 179 214 257 246 221 11. Using the information above compute the following: (Round to nearest hundredth) A. Mean = _____ B. Median = _____ C. Mode = _____ D. Sample Standard Deviation = _____ E. The Sample Variance = ______ F. The Coefficient of Variation = ______ (as a percent, for example 27.43%) 12. Is the data skewed _______ (select correct letter from list below) A. No B. Skewed left C. Skewed right D. Unable to determine 13. Which is the best measure of central tendency for the randomly selected cholesterol screenings? _______ (select correct letter from list below) A. Mean B. Median C. Mode D. It does not matter, one is as good as the other 14. Let event A = a patient does not survive a new treatment procedure for prostrate cancer and event B = the patient is permanently rendered sexually dysfunctional by the new treatment. Furthermore, events A and B are mutually exclusive. Which of the following statements is also true? A. A and B are also independent. B. P(A or B) = P(A)P(B) C. P(A or B) = P(A) + P(B) D. P(A and B) = P(A) + P(B) 15. Twenty-five percent of the employees of a large hospital are minorities. A random sample of 7 employees is selected. A. What is the probability that the sample contains exactly 4 minorities? ____ B. What is the probability that the sample contains fewer than 2 minorities? ____ C. What is the probability that the sample contains exactly 1 non-minority? ____ D. What is the expected number of minorities in the sample? ______ E. What is the variance of the minorities? _______ Select from the answers below. Place the correct letter in the blanks above. A. 0.5551 B. 1.1456 C. 0.4449 D. 0.0013 E. 1.
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