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foxy10 foxy10
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8 years ago
11) Consider the following populations and samples.  For each try to decide which population the sample was more likely to have been drawn from.
a)  A standard deck (population 1) has 52 cards, one copy of Duece (2) through Ace for each of the four suits ( ♥, ♦, ♣, ♠); a Pinochle deck (population 2) has 48 cards, two from each of the four suits, 9 through Ace (9,10,J,Q,K,A).  If you were dealt 9♥, 10♠, J♣, K♠, A♥ (our sample), which deck (population) is this hand more likely to have come from?  How certain do you feel about your choice?


b)  At the local game store you pick up two 6-sided dice.  One die is a "true" die, with which the chances of rolling a 1, 2, 3, 4, 5, or 6 are all equivalent.  The other die is a "loaded" die, that has been weighted so that the 1 happens very infrequently, the 6 occurs more frequently than usual, and the 2, 3, 4, & 5 occur at their normal rates.  The two dice look the same and you forget which is which.  So you decide to pick one of them and roll it 6 times (our sample).  Suppose that your sample roll is: 1, 1, 3, 2, 6, 2.  Which die do you think you selected, the "true" die or the "loaded" die? How certain do you feel about your choice?

Approximately 21,000 school psychologists are members of the National Association of School Psychologists. Of these, about 5000 have doctoral degrees. A researcher wanted to randomly select 100 of the doctoral-level school psychologists for a survey regarding aspects of their jobs, including job attitudes. Here is an excerpt from a random numbers table that you should use for the following questions:
04493 52494 75246 33824 45862 61962 00549 97654 64051 88159 63896 54692 35963 15307 26898 33351 35462 77974 59802 08391
51025 96119 09335 45427
 
a. What is the population targeted by this research study? How large is it?

b. What is the sample desired by the researcher? How large is it?

c. Describe how the researcher would select his/her sample. Be sure to explain how the members of the population would be numbered and what sets of digits the researcher should ignore when using the random numbers table above.

d. Beginning at the left-hand side of the top line and continuing with each succeeding line (reading L to R), list the first 10 participants this researcher would select for the study.



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