QUESTION #1 (4 marks total)You are interested in sampling 1,000 residents living in Yarmouth to determine their opinionabout the quality of their drinking water. The population of Yarmouth is 50,000 with 10,000getting water from private wells and 40,000 getting town water. What would be thecomposition of your sample of 1,000 residents and how would you choose it, if you usedstratified sampling? Show your work.
QUESTION #2 (7 marks total)Suppose you want to test whether an energy drink called Zap improves math performancein Yorks Psyc 2030 students. You also want to determine whether theres a difference in mathperformance because of their already-existing experience with Zap. More specifically, is mathperformance better for students who are habitual Zap drinkers (drink it every day) compared tostudents who never drank Zap before? Students in each of these two groups are randomlyassigned to one of three Zap dosage levels: 0oz, 5oz, or 10oz.2A) How many different conditions are in the study?2B) What would the control group be?2C) What is the name given to this type of design?2D) Must subjects be randomly assigned to all of the different conditions? Briefly explain2E) Can one infer a cause-and-effect relationship in this study? Briefly explain.
QUESTION #3 (12 marks total)3A) If you wanted to determine whether there is a relationship between amount of Zapconsumed and IQ and decided to use the correlation method of research, what might you do?(Provide detail)3B) If you find that these two variables are strongly correlated can you infer a cause and effectrelationship? Why? What might be acting as the cause?3C) Give one variable that would likely be positively correlated with the consumption of Zap inuniversity students.3D) Give one variable that would likely be negatively correlated with the consumption of Zapin university students. (Dont use the same variables as in 3C)3E) If the correlation coefficient between Zap consumption and IQ is r = -.86, fully describe howthese two variables are related.3F) Calculate the coefficient of determination. What is it telling you about the relationshipbetween these two variables? (Be sure to use the terms IQ and amount of Zap consumed inyour answer.)
QUESTION #4 (14 marks total)4) A researcher is interested in the effects of room color (yellow, blue) and room temperature(20, 24, 28 degrees Celsius) on happiness. A total of 120 university students participated in thisstudy, with 20 students randomly assigned to each condition. After sitting for 30 mins. in a roomthat was painted either yellow or blue, and that was either 20, 24, or 28 degrees, students wereasked to rate how happy they felt on a scale of 1 to 15, where 15 represented the most happiness.The results are as follows:temperature room color happiness20 yellow 1224 yellow 1028 yellow 620 blue 424 blue 428 blue 44A) Place the data into the cells of the matrix and determine the row and column means (a handdrawn matrix is fine).4B) Draw a fully labeled line graph of the results (a hand-drawn graph is fine).4C) List each significant effect and after each one, describe what the effect is telling us abouthow temperature and color affected happiness. (For the purpose of this exercise, assume that adifference of 1 between any of the row or column means is a significant difference. Also, ifthe data or graph seem to indicate an interaction effect, consider it as being a significantinteraction.)4D) If any of the above effects should take precedence, indicate which effect(s). (If they are ofequal importance, simply indicate so.)4E) What is the name given to this type of design?
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