Question:

Dr. Green is studying extraversion in a group of adult Canadians who say they will try marijuana (POT-YES) or will not try marijuana (POT-NO). The obtained scores were:

1. By hand, calculate the 10% trimmed mean, mean absolute deviation, and standard deviation of extraversion scores in POT-NO Canadians. Show your work.
2. Describe the extraversion scores of POT-YES and POT-NO Canadians using appropriate graphs and measures of central tendency and variability. Highlight any differences between the scores of the groups.
3. Assuming extraversion scores of POT-YES Canadians are normally distributed in the population, determine the proportion of POT-YES individuals who score above the first student (extraversion = 15). Include a hand sketch of the normal distribution with z-scores on the x-axis up to 3 standard deviations from the mean. Label where an extraversion score of 15 (i.e., the z score associated with a raw score of 15) falls on the x-axis and shade in the area of interest under the distribution.
4. Again assuming that extraversion scores of POT-YES Canadians are normally distributed in the population, determine the proportion of POT-YES Canadians that fall between scores of 11 and 14.

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