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A sample of 148 of our statistics students rated their level of admiration for Hillary Rodham Clinton on a scale of 1 to 7. The mean rating was 4.06, and the standard deviation was 1.70. (For this exercise, treat this sample as the entire population of interest.)

a. Use these data to demonstrate that the mean of thez distribution is always 0.

b. Use these data to demonstrate that the standard deviation of the z distribution is always 1.

c. Calculate the z score for a student who rated his admiration of Hillary Rodham Clinton as 6.1.

d. A student had a z score of 0.55. What rating did she give for her admiration of Hillary Rodham Clinton?

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