In a situation for which paired differences are appropriate, suppose that μd = 0, σd = 10, and n = 25.
a. Draw a picture of the appropriate sampling distribution, and show where the value d‾ = -3 falls on it.
b. Find the value of the standardized statistic corresponding to d‾= -3.
c. Draw a picture of the standard normal distribution with the standardized statistic that you found in part (b) shown on it. Compare it to your picture in part (a).