For this problem, use the Normal data set. The first column of data actually is a random sample from a normal distribution.
a. Use software to create a histogram and normal probability plot of the first column of the Normal data set.
b. Double the five largest observed values in the Normal data set. Create a histogram and normal probability plot of the “Largest 5 Doubled” data. Describe how the normal probability plot and the histogram change.
c. Now, double the five smallest observed values in the original Normal data set. Create a histogram and normal probability plot of the “Smallest 5 Doubled” data. Describe how the normal probability plot and the histogram change.
d. Draw (by hand) a picture of what a normal probability plot might look like for a data set with fewer observations in both tails than you would expect from a normal distribution.
e. Draw (by hand) a picture of what a normal probability plot might look like for a data set with more observations in both tails than you would expect from a normal distribution.