7. Compared to the area between z = 0.50 and z = 0.75, the area between z = 1.50 and z = 1.75 in the standard normal distribution will be A. smaller B. larger C. the same

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The answer is 3 Smaller
Reason: both ranges are equal in width, but the range (1.50 to 1.75 ) is farther
away from mean (zero), and for normal probability, the maximum area is closest
to the mean as you would expect for any “bell shaped” distribution.
X
Following is demonstration of both areas (optional).
Find: P (0.5 < Z < 0.75)
Area in between 0.50 and 0.75
Z
0.6915
0.75
0.50
0
0.7734
0.7734 − 0.6915 = 0.0819
P (0.5 < Z < 0.75) = P (Z < 0.75) − P (Z < 0.5)
P (Z < 0.75): in a z-table having area to the left of z, locate 0.7 in the left
most column....