The best way to study is to attempt to do these problems on your own before looking at the answers.
Suppose the heights of adult females is normally distributed with a mean of 66 inches and a standard deviation of 1.75 inches. Suppose that the heights of adult males is normally distributed with a mean of 70 inches and a standard deviation of 2.2 inches. Jill is 70 inches tall and Jack is 75 inches tall. Which person is taller relative to those of their same gender?
Suppose the average height (in inches) of females is 66 with a standard deviation of 1.75.
Find the standard scores corresponding to the following female heights:
A. x = 69 inches
B. x = 63 inches
C. x = 5 feet
Find the following probabilities:
D. P(x <= 66)
E. P(x >= 70)
F. P(65 < x < 67)
Suppose the average height of males is 70 inches with a standard deviation of 2.2 inches.
Find the standard scores corresponding to the following male heights:
A. x = 76
B. x = 69
C. x = 6 feet
Find the following probabilities:
D. P(x < 65)
E. P(67 < x < 73)
F. P(x >= 71)
Suppose the average IQ score is 110 with a standard deviation of 11.
Find the standard scores corresponding to the following IQ scores:
A. x = 93
B. x = 105
C. x = 110
D. x = 129
Find the following probabilities:
E. P(x < 90)
F. P(x >= 120)
G. P(115 <= x <= 140)
