Question

A) Suppose X ~ N(12, 1). What value of x has a z-score of −2.25? (Enter an exact number as an integer, fraction, or decimal.)
x =

B) Suppose X ~ N(−1, 4). What is the z-score of x = 10? (Enter an exact number as an integer, fraction, or decimal.)
z =

C) Suppose X ~ N(4, 1). What is the z-score of x = 4? (Enter an exact number as an integer, fraction, or decimal.)
z =

D) Suppose a normal distribution has a mean of seven and a standard deviation of 1.75. What is the z-score of x = 5.5? (Round your answer to two decimal places.)
z =

Answer 1

Solution,

A) Using z-score formula,

x = z * +

x = -2.25 * 1 + 12

x = 9.75

B) Using z-score formula,

z = x - /   

z = 10 - (-1) / 4

z = 2.75

C) Using z-score formula,

z = x - /   

z = 4 - 4 / 1

z = 0

D) Using z-score formula,

z = x - /   

z = 5.5 - 7/ 1.75

z = -0.86