(i. The formula to convert any normal distribution to the standard normal distribution is z = (X - µ)/ $\sigma$
(ii) The standardized value measures distance from the mean in units of standard deviation.
(iii) The area under a normal curve to the right of a z-score of zero is 1.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (ii) and (iii) are correct statements but not (i).

Question

(i. The formula to convert any normal distribution to the standard normal distribution is z = (X - µ)/ $\sigma$ 
(ii) The standardized value measures distance from the mean in units of standard deviation.
(iii) The area under a normal curve to the right of a z-score of zero is 1.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (i) and (ii) are correct statements but not (iii).
E) (ii) and (iii) are correct statements but not (i).

Quizplus · Accepted Answer

(i) The correct formula for converting any normal distribution to the standard normal distribution is z = (X - µ)/σ, not as stated. (ii) The standardized value indeed measures the distance from the mean in units of standard deviation. (iii) The area under a normal curve to the right of a z-score of zero is 0.5, not 1.

(I the Formula to Convert Any Normal Distribution to the Standard