(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 a proportion of 0.50.
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 a proportion of 0.50.
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 $z = \frac{X - \mu}{\sigma}$, which matches the given formula despite the formatting issue. (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 indeed 0.50, as the normal distribution is symmetric around the mean.

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