(i. The formula to convert any normal distribution to the standard normal distribution is z = (X - µ)/ $\sigma$
(ii) The standardized z 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 -1.0 is a proportion of 0.3413.
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 z 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 -1.0 is a proportion of 0.3413.
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

The formula to convert any normal distribution to the standard normal distribution is z = (X - µ)/σ, which is correctly stated in (i). The standardized z value indeed measures distance from the mean in units of standard deviation, as stated in (ii). However, the area under a normal curve to the right of a z-score of -1.0 is actually greater than 0.3413, making statement (iii) incorrect.

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