(i. The mean of a normal probability distribution is 60 and the standard deviation is 5. 95.44 percent of observations lie between 50 and 70. (ii) A z-value of -2.00 indicates that corresponding X value lies to the left of the mean.
(iii) One of the properties of the normal curve is that it gets closer to the horizontal axis, but never touches it. This property of the normal curve is called asymptotic.
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

Quizplus · Accepted Answer

(i) is correct as it provides information about the mean and standard deviation of a normal distribution and the percentage of observations between certain values. 
(ii) is correct as it explains the meaning of a negative z-value in relation to the mean of the distribution. 
(iii) is correct as it describes the property of the normal curve that it approaches but never touches the horizontal axis, which is known as being asymptotic.

(I the Mean of a Normal Probability Distribution Is 60