Question

The area under the normal curve between the mean and a score for which z= - 1.20 is

a. .2563
b. .7563
c. .1138
d. .3862
e. .3849

Answer 1

Answer: e. 0.3849

Explanation:

We know that the mean lies exactly at the middle of the normal curve .

The z-score of the mean value is 0.

Also According to the standard normal probability table, the probability value of z=0 is P(z<0)=0.5.

And the probability value of z=-1.20 is P(z<-1.2) =0.1150697.

Now, the area under the normal curve between the mean and a score for which z= - 1.20 is given by :-

`P(z<0)-P(z<-1.2)=0.5-0.1150697=0.3849303\approx0.3849`

Hence, the area under the normal curve between the mean and a score for which z= - 1.20 is 0.3849 .