Use the table of z-scores to find the percentage of data items in a normal distribution that lie in the given range.

Question

a. above z= -0.9

b. below z= -0.9

c. between z= .4 and z= 1.4

d. above z= -1.86

e. below z= 2.43

f. between z= 1.94 and z= 2.87

Answer 1

(a) Z=-0.9 corresponds to 18.41% and below. So above this is 81.59%.

(b) 18.41%.

(c) Z=0.4 is 65.54% and below, Z=1.4 is 91.92% and below, within the range is 26.38%.

(d) Z=-1.86 is 3.14% and below, so 96.86% above.

(e) Z=1.94 is 97.38% and below, Z=2.87 is 99.79% and below, so within the range is 2.41%.