in a sample of 1000 cases, the mean of a certain test is 14.40 and standard deviation = 2.50. Assuming normality distribution, how many individuals score between 12 and 16
Answers
Given : a sample of 1000 cases,
the mean of a certain test is 14.40 and standard deviation = 2.50.
To Find : Assuming normality distribution, how many individuals score between 12 and 16
Solution:
Mean = 14.4
SD = 2.5
Z score = ( Value - Mean)/SD
Z score for 12
= ( 12 - 14.4)/2.5
= -0.96
for -0.96 z score = 0.1685
Z score for 16
= ( 16 - 14.4)/2.5
= 0.64
for 0.64 z score = 0.7389
Between 12 & 16 = 0.7389 - 0.1685
= 0.5704
sample of 1000 cases,
Hence between 12 and 16 = 1000 x = 0.5704
= 570.4
= 570
570 individuals score between 12 and 16
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