Math, asked by kunalsoni12, 4 months ago

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

Answered by amitnrw
1

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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