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Theoretical frequency for normal distribution

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Consider a set of 50 measurements with mean of 50.2 and standard deviation 18.7 with the following observed frequencies.

Interval Observed Frequencies
39.99 or less 12
40 - 59.99 18
60 - 79.99 15
80 and higher 5
50

It is desired to test whether these measurements came from a normal population. Calculate the theoretical frequency for the interval 60 - 79.99.

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Solution Summary

The solution calculates theoretical frequency for normal distribution

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Mean= 50.2
Standard deviation = 18.7
x1= 79.99
x2= 60
z1=(x1- Mean)/standard deviation= 1.593 =(79.99-50.2)/18.7
z2=(x2- ...

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