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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.

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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 Preview

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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