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A sample of 165 Lancaster University (LU) undergraduates who obtain their degree have a mean age...

A sample of 165 Lancaster University (LU) undergraduates who obtain their degree have a mean age of 24.4 years and a standard deviation of 1.6 years. Combinations of 165 Lancaster University (LU) undergraduates and 230 University of Abertay Dundee (UAD) undergraduates have a mean age of 24.8 years and standard deviation of 2.2 years. Find the mean and standard deviation for the 230 university of Abertay Dundee (UAD) undergraduates.

Math   Statistics-And-Probability   
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Answer #1

Let be the mean age and Sx be the standard deviation of Lancaster University ( LU ).

= 24.4 , Sx = 1.6 , n1 = 165

Let be the mean age and Sy be the standard deviation of Abertay Dundee University ( UAD).

n2 = 230

We are given , + = 24.8 and = 2.2

= 24.8 - 24.4

= 0.4

=

Sy =

Sy =

Sy = 33.3113

Therefore for the 230 university of Abertay Dundee (UAD) undergraduates Mean age = 0.4 and standard deviation Sy = 33.3113

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