Question

# 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.

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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