13th October, 2023

Well continuing from where we were last time comparing age data for different races and finding a discrepancy between the means for Black, Whites and Hispanics.

The case was that on average Blacks were found to be 7 years younger than Whites, in the data. We wanted to confirm if this is the case by chance or is there an actual contributing factor.

To do this we can conduct T tests to check if the P values are significant for us to reject the null hypotheses that there is no difference in the true means of the samples.

T test for ages of Blacks and Whites
T test for ages of Blacks and Whites

Here we can see that the ages for black people vary from nearly 9 years younger to 6.5 years younger for 95%  of the interval.

The T values are high and the P values are significantly low and we can say this is not just down to chance, it’s highly improbable.

T test for hispanic ages vs white ages
T test for hispanic ages vs white ages

As we can see here, the two ages are different on an average and the P values indicate this is highly unlikely to have happened by chance, the T values corroborate this as well.

 

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