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If I have rejected my null hypothesis and determined that the age of MI patients does...

If I have rejected my null hypothesis and determined that the age of MI patients does vary by gender, how does this finding help answer my health question?

Health Question: to what extent does the age of MI patients vary by gender?

Math   Statistics-And-Probability   
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Answer #1

Answer :

Let us consider the null hypothesis and alternative hypothesis

The null hypothesis is :

The alternative hypothesis is :

Now,based on this we use independent two sample t test.

We have the formula for test statistics is as follows :

We have two cases :

Case 1 :

we use pooled t test if population variances are equal then we use the formula :

Where,

Case 2 :

we use un-pooled t-test if population variances are equal then we use the formula :

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