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Create the null and alternative hypotheses for the following research problems! Some people believe that sons...

Create the null and alternative hypotheses for the following research problems! Some people believe that sons are taller than their fathers. Conduct a study to verify the theory!

Math   Statistics-And-Probability   
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Answer #1

There are two ways:

1) Independent sample t-test

Take the average of the sum of the height of fathers and sons and check for a significance level if the average height of sons is more than that of the fathers.

Null hypothesis: the average height of sons is greater than or equal to that of the average height of fathers.

Alternate hypothesis: the average height of sons is less than that of the average height of fathers.

2) Paired/dependent sample t-test

For each pair of father-son height calculate the differences for each pair and check if the mean difference is greater than 0 or not.

Null hypothesis: The average difference of the paired samples is greater than or equal to 0.

Alternate hypothesis: The average difference of the paired samples is less than to 0.

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