Question

A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. a random sample of 28 rounds of golf had a sample standard deviation of 3.5. what is the number of degrees of freedom for this hypothesisâ test?

Answer 1

It depends on which statistic test we wish to perform, the formula to find a degree of freedom could be different.

for Normal Distribution test, we do not need to find a degree of freedom

for T-test and Chi-Square test, we do n - 1 to find the degree of freedom, where 'n' is the sample size. 

if we have two different sample size, then the degree of freedom is given by (n₁ + n₂) - 2

We are given only one sample size, n = 28, hence the degree of freedom is 28 - 1 = 27