Normal Distribution

Question

How do I tell if my data is normally distributed looking at my data on the Shapiro-Wilk output?

 

Male:

Statistic: .966

df: 14

Sig. .822

 

Female:

Statistic: .912

df: 14

Sig: .167

 

which of the following options is true?

 

Both groups have normally distributed data.


Only one group has normally distributed data.


None of the groups have normally distributed data.

Answer 1

The null hypothesis for the Shapiro-Wilk test is that the distribution is normal. Therefore if the p value of the test is greater than the alpha level of significance, we fail to reject the null.

 

Since both p values are greater than. 05, both groups are normally distributed. 

 

The answer is:

 

Both groups have normally distributed data.