Question

Consider a set of 18 sample
from a standard normal
distribution. We square each
sample and sum all the
squares. The number of
degrees of freedom for a Chi
Square distribution will be?​

Answer 1

Answer:

Step-by-step explanation:

Initially, you have 18 degrees.  

But, post square, you have 17.

Answer 2

Answer:

The number of degrees of freedom for a chi-square distribution = $18$.

Step-by-step explanation:

Data given,

The number of samples from a standard normal distribution, N = $18$

Each sample was squared and added.

For a chi-square distribution, the number of degrees of freedom =?

As we know,

• The Chi-Square distribution is the sum of the squared standard normal distribution.

Therefore, we can say that:

• The degrees of freedom of the distribution = the number of standard normal distributions.

As given,

• The number of samples from a standard normal distribution, N = $18$

Hence,

• The number of degrees of freedom for a chi-square distribution observed is $18$.