Question

A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240.

If we want to provide a 95% confidence interval for the SAT scores, the degrees of freedom for reading the critical values of "t" statistic is:_______.

Answer 1

Degree of freedom = 63

Explanation:

We are given the following in the question:

Sample size, n = 64

Sample mean = 1400

Sample standard deviation = 240

We need to make a 95% confidence interval.

We use the t-statistic for the same.

Degree of freedom:

• It is the maximum number of logically independent values that have the freedom to vary, in the data sample.

Degree of freedom for reading the critical values of t-statistic is

`= n =-1\\=64-1\\=63`

Thus, the degree of freedom is 63.