Question

1.Given a sample size of n=19, what is the degree of freedom for hypothesis testing and confidence intervals for mean

2.Given α=0.01 and n=30, find the positive critical t-score for a one-tail test of hypothesis.

Answer 1

Question 1

Solution:

We are given

Sample size = n = 19

Degrees of freedom for the hypothesis testing and confidence interval for the mean is given as below:

Degrees of freedom = df = n - 1 = 19 - 1 = 18

Answer: 18

Question 2

Solution:

We are given

Level of significance = α = 0.01

Sample size = n = 30

Degrees of freedom = df = n - 1 = 30 - 1 = 29

The positive t-score for one-tailed test of hypothesis by using t-table or excel is given as below:

t-score = 2.46