222k views
0 votes
Given a sample size 51 yeliding a sample variance 81 compute the confidence interval for variance at 5%

1 Answer

1 vote

Answer:

Step-by-step explanation:

The confidence interval for variance at 5% is (62.3, 99.7).

To calculate the confidence interval, the degrees of freedom (df) needs to be calculated first. This is computed as df = n - 1, where n is the sample size. In this case, df = 51 - 1 = 50.

The critical value for a 95% confidence interval is then calculated using the chi-square distribution with 50 degrees of freedom. This value is 68.25.

The upper and lower bounds of the confidence interval are then calculated as:

Lower bound = sample variance / chi-square critical value = 81 / 68.25 = 1.19

Upper bound = sample variance * chi-square critical value = 81 * 68.25 = 5.51

The confidence interval for variance at 5% is therefore (1.19, 5.51), or (62.3, 99.7) rounded to the nearest whole number.

User Jim Jeffers
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.