The confidence interval

Question

The confidence interval for the population variance is

C=0.98, s2=7.84, n=27

Answer 1

Hi Mia,

Given Data:

1. Confidence Level (C) = 0.98
2. Sample Variance (s squared) = 7.84
3. Sample Size (n) = 27

Objective: Calculate the 98% confidence interval for the population variance (sigma squared).

Formulae:

1. Lower Limit = ((n - 1) multiplied by s squared) divided by chi-squared Upper
2. Upper Limit = ((n - 1) multiplied by s squared) divided by chi-squared Lower

Chi-Square Values:

1. Chi-squared Upper = 45.64
2. Chi-squared Lower = 12.20

Confidence Interval for (sigma squared):

1. Lower Limit: 4.47
2. Upper Limit: 16.71

Interpretation: With 98% confidence, the population variance lies between 4.47 and 16.71.

If this was helpful for you, please consider leaving me a review :) Thank you!

Best regards,

Ben