In: Statistics and Probability
Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal place.
n = 3, s = 7.1, and c = 0.98
Solution :
Given that,
s = 7.1
s2 = 50.41
2R = 2/2,df = 9.210
2L = 21 - /2,df = 0.020
The 98% confidence interval for is,
(n - 1)s2 / 2/2 < < (n - 1)s2 / 21 - /2
(2)(50.41) / 9.210 < < (2)(50.41) / 0.020
3.3 < < 70.8
(3.3 , 70.8)