In: Statistics and Probability
Given the data set below, construct a 95% confidence interval for the standard deviation.
98 71 124 116 118 131 102 93 95 99
= (98 + 71 + 124 + 116 + 118 + 131 + 102 + 93 + 95 + 99)/10 =
104.7
s = sqrt(((98 - 104.7)^2 + (71 - 104.7)^2 + (124 - 104.7)^2 + (116 - 104.7)^2 + (118 - 104.7)^2 + (131 - 104.7)^2 + (102 - 104.7)^2 + (93 - 104.7)^2 + (95 - 104.7)^2 + (99 - 104.7)^2)/9) = 17.702
df = 10 - 1 = 9
At 95% confidence level, the critical values are
The 95% confidence interval for population standard deviation is