Question

In: Statistics and Probability

Construct a 99% confidence interval on the population variance and the population standard deviation for the...

Construct a 99% confidence interval on the population variance and the population standard deviation for the data listed below:

91.8, 112.1, 138.3, 90.6, 136.6, 113.6, 101.5, 123.6, 81.4, 119.2, 111.4, 89.4, 110.5, 80.5, 94.8, 117.0, 105.7, 146.6, 138.6, 99.9, 106.6

Solutions

Expert Solution

Values ( X )

91.8

 330.7197
112.1 4.4703
138.3 801.6996
90.6 375.8054
136.6 708.321
113.6 13.0632
101.5 72.0071
123.6 185.3492
81.4 817.1422
119.2 84.9033
111.4 2.0002
89.4 423.771
110.5 0.2645
80.5 869.4065
94.8 230.6055
117 49.2004
105.7 18.3672
146.6 1340.607
138.6 818.7782
99.9 101.7213
106.6 11.463
Total 2309.7 7259.6658

Mean

Standard deviation



n = 21




Lower Limit =
Upper Limit =
99% Confidence interval is ( 181.5058 , 976.5732 )
( 181.5058 < < 976.5732 )

For Standard deviation

( 13.4724 < < 31.2502 )

orchestra answered 2 years ago
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