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 1 year ago

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