Estimation of the parameters for the Normal and LogNormal distributions. DATA SET A: 2, 14, 23,...

Estimation of the parameters for the Normal and LogNormal distributions. DATA SET A: 2, 14, 23, 45, 67, 75, 89, 99, 101, 123, 138, 159, 188, 201, 203 DATA SET B: 13, 24, 35+, 65, 86, 99, 109, 118+, 131, 159, 189, 207 DATA SET C: 5, 13, 34+, 46+, 55, 74, 89, 93, 104, 112+, 126, 134, 145, 159, 167+, 173, 198, 203, 226, 241 DATA SET D: 9, 14, 85, 99, 126, 155, 169+, 199, 201+, 224+, 229, 256, 265, 289 (Note: + means censored time) For each of the data sets above, produce the following: Estimate the Mean and Population Standard Deviation parameters for the Normal Distribution using linear regression and comment on the strength of the fit. Estimate the Mean and Population Standard Deviation parameters for the LogNormal Distribution using linear regression and comment on the strength of the fit. Please show and explain work for each data set or explain how to plug numbers in for next group.

Expert Solution

Solution:-

Given data

The Normal and LogNormal distributions

Data Set A:

Statistics

Variable	N	N*	Mean	SE Mean	StDev	Minimum	Q1	Median	Q3	maximum
C1	15	0	101.8	17.1	66.4	2.0	45.0	99.0	159.0	203.0

Regression Analysis: C1 versus C2

The regression equation is

C1 = -16.23 + 14.75 C2

Model summary

S	R-sq	R-sq(adj)
7,86128	98.70%	98.60%

Analysis of Varaince

Source	DF	SS	MS	F	P
Regression	1	60947.0	60947.0	986.20	0.000
Error	13	803.4	61.8
Total	14	61750.4

orchestra answered 2 years ago

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