Assume that you have a sample 41-42»^ 100 from Weibull distribution .... = 120 -1 fr(x) = 2· exp(-x² / a')·x/ a´,x>0 Also you know that 1. Find a maximum likelihood estimate of a Land, therefore, find Var(X) H :a >1 2. Find Var(X), then substitute aand, therefore, find 3. Test the hypothesis H0:a = 1 (assume a confidence level = 0.05). Here use Lagainst test for a mathematical expectation.

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Assume that you have a sample
X1,X,. X
4 100 from Weibull distribution
......
Ex = 120
=1
fx(x) = 2· exp(-x² /a')•x/a´,xz0 Also you know that
1. Find a maximum likelihood estimate of a,
Land, therefore, find Var(X)|
H:a >1
2. Find Var(X), then substitute
3. Test the hypothesis Ho : a =1
test for a mathematical expectation.
against
(assume a confidence level = 0.05). Here use t-
Transcribed Image Text:Assume that you have a sample X1,X,. X 4 100 from Weibull distribution ...... Ex = 120 =1 fx(x) = 2· exp(-x² /a')•x/a´,xz0 Also you know that 1. Find a maximum likelihood estimate of a, Land, therefore, find Var(X)| H:a >1 2. Find Var(X), then substitute 3. Test the hypothesis Ho : a =1 test for a mathematical expectation. against (assume a confidence level = 0.05). Here use t-
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