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(IELM313)Solution to HW4.pdf
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Solution to Homework 4

Observations System 1 System 2 System 3 System 4 System 5
Mean 10.85643 11.94912 13.58995 7.823755 15.63171
Variance 4.649121 6.574451 29.60424 1.371068 1.087228
Q1
v 56 38 45 42
(0.9875,v)t 2.3033 2.3337 2.3189 2.3246
half length 1.41 2.49 1.04 1.02
1 iY . Y -1.0927 -2.73353 3.032671 -4.77528
L -2.50 -5.23 1.99 -5.79
U 0.32 -0.24 4.07 -3.76
C.I. (-2.50,0.32) (-5.23,-0.24) (1.99,4.07) (-5.79,-3.76)

Q2
t(0.0125,29) -2.3638 -2.3638 -2.3638 -2.3638
i5W 1.033637 1.194571 2.390886 0.676655
5 5( 0) iY W + . . 14.59807 14.43714 13.24082 14.95506
Retain or not no no yes no
5 5( 1) iY W + . . 15.59807 15.43714 14.24082 15.63171
Retain or not no no no no