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Unformatted text preview: Homework 4: Reading 10.13, 11.111.4
#1: Use the χ 2 statistic. χ 2 0.05, 24 = 36.415 . The critical region is (36.415, ∞ )
2
Computation: χ = ( 24) ( 2.03)
1.15 = 42.365 . At α =0.05 level, we reject the null hypothesis and conclude that the soft drink machine is
out of control.
#2: A study was made on the amount of converted sugar in a certain process at various
temperatures. The data were coded and recorded as follows:
Temperature
(x)
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2 Converted Sugar
(y)
8.1
7.8
8.5
9.8
9.5
8.9
8.6
10.2
9.3
9.2
10.5 (a) Estimate the linear regression line;
(b) Estimate the mean amount of converted sugar produced when the coded temperature is
1.75;
(c) Evaluate s2.
∧ Answers: (a) y = 6.4136 + 1.8091x .
(b) 9.580
(c) s2 = 0.4002 ...
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 Spring '11
 Qiu

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