Homework4_solution

Homework4_solution - Homework 4: Reading 10.13, 11.1-11.4...

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Unformatted text preview: Homework 4: Reading 10.13, 11.1-11.4 #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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