Homework5_solution

# Homework5_solution - (ii Analysis of Variance Source DF SS...

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Homework 5: Reading assignment sections 11.5, 11.6, 11.7 Due next Tuesday (3/1/2011) Refer to the same data set we studied in homework 4. 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) Converted Sugar (y) 1 8.1 1.1 7.8 1.2 8.5 1.3 9.8 1.4 9.5 1.5 8.9 1.6 8.6 1.7 10.2 1.8 9.3 1.9 9.2 2 10.5 (a) Test the hypothesis 0 : 0 = β H versus 0 : 1 H at 05 . 0 = α level using the following two methods: (i) Student T statistic (ii) Analysis of variance approach (i) T = 3.00, reject the null hypothesis at 0.05 significance level.
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Unformatted text preview: (ii) Analysis of Variance Source DF SS MS F P Regression 1 3.6001 3.6001 9.00 0.015 Residual Error 9 3.6017 0.4002 Total 10 7.2018 (b) Construct a confidence interval for the mean amount of converted sugar produced when the coded temperature is 1.75; Ans: (9.030, 10.130) (c) Construct a prediction interval for the amount of converted sugar produced when the coded temperature is 1.75; Ans: (8.046, 11.113)...
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