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HW Solutions Stat 44

# HW Solutions Stat 44 - 093 If | t ∗ |> 2 093 conclude H...

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Chapter 15 INTRODUCTION TO THE DESIGN OF EXPERIMENTAL AND OBSERVATIONAL STUDIES 15.9. a. Observational. b. Factor: expenditures for research and development in the past three years. Factor levels: low, moderate, and high. c. Cross-sectional study. d. Firm. 15.14. a. Experimental. b. Factor 1: ingredient 1, with three levels (low, medium, high). Factor 2: ingredient 2, with three levels (low, medium, high). There are 9 factor-level combinations. d. Completely randomized design. e. Volunteer. 15.20. a. 2 3 factorial design with two replicates. c. Rod. 15.23. a. H 0 : ¯ W = 0, H a : ¯ W = 0. t = . 1915 /. 0112 = 17 . 10, t ( . 975 , 19) = 2
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Unformatted text preview: . 093. If | t ∗ | > 2 . 093 conclude H , otherwise conclude H a . Conclude H a . P-value = 0+. Agree with results on page 670. They should agree. b. H : β 2 = · · · = β 20 = 0, H a : not all β k ( k = 2 , 3 , . . . , 20) equal zero. F ∗ = [( . 23586 − . 023828) / (38 − 19)] ÷ [ . 023828 / 19] = 8 . 90, F ( . 95; 19 , 19) = 2 . 17. If F ∗ > 2 . 17 conclude H , otherwise conclude H a . Conclude H a . P-value = 0+. Not of primary interest because blocking factor was used here to increase the precision. 15-1...
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