Statistics For Engineers And Scientists - 4 Edition - Chapter 9 - Problem 10se
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# Vermont maple sugar producers sponsored a testing program

Statistics for Engineers and Scientists | 4th Edition

Problem 10SE

Vermont maple sugar producers sponsored a testing program to determine the benefit of a potential new fertilizer regimen. A random sample of 27 maple trees in Vermont were chosen and treated with one of three levels of fertilizer suggested by the chemical producer. In this experimental setup, nine trees (three in each of three climatic zones) were treated with each fertilizer level and the amount of sap produced (in mL) by the trees in the subsequent season was measured. The results are presented in the following table.

a. Estimate the main effects of fertilizer levels and climatic zone, and their interactions.

b. Construct an ANOVA table. You may give ranges for the P-values.

c. Test the hypothesis that there is no interaction between fertilizer levels and climatic zone.

d. Test the hypothesis that there is no difference in sap production for the three fertilizer levels.

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L: Basic Connectives Monday,October2,2017 9:19AM Key Terms and Skills Terms: • o Sentential Operator o Connectives: Conjunction, disjunction, negation, and conditional o Parse Tree o Subformula • Skills o Representing statements in sentential logic Symbolizing Statements • In sentential logic, we will symbolize many statements using single letters o The simplest symbolic expressions of sentential logic have truth -values o Contrast: In predicate logic, noun phrases (e.g. "the dog") and predicates (e.g. "is red") are symbolized Sentential operators • o A rule for building statements from other statements o It would be better to call these statement operators

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