Question
Consumer products company relies on direct nail marketing pieces as major component of its advertising campaigns. The company has thce different designs for 1 new brochure and wunI caluate their eflectiveness. there are substantial diflerences in costs betwecn the three designs: The company decides test thc thrce designs by mailing 5000 sumples of cach to potential custonrs in four diflerent regions RK AVUGLAH ofthe country. Since there are known regional dilferences in the custonkr bause, regi
consumer products company relies on direct nail marketing pieces as major component of its advertising campaigns. The company has thce different designs for 1 new brochure and wunI caluate their eflectiveness. there are substantial diflerences in costs betwecn the three designs: The company decides test thc thrce designs by mailing 5000 sumples of cach to potential custonrs in four diflerent regions RK AVUGLAH ofthe country. Since there are known regional dilferences in the custonkr bause, regions cons idered blocks: The number of responses to each mailing 4s follows: During data entry; the ligure for the 2" design Ashanti region could not be found. This Mrked with thc kuter M; Rcuicn Bestgn Northetn Voltu Ashnti G.Accnu 150 J50 219 375 4uu 525 S80 275 J4u 20 JO Estimate the valuc M Analyze the data from this experiment using signilicance levelof 59#. (c) Use Ihe Fisher LSD method nuke comparisons Jng Uhe three designs detenine specifically which designs diller in the mean response rate:
Answers
Filling Bottles A certain brand of apple juice is supposed "to have 64 ounces of juice. Because the punishment for underfilling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or underfilling. She randomly samples 22 bottles of juice and measures the content and obtains the following data: $$\begin{array}{llllll} 64.05 & 64.05 & 64.03 & 63.97 & 63.95 & 64.02 \\ \hline 64.01 & 63.99 & 64.00 & 64.01 & 64.06 & 63.94 \\ \hline 63.98 & 64.05 & 63.95 & 64.01 & 64.08 & 64.01 \\ \hline 63.95 & 63.97 & 64.10 & 63.98 & & \end{array}$$ (a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and boxplot are shown. Are the conditions for testing the hypothesis satisfied? (b) Should the assembly line be shut down so that the machine can be recalibrated? Assume $\sigma=0.06$ ounces and use a 0.01 level of significance. (c) Explain why a level of significance of $\alpha=0.01$ might be more reasonable than $\alpha=0.1 .$ [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.] FIGURE CANT COPY