A company in the Tampa Bay area wants to increase the productivity of its employ

Question

A company in the Tampa Bay area wants to increase the productivity of its employees. Four different programs have been considered for increasing productivity. Twenty employees have been randomly assigned to one of the four programs, and their outputs were recorded. The data are given below ram ram ra ram 150 130 120 180 145 150 120 135 160 110 185 220 180 190 175 175 150 120 130 175 1. State the null and alternative hypotheses. 2. Is there a significant effect of program? 3. Use the appropriate multiple comparison tests to determine if there are any significant differences between the programs (use a -05). Examples of SAS codes Libname in "c:io2"; data kentonl; set in. kenton; x1=0; if package=1 then x1=1; x2=0; if package"2 then x2=1; X3=0; if package=3 then x3=1; run: proc reg data=kenton! ; modely x1 x2 x3; run proc glm data-kenton; class package; model y-package; run

Explanation / Answer

H0: All the four groups means are equal

H1: Atleat one group mean is not same

Alpha:5%

Test statistic:

From Excel

The Fcal =6.140

Conclusion: P value=0.0056 < 0.05 we reject the Null hypothesis.

Hence one of group mean is not same

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 5 725 145 525 B 5 675 135 425 C 5 950 190 312.5 D 5 750 150 637.5 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 8750 3 2916.667 6.140351 0.00557 3.238872 Within Groups 7600 16 475 Total 16350 19

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