Review Chapter 131.Allied Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. You are given the results below.Program AProgram BProgram CProgram D150150185175130120220150120135190120180160180130145110175175a.State the null and alternative hypotheses.b.Construct an ANOVA table.
c.
As the statistical consultant to Allied, what would you advise them? Use a .05 level of significance.d.Use Fisher's LSD procedure and determine which population mean (if any) is different from the others. Let α= .05.ANS:a.H0: μ1= μ2= μ3= μ4Ha: At least one mean is differentb.Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFTreatment8,75032,916.676.14Error7,60016475.00Total16,35019c.Reject H0; 6.14 > 3.24, conclude that there is a significant difference in the mean output among the four programsd.LSD = 29.22; the mean of population C is different from the others.PTS:1Exhibit 1Source of VariationSum ofSquaresDegrees ofFreedomMeanSquareFBetween Treatments2,073.64Between Blocks6,000.051,200Error20288Total29

2.Refer to Exhibit 1. The null hypothesis for this ANOVA problem is
a.μ1=μ2=μ3=μ4b.μ1=μ2=μ3=μ4=μ5c.μ1=μ2=μ3=μ4=μ5=μ6d.μ1=μ2= ... =μ20ANS: BPTS:1

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- Regression Analysis, Standard Error, Null hypothesis, Errors and residuals in statistics, R Square