Question

One way Anova question

level of significance: 0.05

EXERCISES: 1. The accompanying table gives the piece rates (in P10o) of pay for samples of workers in three different sewing shops. Test the hypothesis that the sample means are significantly different. Shop 1 2.30 2.35 2.25 2.00 Shop 2 2.00 1.80 2.15 2.10 1.90 1.75 Shop 3 1.65 1.90 1.85 1.80 1.75 1.95 2.00 1.90 2.10 2.40

Answer 1

Ans:

Analysis of Variance Results F-statistic value 10.04657 P-value 0.00117 Data Summary Std. Dev 0.1766 0.1612 0.1134 Std. Error 0.0668 0.0658 0.0401 Groups Group 1 Group 2 Group 3 Mean 2.1929 1.95 1.85 ANOVA Summary Degrees of Freedom Sum of Squares Mean Square p-Value F-Stat Source MS 0.2272 0.0226 DF 0.0012 Between Groups Within Groups Total: 0.4544 0.4071 0.8615 10.0466 18 20

As,p-value<0.05,we reject the null hypothesis.

There is sufficient evidence to conclude that the sample means are significantly different.