Task: In a certain factory, production can be accomplished by four different workers on five diffferent types of machines. A simple study, in context of a two-way design without repeated values, is being made with two fold objectives of examining whether the four workers differ with respect to mean productivity and whether the mean productivity is the same for the five different machines. The researcher involved in this study reports while analysing the gathered data as under : i: Sum of squares for variance between machines = 35.2 %3D (ii) Sum of squares for variance between workmen = 53.8 %3D (iii) Sum of squares for total variance = 174.2 Set up ANOVA table for the given information and draw the inference about variance at 5 per cent level of significance.

Task: In a certain factory, production can be accomplished by four different workers on five diffferent types of machines. A simple study, in context of a two-way design without repeated values, is being made with two fold objectives of examining whether the four workers differ with respect to mean productivity and whether the mean productivity is the same for the five different machines. The researcher involved in this study reports while analysing the gathered data as under : i: Sum of squares for variance between machines = 35.2 %3D (ii) Sum of squares for variance between workmen = 53.8 %3D (iii) Sum of squares for total variance = 174.2 Set up ANOVA table for the given information and draw the inference about variance at 5 per cent level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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