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A researcher is interested to know if there is a difference in levels of religiosity between different income groups. The researcher administers a religiosity scale to a total of 15 people: 5 "low income" individuals, 5 "middle income" individuals, and 5 "high income" individuals. The means for each group are as follows:


Group A Low income N=5 Group B Middle Income N=5 Group C High Income N=5

∑X 37 22 43

Mean 7.4 4.4 8.6

∑X2 285 102 381

Respuesta :

batolisis

Answer: Your question is incomplete below is the missing part

missing  question : Calculate the between-group sum of squares

Answer : 46.8

Explanation:

Given data :

N = 5  for each group

First step : determine the grand mean value

∑ mean values / number of groups = ( 7.4 + 4.4 + 8.6  ) / 3  = 6.8

Finally the between-group sum of squares

= N ( mean A - Grand mean )^2  + N( mean B - Grand mean)^2 + N( mean C -grand mean )^2

= 5 ( 7.4 - 6.8)^2 + 5( 4.4 - 6.8 )^2 + 5( 8.6 - 6.8 )^2

≈ 46.8

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