Assume that the Department of Business Administration is
investigating the working capacity of its four (4) typists along with their
familiarity with four (4) typewriter models as described in the Excel
printout shown below. The typist’s competence would be measured in
terms of words per minute each of the 4 typists is able to type with each
of the 4 typewriters.
Anova: Two-Factor Without Replication
SUMMARY Count Sum Average Variance
Typist A 4 288 72.00 54.00
Typist B 4 228 57.00 32.67
Typist C 4 302 75.50 39.00
Typist D 4 263 65.75 24.92
Royal 4 275 68.75 76.25
IBM 4 255 63.75 142.92
Underwoo
d
4 264 66.00 42.00
Olivetti 4 287 71.75 104.92
ANOVA
Source of
Variation
SS df MS F P-value F
crit
Rows 790.1875 3 263.39583 7.69507 0.007443 3.86
Columns 143.6875 3 47.895833 1.39927 0.30523 3.86
Error 308.0625 9 34.229167
Total 1241.938 15
Required:
a) Formulate the necessary statement of the problem for this study.
b) At 5% level of significance test the hypothesis that the typists are of
equal speed
c) At 5% level of significance test the hypothesis that different
typewriters have no effect on the typing speed.
d) What suggestions would you want to offer for policy formulation
in the Department with respect to the typists and typewriters?
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