In: Statistics and Probability
An operations manager of a large firm is studying the monthly sales (in $’000) of three subsidiary companies over a six-month period as given in the table below.
Company A |
Company B |
Company C |
152 |
148 |
150 |
135 |
158 |
148 |
130 |
136 |
126 |
142 |
138 |
128 |
125 |
140 |
140 |
128 |
127 |
135 |
At the 0.01 significance level, can we conclude that there is a difference in the means of monthly sales of the three subsidiary companies over a six-month period?
a) State the null hypothesis and alternative hypothesis.
b) Calculate the level of significance, critical value and rejection region
c) State the decision rule.
d) Compute F test statistics.
e) Based on the calculations above, what is the conclusion which can be made?