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?