Question

Conduct an ANOVA analysis for the wages/salaries of three categories of workers in your firm. Clearly,...

Conduct an ANOVA analysis for the wages/salaries of three categories of workers in your firm. Clearly, indicate the F-Statistic and the Critical Value and their meanings

Wages

Total

1

2

3

Salaries

Managers

150000

148000

137000

435000

Engineers

120000

117500

98000

335500

Officers

80000

78000

50000

208000

Total

350000

343500

285000

.

Homework Answers

Answer #1

Using Minitab software, (Stat -> ANOVA -> One way), we get the following output :

The test statistic can be written as

which under H0 follows a F distribution with df = (df(Categories), df(Error)) = (2,6)

We reject H0 at 5% level of significance if

Now,

The value of F statistic Fobs = 27.23

and critical value

Since , we reject H0 at 5% level of significance and we can conclude that salaries of different categories workers are significantly different.

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