A random sample of companies in electric utilities (I), financial service (II),

Question

A random sample of companies in electric utilities (I), financial service (II), and food processing (III) gave the following information regarding annual profits per employee.

Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies? Use a 1% level of significance.

a) what is the level of significance? state the null and alternative hypothesis.

b) find SSTOT, SSBET,and SSW and check that SSTOT= SSBET+ SSW. Find d.f.BET, d.f.W, MSBET, MSBET and MSW. Find the value of the sample test statistic F (F ratio) What are the degrees of freedom?

c) find the P-value.

d) based on your answers a-c do you reject or fail to reject the null hypothesis?

e) your conlusion.

f) make a summary table for your ANOVA test.

Please show ALL work and equations.

I II III 49.1 55.6 39.0 43.4 25.0 37.3 32.9 41.3 10.8 27.8 29.9 32.5 38.3 39.5 15.8 36.1 42.6 20.2

Explanation / Answer

A random sample of companies in electric utilities (I), financial service (II),

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