A random sample of six employees assigned to each of the three departments showed the number...

A random sample of six employees assigned to each of the three departments showed the number of days absence because of illness during the year: Employee Radiology Laboratory Dietary 1 9 4 10 2 6 2 13 3 7 3 11 4 5 6 9 5 8 5 8 6 7 1 12 if α = 0.05, determine whether the differences among the departments are significant.

1) Identify the null hypothesis.

2) Identify the alternative hypothesis.

3) Determine the value of the F test statistic.

4) Identify the P-value.

5) State a conclusion about the null hypothesis.

6) State a final conclusion that addresses the original claim.

Solutions

Expert Solution

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

3.The value of the F test statistic = 24.5

4. P-value = 0

5. Since P-value < 0.05, so we reject H₀ at 5% level of significance.

6. Final conclusion : There is significant difference in average number of days absence due to three departments.

orchestra answered 1 year ago

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