6 Questions_Decision-Making Using Two-Sample Hypothesis Testing and ANOVA

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1) What advantages does ANOVA has over the t-test?

2)What can ANOVA do that the t-test can’t do? In what ways are the requirements for using ANOVA different from those for t-test?

3)How is a two-way ANOVA design different from a One-way ANOVA design? Give examples for each.

4)How do you compute the F-ratio for ANOVA problems?

5)What does ANOVA with F-ratio of 1.0, less than 1.0 or more than 1.0 tell you? Explain using your own example.

6)Joanna Lewis manages a regional financial center. She wishes to compare the productivity, as measured by the number of customers served, among three employees. Four days are randomly selected and the number of customers served by each employee is recorded. The results are:

Number of customers served by Three Employees in Four Days

Employee 1

Employee 2

Employee 3

55

66

47

54

76

51

59

67

46

56

71

48

Is there a difference in mean productivity level among the three employees? Test at 0.05 level of significance using ANOVA One-Way Design. Use Excel > Data >Data Analysis > ANOVA single factor function.

Anova: Single Factor

(Use Excel, Data, Data Analysis, ANOVA: Single Factor function)

SUMMARY

Groups

Count

Sum

Average

Variance

Employee 1

Employee 2

Employee 3

ANOVA

Source of Variation

Between Groups

Within Groups

Total

Write Ho & H1:

Reject or Not Reject Ho?

Conclusion:

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