Use Non-parametric tests to conclude on the following data. Conclude whether the performance of managers (with or without MBA) are significantly different. Weight Group Weight Group 1.550 Without MBA 1.500 With MBA 1.679 Without MBA 1.541 With MBA 1.759 Without MBA 1.875 With MBA 1.900 Without MBA 1.710 With MBA 1.890 Without MBA 1.750 With MBA 1.990 Without MBA 1.770 With MBA 1.995 Without MBA 1.890 With MBA 2.000 Without MBA 1.980 With MBA 2.125 Without MBA 1.900 With MBA
Use Non-parametric tests to conclude on the following data.
Conclude whether the performance of managers (with or without MBA) are significantly different.
Weight |
Group |
|
Weight |
Group |
1.550 |
Without MBA |
|
1.500 |
With MBA |
1.679 |
Without MBA |
|
1.541 |
With MBA |
1.759 |
Without MBA |
|
1.875 |
With MBA |
1.900 |
Without MBA |
|
1.710 |
With MBA |
1.890 |
Without MBA |
|
1.750 |
With MBA |
1.990 |
Without MBA |
|
1.770 |
With MBA |
1.995 |
Without MBA |
|
1.890 |
With MBA |
2.000 |
Without MBA |
|
1.980 |
With MBA |
2.125 |
Without MBA |
|
1.900 |
With MBA |
Given: The statistical hypothesis that will be formed are:
H0: The performance of managers (with or without MBA) are same.
H1: The performance of managers (with or without MBA) are significantly different.
Let be the number of weights in without MBA group; that is; =9.
Let be the number of weights in with MBA group; that is; =9.
In this case two independent populations and the assumption of normality of both the populations is not given so we should use Mann Whitney U test.
To perform the Mann Whitney test, we combine the observations of two independent samples (without MBA and with MBA) and arrange the data in ascending order. After that we rank all these combined observations from smallest to largest.
Without MBA | Ranks | WIth MBA | Ranks |
1.550 | 3 | 1.500 | 1 |
1.679 | 4 | 1.541 | 2 |
1.759 | 7 | 1.875 | 9 |
1.900 | 12.5 | 1.710 | 5 |
1.890 | 10.5 | 1.750 | 6 |
1.990 | 15 | 1.770 | 8 |
1.995 | 16 | 1.890 | 10.5 |
2.000 | 17 | 1.980 | 14 |
2.125 | 18 | 1.900 | 12.5 |
Total | S=103 |
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