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

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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

Expert Solution
Step 1

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 n1 be the number of weights in without MBA group; that is; n1=9.

Let n2 be the number of weights in with MBA group; that is; n2=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.

Step 2
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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