Using the following data (already sorted), use a goodness of fittest to test whether it comes from an exponential distribution. Theexponential distribution has one parameter, its mean, μ(which is also its standard deviation). The exponentialdistribution is a continuous distribution that takes on onlypositive values in the interval (0,∞). Probabilities forthe exponential distribution can be found based on the followingprobability expression:

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Use 10 equally likely cells for your goodnessof fit test.

Data Display

0.2 0.4 0.5 0.5 0.7 0.8 1.0 1.2 1.2 1.2

1.4 1.5 1.5 1.6 1.7 1.7 1.7 1.8 1.8 1.9

2.0 2.3 2.6 2.7 2.7 2.8 2.8 2.8 2.8 2.8

2.8 2.9 2.9 3.0 3.0 3.0 3.2 3.2 3.2 3.4

3.4 3.5 3.6 3.6 3.7 3.8 3.9 3.9 3.9 4.0

4.1 4.1 4.2 4.3 4.5 4.5 4.5 4.6 4.7 4.8

4.8 4.9 4.9 4.9 5.0 5.0 5.1 5.1 5.1 5.3

5.3 5.3 5.3 5.4 5.4 5.4 5.4 5.5 5.5 5.5

5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.8 5.9 5.9

6.0 6.0 6.2 6.2 6.2 6.3 6.3 6.3 6.3 6.4

6.6 6.6 6.6 6.6 6.7 6.8 6.9 6.9 6.9 7.0

7.0 7.1 7.2 7.3 7.3 7.4 7.5 7.5 7.6 7.6

7.7 7.8 7.8 7.9 8.0 8.0 8.0 8.1 8.1 8.1

8.2 8.3 8.4 8.4 8.4 8.5 8.5 8.6 8.6 8.7

8.7 8.8 9.0 9.1 9.1 9.2 9.3 9.4 9.5 9.6

9.6 9.6 9.8 9.9 9.9 9.9 10.0 10.1 10.2 10.5

10.6 10.7 10.7 10.8 10.9 10.9 11.0 11.0 11.411.5

11.7 11.8 11.8 11.9 12.0 12.0 12.1 12.1 12.312.3

12.3 12.3 12.6 12.9 13.1 13.3 13.3 13.4 13.513.6

13.9 14.0 14.2 14.2 14.3 14.3 14.4 15.0 15.015.2

15.6 15.6 15.7 15.7 15.7 15.9 16.0 16.3 16.416.5

16.5 16.6 16.6 16.7 17.2 17.3 17.3 17.4 17.717.9

18.6 18.8 19.9 19.9 19.9 20.0 20.1 20.3 20.421.0

21.3 21.5 22.2 23.3 23.5 23.9 24.3 24.8 25.525.5

25.6 25.8 27.5 28.2 30.9 35.7 36.3 37.2 40.952.8

Descriptive Statistics:

Variable    N   Mean

Exp?      250 9.974