Question
Using the following data (already sorted), use a goodness of fit test to test whether it comes from an exponential distribution. The exponential distribution has
Using the following data (already sorted), use a goodness of fit test to test whether it comes from an exponential distribution. The exponential distribution has one parameter, its mean, (which is also its standard deviation). The exponential distribution is a continuous distribution that takes on only positive values in the interval (0,). Probabilities for the exponential distribution can be found based on the following probability expression: ( ) = . Use 7 equally spaced intervals of width 1 2 starting at 0 for cells, with the 8th cell for all values greater than 3.5.\
Data Display Exp? 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 11.4 11.5 11.7 11.8 11.8 11.9 12.0 12.0 12.1 12.1 12.3 12.3 12.3 12.3 12.6 12.9 13.1 13.3 13.3 13.4 13.5 13.6 13.9 14.0 14.2 14.2 14.3 14.3 14.4 15.0 15.0 15.2 15.6 15.6 15.7 15.7 15.7 15.9 16.0 16.3 16.4 16.5 16.5 16.6 16.6 16.7 17.2 17.3 17.3 17.4 17.7 17.9 18.6 18.8 19.9 19.9 19.9 20.0 20.1 20.3 20.4 21.0 21.3 21.5 22.2 23.3 23.5 23.9 24.3 24.8 25.5 25.5 25.6 25.8 27.5 28.2 30.9 35.7 36.3 37.2 40.9 52.8
Descriptive Statistics: Exp? Variable N Mean Exp? 250 9.974
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