3. Using the following data (already sorted), use a goodness of fit test to test whether it comes from an exponential

[answerhappygod]

3. 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, μ (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:
PY≤y=1-
e-yμ
.
Use 7 equally spaced
intervals of width 12μ starting at 0
for cells, with the 8th cell for all values greater than
3.5μ.
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