Please perform a hypothesis test for each distribution I nee

Please perform a hypothesis test for each distribution. I need to find the distribution that best represents the data USING MATLAB. Show codes in full that work with hypothesis test results and how it is done.

Data:

20.391
9.959
13.102
13.811
15.746
14.084
8.735
10.518
9.766
17.73
6.934
12.314
11.213
18.283
11.628
12.409
9.69
17.334
11.3
12.613
9.268
14.68
11.446
11.603
9.694
7.839
10.238
13.443
10.238
9.904
17.004
19.388
28.957
24.048
10.754
12.024
13.709
13.308
10.238
9.506
22.093
16.487
8.837
36.064
14.292
13.027
12.255
16.119
17.025
15.931
14.808
14.909
13.701
16.442
12.255
14.292
10.961
16.442
17.331
22.195
17.331
14.292

0.1 0.09 0.08 0.07 Dia data Logistic Logistic Distribution: Logistic likelihood: -181.911 Domain: Mean: Variance: 20.2356 Inf

Solution

First, copy the data and follow the following steps:

x <- read.csv(\"clipboard\",header=F)

install.packages(\"glogis\")

library(glogis)

plot(glogisfit(x$V1))

install.packages(\"ghyp\")

library(\"ghyp\")

hist(x$V1,freq=F,ylim=c(0,0.13))

lines(fit.NIGuv(x$V1))

Answer given from from R software.