In: Statistics and Probability
(Use R) For the next n = 20 observations coming from a certain
population
0:076357441; 0:165254709; 0:054148344; 0:015440066;
0:070112429;
0:063968165; 0:013389992; 0:033028765; 0:040745564;
0:196315217;
0:021880427; 0:030107953; 0:049859409; 0:017333472;
0:053670154;
0:048490605; 0:010339937; 0:096573528; 0:006190141;
0:041041448:
(i) Draw a histogram and boxplot.
(ii) Use the following commands
>qqplot(qexp(ppoints(length(x))), x)
>qqplot(qnorm(ppoints(length(x))), x)
>qqplot(qunif(ppoints(length(x))),x)
to discuss the distribution you may suggest for this data
set.
(iii) Find the ve-number summary for this data set.
(iv) Find the interquartile range.
(v) Check for any possible outlier.
(vi) Find the mean and the standard deviation (i.e., x and s) for
this data set. Check what percentage
of the data values fall within each of the following
intervals.
(x ? s; x + s); (x ? 2s; x + 2s):
Can you please explain the distribution and how to do part (vi)?