Question

Here is a data set of 10 points: 0.8027511 0.2906764 0.5842545 3.2468615 1.6663418 1.8317143 1.5108914 0.3690507 0.4350530 1.1398507 What is the mean, variance, and standard deviation of the sample? Include confidence limits with your estimates. Does the data fit a normal distribution? Does the data fit an exponential distribution? To determine if the data fits a given distribution, I would suggest a plot.

Answer 1

using Shapiro-Wilk normality test

shapiro.test tests the NULL hypothesis that the samples came from a Normal distribution. This means that if your p-value <= 0.05, then you would reject the NULL hypothesis that the samples came from a Normal distribution

after calculation we get

W = 0.87438,

p-value = 0.1124

so we accept the null hypothesis the data come from exponential distribution