Create a title page that includes your student number.Use gretl to generate 1,000 observations from the uniform distribution that ranges from 0 to 45 and name the variable U1.Use gretl to generate ano

Create a title page that includes your student number.Use gretl to generate 1,000 observations from the uniform distribution that ranges from 0 to 45 and name the variable U1.Use gretl to generate another 1,000 observations from the uniform distribution that ranges from 0 to 45 and name the variable U2.Create a new variable S2 that is equal to the mean of U1 and U2. This variable contains 1,000 samples of the mean of two uniform variables. Now, you have 1,000 samples of the mean of two uniform variables. [Tip: To create a new variable such as S2 right-click in gretl, select ‘Define new variable’ and type S2 = (U1 + U2)/2]Make a histogram for S2. Include a copy of the histogram in your assignment with a properly labelled x- and y-axis. Describe the distribution in two or three sentences. Be sure to comment on the shape, center and spread. Incorporate statistics whenever appropriate.Use gretl to generate 1,000 observations from the uniform distribution that ranges from 0 to 45 ten more times and name the variables U3 through U12.Create a new variable S12 that is equal to the mean of U1 through U12. Now, you have 1,000 samples of the mean of twelve uniform variables.Make a histogram of S12. Include a copy of the histogram in your assignment with a properly labelled x- and y-axis. Describe the distribution in two or three sentences. Be sure to describe the shape, center and spread. Incorporate statistics whenever appropriate.In general, explain the effect of increasing the sample size from 2 to 12 using the results you have found in this assignment. Be sure to comment on the shape, center and spread. Incorporate statistics whenever appropriate.