This is R Programming Code. Please don't write it in java,C++ or anything else. ONLY R PROGRAMMING CODE

THIS PROBLEM RQUIRED THE STATISTIC AND R PROGRAMMING EXPERT TO SOLVE

The "paper t table" referred to below is Devore's Table A-5. Accumulate up to 120 points by submitting any combination of the questions below. I might help a little in my feedback, is below. I might help a little in my feedback, 1) Make a vector alphavec to hold the values .10, .05, .. . , .0005 which appear at the top 2) Make another vector nuvec to hold the valucs in the v column of the paper t table. 3) (80 pts) Build the paper t table any way you want. Call it myttable. It w have 7 but not like quiz.z.table. of the paper t table. Remember v is the same thing as df degrees of freedom. columns and 39 rows. Name the rows and columns as in the paper table. 4) (20 pts) We know that as df increases, the t distribution converges to the standard normal distribution. Use R to find the smallest value of df for which the .975 quantile of the t distribution equals the .975 quantile of the standard normal distribution when both are rounded to two decimal places. Use a loop or not for this part 5) (100 pts) Write an R function to answer the previous question for any quantile and any number of decimal places. The "paper t table" referred to below is Devore's Table A-5. Accumulate up to 120 points by submitting any combination of the questions below. I might help a little in my feedback, is below. I might help a little in my feedback, 1) Make a vector alphavec to hold the values .10, .05, .. . , .0005 which appear at the top 2) Make another vector nuvec to hold the valucs in the v column of the paper t table. 3) (80 pts) Build the paper t table any way you want. Call it myttable. It w have 7 but not like quiz.z.table. of the paper t table. Remember v is the same thing as df degrees of freedom. columns and 39 rows. Name the rows and columns as in the paper table. 4) (20 pts) We know that as df increases, the t distribution converges to the standard normal distribution. Use R to find the smallest value of df for which the .975 quantile of the t distribution equals the .975 quantile of the standard normal distribution when both are rounded to two decimal places. Use a loop or not for this part 5) (100 pts) Write an R function to answer the previous question for any quantile and any number of decimal places