In an experiment, 18 programmers have developed the same program, where 9 of them have used programming language A and 9 have used language B. Language A is newer and the company is planning to change to language A, if it is better than language B. During the development, the total development time (in hour) to develop the program is one of the variables being measured. The programmers have been randomly assigned a programming language and the objective of the experiment is to evaluate if the language has any effect on the total development time. The collected data can be found in the following table: Programming Language A B 32 35 37 31 35 29 28 25 41 34 44 40 35 27 31 32 34 31 23 317 284 35.22222 31.55556 24.44444 20.02778 a) Define the hypothesis for the evaluation in quantifiable terms. [2M] b) Do these data present sufficient evidence to indicate that programming using language A is better than using programming language B? State your assumptions to the procedure and use approximation of p-value to conclude your result. [14M] c) Assume that the participating programmers have chosen the programming language themselves. What consequences does this have on the validity of the results? Does the conclusion still hold? [4M]