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A computer information system professor is interested in studying the amount of time it takes,students enrolled in the introduction to computers course to write and run a program in visual,basic. The professor hires you to analyze the following results (in minutes) from a random,sample of nine students.,10 13 9 15 12 13 11 13 12,a. At the 0.05 level if significance, is there evidence that the population mean amount is greater than 10 minutes? What will you tell the professor?,b. Suppose that the professor, when checking her results, realizes that the fourth student needed 51 minutes to write and run the Visual Basic program. At the 0.05 level of significance, reanalyze the question posed in (a), using the revised data. What will you tell the professor now?,c. The professor is perplexed by these paradoxical results and requests an explanation from you regarding the justification for the difference in you finding in (a) and (b). Discuss.,d. A few days later, the professor calls to tell you that the dilemma is completely resolved. The original number 15 (the fourth data value) was correct, and therefore your finding in (a) are being used in the article she is writing for a computer journal. Now she wants to hire you to compare the result from that group of introduction to computers against those from a sample of 11 computer majors in order to determine whether there is evidence that computer majors can write Visual Basic program in less time than introductory students. For the computer majors, the sample mean is 8.5 minutes, and the sample standard deviation is 2.0 minutes. At the 0.05 level of significance, completely analyze these data. What do you tell you professor?,