please show work and explain!

Imagine that you are the personnel manager for the CHARLIE BUCKET CHOCOLATE FACTORY. Your best candy bar (the Sooper Dooper Pecan Treat Candy Roll) is in danger of extinction because the workers on the Sooper Dooper Pecan Treat Candy Roll production line are missing too many pecans on the candy bars. As a result, the pecan lovers of the world have stopped buying the Sooper Dooper Pecan Treat Candy Roll. What you would like to do is have a test that you could give job applicants that would tell you who would be good for the job that is, those individuals who would not miss so many pecans on the bars. You have a test of eye-hand coordination that you think might work. In order to see if this eye-hand coordination test will work, you give the test to 15 current workers in the factory, and you study the job performance of each of these workers. In other words, you have a score for 15 individuals on both the eye-hand coordination test and performance on the Sooper Dooper Pecan Treat Candy Roll production line (i.e., the number of candy bars worked on by each person in one hour that had fewer than 25 pecans) Below are these data: [Please note: the lower the score on this test, the better the individual's eye-hand coordination.] person 1 -2345678 9 10 11 12 13 14 15 Eye-Hand Coordination. Test Scores 25 40 33 18 20 43 48 32 25 30 29 31 # of Candy Bars that had Less Than 25 Pecans 10 Klhol Imagine that there is a man named Samuel C. Davis, Jr. (according to his application, the "C" stands for Candyman) in your outer office who would like a job with your company working on the Sooper Dooper Pecan Treat Candy Roll production line. (Nothing but the best for the Candyman!) You give him the eye-hand coordination test, and he scores a 22 on the test. Judging from the scores presented above, should you hire him? In other words, knowing that he scored a 22 on the eye-hand coordination test, on how many Sooper Dooper Pecan Treat Candy Rolls would you predict he would place fewer than 25 pecans in an hour? How sure can you be of this prediction (using 95% confidence limits)? Imagine that you are the personnel manager for the CHARLIE BUCKET CHOCOLATE FACTORY. Your best candy bar (the Sooper Dooper Pecan Treat Candy Roll) is in danger of extinction because the workers on the Sooper Dooper Pecan Treat Candy Roll production line are missing too many pecans on the candy bars. As a result, the pecan lovers of the world have stopped buying the Sooper Dooper Pecan Treat Candy Roll. What you would like to do is have a test that you could give job applicants that would tell you who would be good for the job that is, those individuals who would not miss so many pecans on the bars. You have a test of eye-hand coordination that you think might work. In order to see if this eye-hand coordination test will work, you give the test to 15 current workers in the factory, and you study the job performance of each of these workers. In other words, you have a score for 15 individuals on both the eye-hand coordination test and performance on the Sooper Dooper Pecan Treat Candy Roll production line (i.e., the number of candy bars worked on by each person in one hour that had fewer than 25 pecans) Below are these data: [Please note: the lower the score on this test, the better the individual's eye-hand coordination.] person 1 -2345678 9 10 11 12 13 14 15 Eye-Hand Coordination. Test Scores 25 40 33 18 20 43 48 32 25 30 29 31 # of Candy Bars that had Less Than 25 Pecans 10 Klhol Imagine that there is a man named Samuel C. Davis, Jr. (according to his application, the "C" stands for Candyman) in your outer office who would like a job with your company working on the Sooper Dooper Pecan Treat Candy Roll production line. (Nothing but the best for the Candyman!) You give him the eye-hand coordination test, and he scores a 22 on the test. Judging from the scores presented above, should you hire him? In other words, knowing that he scored a 22 on the eye-hand coordination test, on how many Sooper Dooper Pecan Treat Candy Rolls would you predict he would place fewer than 25 pecans in an hour? How sure can you be of this prediction (using 95% confidence limits)