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In a college advising center, students who receive help are asked to fill out a survey to show how satisfied they were with the service

In a college advising center, students who receive help are asked to fill out a survey to show how satisfied they were with the service at the center. One of the questions on the survey asks if the students will use this center in future again. The advising center uses the answers to this question to indicate whether their service was useful and as a factor representing the centers ability to meet students expectation. The number of students (out of 50) who would come back for advice during one semester (16 weeks) are as follows:

Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Number of students using the center again 40 43 44 49 33 48 43 45 40 38 49 44 46 39 45 42

a. Construct a control chart and determine the upper and lower control limits with (z = 3). (Round your answer to three decimal places.)

b. Use median run test to check the randomness in the data (median = 44). Interpret your results. (Round your answer to three decimal places.)

c. Use up/down run test to check the randomness in the data (median = 44). Interpret your results. (Round your answer to three decimal places.)

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