Directions: Type your responses to each question in a Word or pdf document. Hand-written work will not be accepted. All analysis should be completed using JMP. Type all answers and use JMP-generated tables and graphs in a single Word/pdf document.
Show all steps and all work. You may assume an alpha level of 0.05 unless otherwise noted. To answer each question, copy the output from JMP, showing enough detail to understand the analysis setup and the critical output used to answer the question. Then, type your answer based on this output, even if it means repeating the same numbers shown in the JMP output. This is your formal answer, supported by analysis in JMP.
Exception: you do not need to write out equations and numbers for finding means and standard deviations.
Submitting your assignment: Upload one Word document to Moodle by the due date indicated on the course schedule. The file name must be in the following format: LastNameFirstInitial_JMP1.docx or LastNameFirstInitial_JMP1.pdf (10% penalty otherwise).
Problem 1 (38 points total): Ten workers complete a training program, and their productivity was measured before and after. The scores before and after, and improvement in productivity are shown in the table.
Worker # Before After Improvement
1 95 105 10
2 97 111 14
3 94 106 12
4 103 106 3
5 97 104 7
6 98 105 7
7 95 102 7
8 100 106 6
9 95 102 7
10 105 111 6
a. (4 points) What is the mean and standard deviation of productivity before and after the training? (Calculate these in JMP and show the JMP output.)
b. (9 points) Was there any improvement in productivity after training? Show your JMP output, and use formal hypothesis testing to determine your answer.
c. (4 points) If you made a Type I error in part b, explain how your conclusion would differ from reality, and one potential negative consequence of this error.
d. (5 points) If you were to model improvement, could you say improvement in productivity is normally distributed? Provide an explanation, including numbers, using JMP output.
e. (6 points) Find the 95% confidence interval on improvement. What could you tell upper management about the expected change in productivity as a result of the training?
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