Consider the control chart based on control limitsm0 6 2.81 syn.a. What is the ARL when the process is in control?b. What is the ARL when n 5 4 and the process meanhas shifted to m 5 m0 1 s?c. How do the values of parts (a) and (b) compare to thecorresponding values for a 3-sigma chart?

Week 13: 2-Variable Inferential Statistics 29 November 2016 Basic Statistics for Research Professor HK Dong Wendy Liu Hypothesis Testing Errors H 0rue H 0alse Do not reject H0 No error (1-α) Type II error (β) Reject H0 Type I error (α) No error (1-β α – amount of risk that we reject0H that is true 1-α – confidence coefficient – amount of confidence we have that the 0 is true when not rejected 2-population tests Mean o Z test – independent samples o T test – independent samples o Paired t test – paired/matched samples Proportion o Z test Variance o F test