It's about quality control.

IE 380 - Quality Control and Improvement Homework Assignment 1 - Due February 26 1. (20 points) Give two reasons for reducing variability in the product performance. 2. (20 points) Choose a social media platform (e.g., Twitter, Instagram, Clubhouse) and discuss how they could adopt a quality improvement program. Specifically, discuss what their customers want, what the company might measure, and how they could use these measurements. 3. (20 points) of the quality pioneers we discussed (Deming, Juran, Crosby, and Garvin) whose ideas do you think are most applicable to a vaccine manufacturer (e.g.. Sinovac, Pfizer)? Briefly explain why. List at least three specific ideas of the quality pioneer that you choose to support your answer. 4. (40 points) A new drug was administered to a group of 30 randomly selected patients while another group of 30 was given a placebo. After six months, the data on the next page was obtained on their systolic blood pressure, blood glucose level, and total cholesterol level. The distributions are independent and normal across two patient groups and three characteristics. (a) Can we conclude that the mean systolic blood pressure for the control group exceeds 130? Use a = 0.025. (b) Can we conclude that the variance of systolic blood pressure for the treated group is less than 75? Use a = 0.05. (2) Can we conclude that the drug was effective in reducing the mean cholesterol level? Use a = 0.05 and assume the variances are equal. What is the p-value? (d) For the hypothesis test you conducted in part (c), find the type 2 error probability for a true decrease of 5 in the mean cholesterol level. (e) Construct a 95% confidence interval on the ratio of the variances of blood glucose level for the control and treated groups. Just by looking at this confidence interval, can we conclude that the variances are different? Why or why not? 115 150 Control Group Patient Blood Blood Total Number Pressure Glucose Cholesterol 1 145 186 240 2 162 142 235 3 128 122 203 4 116 124 222 5 130 121 219 6 132 116 205 7 110 105 195 8 125 119 216 9 139 226 10 142 132 231 11 154 152 255 12 124 120 235 13 114 118 212 14 136 131 238 15 150 220 255 16 133 135 232 17 129 119 220 18 120 106 234 19 112 117 194 20 146 122 225 21 153 204 256 22 145 182 248 23 126 140 229 24 138 180 240 25 129 135 218 26 122 220 27 141 131 230 28 151 221 256 29 145 121 224 30 130 136 219 Treated Group Blood Blood Total Pressure Glucose Cholesterol 138 183 233 143 150 246 125 119 218 118 126 230 121 132 215 134 108 183 112 102 192 122 107 204 125 105 215 130 133 225 140 233 125 122 222 112 113 214 122 126 230 144 180 250 126 130 224 123 109 231 114 103 238 111 108 204 130 117 220 132 196 242 134 175 240 120 135 206 124 172 231 120 133 204 122 133 216 129 132 224 145 181 251 129 116 219 121 134 205 131