Discuss the below:
Q1 Many manufacturing processes use the term work-in-process (often abbreviated as WIP). In a book manufacturing plant, the WIP represents the time it takes for sheets from a press to be folded, gathered, sewn, tipped on end sheets, and bound. The following data (stored in the file wip.xls) represent samples of 20 books at each of two production plants and the processing time (operationally defined as the time, in days, from when the books came off the press to when they were packed in cartons) for these jobs:
For each of the two plants, decide whether the data appear to be approximately normally distributed by
a. Comparing data characteristics to theoretical properties.
b. Constructing a normal probability plot.
Q2 The following data, stored in the file utility.xls, represent the electricity costs in dollars, during July 2006 for a random sample of 50 two-bedroom apartments in a large city:
Decide whether the data appear to be approximately normally distributed by
a. Comparing data characteristics to theoretical properties.
b. Constructing a normal probability plot.
Q3 The scheduled commuting time on the Long Island Rail Road from Glen Cove to Ney York City is 65 minutes. Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes. What is the probability that the commuting time will be
a. less than 70 minutes?
b. between 65 and 70 minutes?
c. greater than 65 minutes?
d. What are the mean and standard deviation of the commuting time?
| Utility Charge |
| 96 |
| 171 |
| 202 |
| 178 |
| 147 |
| 102 |
| 153 |
| 197 |
| 127 |
| 82 |
| 157 |
| 185 |
| 90 |
| 116 |
| 172 |
| 111 |
| 148 |
| 213 |
| 130 |
| 165 |
| 141 |
| 149 |
| 206 |
| 175 |
| 123 |
| 128 |
| 144 |
| 168 |
| 109 |
| 167 |
| 95 |
| 163 |
| 150 |
| 154 |
| 130 |
| 143 |
| 187 |
| 166 |
| 139 |
| 149 |
| 108 |
| 119 |
| 183 |
| 151 |
| 114 |
| 135 |
| 191 |
| 137 |
| 129 |
| 158 |
| Processing Time |
Plant |
| 5.62 |
1 |
| 5.29 |
1 |
| 16.25 |
1 |
| 10.92 |
1 |
| 11.46 |
1 |
| 21.62 |
1 |
| 8.45 |
1 |
| 8.58 |
1 |
| 5.41 |
1 |
| 11.42 |
1 |
| 11.62 |
1 |
| 7.29 |
1 |
| 7.5 |
1 |
| 7.96 |
1 |
| 4.42 |
1 |
| 10.5 |
1 |
| 7.58 |
1 |
| 9.29 |
1 |
| 7.54 |
1 |
| 8.92 |
1 |
| 9.54 |
2 |
| 11.46 |
2 |
| 16.62 |
2 |
| 12.62 |
2 |
| 25.75 |
2 |
| 15.41 |
2 |
| 14.29 |
2 |
| 13.13 |
2 |
| 13.71 |
2 |
| 10.04 |
2 |
| 5.75 |
2 |
| 12.46 |
2 |
| 9.17 |
2 |
| 13.21 |
2 |
| 6 |
2 |
| 2.33 |
2 |
| 14.25 |
2 |
| 5.37 |
2 |
| 6.25 |
2 |
| 9.71 |
2 |