As the quality engineer for a small chain of fast foodrestaurants called McDowell’s (They’ve got the Big Mac, we’ve gotthe Big Mick), you’re interested in describing the consistency ofthe foodstuffs at a particular branch. In particular, you want todevelop graphical and numerical representations of the (i) weightof and (ii) number of fries in a small bag of McDowell’s fries.You’ll find a sample of 32 bags in the below table.
a. Provide numerical descriptions of the weights and numbers offries in the sample.
b. Calculate and interpret 95% confidence intervals for theweight of a bag of small fries and the number of fries in a bag ofsmall fries.
c. If the target value set by McDowell’s for the weight of asmall order of fries is 2.61 ounces, what might you conclude basedon your sample?
d. As a quality control engineer, what could you do with suchinformation?
| Observation | weight (oz) | number of fries |
| 1 | 2.22 | 30 |
| 2 | 2.38 | 43 |
| 3 | 3.66 | 54 |
| 4 | 2.51 | 70 |
| 5 | 2.28 | 40 |
| 6 | 2.39 | 45 |
| 7 | 2.7 | 46 |
| 8 | 2.98 | 55 |
| 9 | 2.93 | 41 |
| 10 | 2.13 | 40 |
| 11 | 2.14 | 36 |
| 12 | 2.7 | 50 |
| 13 | 2.51 | 52 |
| 14 | 2.45 | 42 |
| 15 | 2.22 | 46 |
| 16 | 2.45 | 43 |
| 17 | 3.27 | 58 |
| 18 | 2.51 | 53 |
| 19 | 2.15 | 37 |
| 20 | 2.23 | 42 |
| 21 | 2.29 | 39 |
| 22 | 2.94 | 55 |
| 23 | 2.72 | 56 |
| 24 | 2.81 | 44 |
| 25 | 2.74 | 56 |
| 26 | 2.92 | 53 |
| 27 | 2.08 | 36 |
| 28 | 2.54 | 52 |
| 29 | 2.71 | 56 |
| 30 | 2.98 | 66 |
| 31 | 2.74 | 51 |
| 32 | 3.1 | 53 |
