As the quality engineer for a small chain of fast food restaurants called McDowell's (They've got the Big Mac, we've got the Big Mick), you're interested in describing the consistency of the foodstuffs at a particular branch. In particular, you want to develop graphical and numerical representations of the (i) weight of and (ii) number of fries in a small bag of McDowell's fries. You'll find a sample of 32 bags at the bottom of this page. (adapted from [Watkins et al. 2011])
Provide graphical depictions of both the weights and numbers of fries in the sample.
Provide numerical descriptions of the weights and numbers of fries in the sample.
Calculate and interpret 95% confidence intervals for the weight of a bag of small fries and the number of fries in a bag of small fries.
If the target value set by McDowell's for the weight of a small order of fries is 2.61 ounces, what might you conclude based on your sample?
As a quality control engineer, what could you do with such information?
| 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 |