Problem: An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. The manufacturer knows that the thinner sheets would be unsafe and considerably thicker sheets would be too heavy. A random sample of 100 sheets from a potential supplier is collected. The thickness of each sheet in this sample is measured (in inches) and recorded below.
Based on the results of an appropriate hypothesis test, should the aircraft manufacturer buy aluminum sheets from this supplier. Explain why or why not?
| Sheet |
Thickness |
| 1 |
0.0403 |
| 2 |
0.0693 |
| 3 |
0.0632 |
| 4 |
0.0651 |
| 5 |
0.0534 |
| 6 |
0.0574 |
| 7 |
0.0400 |
| 8 |
0.0515 |
| 9 |
0.0542 |
| 10 |
0.0555 |
| 11 |
0.0512 |
| 12 |
0.0525 |
| 13 |
0.0434 |
| 14 |
0.0392 |
| 15 |
0.0607 |
| 16 |
0.0575 |
| 17 |
0.0637 |
| 18 |
0.0358 |
| 19 |
0.0455 |
| 20 |
0.0319 |
| 21 |
0.0578 |
| 22 |
0.0488 |
| 23 |
0.0402 |
| 24 |
0.0318 |
| 25 |
0.0447 |
| 26 |
0.0306 |
| 27 |
0.0325 |
| 28 |
0.0542 |
| 29 |
0.0416 |
| 30 |
0.0517 |
| 31 |
0.0448 |
| 32 |
0.0520 |
| 33 |
0.0495 |
| 34 |
0.0525 |
| 35 |
0.0618 |
| 36 |
0.0571 |
| 37 |
0.0391 |
| 38 |
0.0655 |
| 39 |
0.0568 |
| 40 |
0.0370 |
| 41 |
0.0505 |
| 42 |
0.0425 |
| 43 |
0.0611 |
| 44 |
0.0491 |
| 45 |
0.0574 |
| 46 |
0.0603 |
| 47 |
0.0420 |
| 48 |
0.0616 |
| 49 |
0.0463 |
| 50 |
0.0340 |
| 51 |
0.0609 |
| 52 |
0.0457 |
| 53 |
0.0409 |
| 54 |
0.0367 |
| 55 |
0.0713 |
| 56 |
0.0576 |
| 57 |
0.0515 |
| 58 |
0.0549 |
| 59 |
0.0325 |
| 60 |
0.0470 |
| 61 |
0.0203 |
| 62 |
0.0379 |
| 63 |
0.0442 |
| 64 |
0.0384 |
| 65 |
0.0409 |
| 66 |
0.0358 |
| 67 |
0.0442 |
| 68 |
0.0538 |
| 69 |
0.0486 |
| 70 |
0.0317 |
| 71 |
0.0529 |
| 72 |
0.0449 |
| 73 |
0.0437 |
| 74 |
0.0384 |
| 75 |
0.0400 |
| 76 |
0.0397 |
| 77 |
0.0486 |
| 78 |
0.0296 |
| 79 |
0.0548 |
| 80 |
0.0407 |
| 81 |
0.0552 |
| 82 |
0.0412 |
| 83 |
0.0425 |
| 84 |
0.0371 |
| 85 |
0.0590 |
| 86 |
0.0398 |
| 87 |
0.0600 |
| 88 |
0.0589 |
| 89 |
0.0496 |
| 90 |
0.0509 |
| 91 |
0.0427 |
| 92 |
0.0481 |
| 93 |
0.0512 |
| 94 |
0.0504 |
| 95 |
0.0467 |
| 96 |
0.0253 |
| 97 |
0.0195 |
| 98 |
0.0471 |
| 99 |
0.0464 |
| 100 |
0.0529 |