4) An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. The manufacturer knows that significantly 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 for each sheet in this sample is measured (in inches) and the data appears in the Thickness worksheet of the W9 Hypothesis Test HW data workbook on Moodle. a) What is the appropriate null and alternate hypothesis to conclude the average thickness is less than 0.05? b) Use JMP to test the hypothesis of part a). c) Using a = 0.05, draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem. d) Using this data, what is the smallest value that you can conclude the average thickness is less than at a = 0.05?
4) An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. The manufacturer knows that significantly 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 for each sheet in this sample is measured (in inches) and the data appears in the Thickness worksheet of the W9 Hypothesis Test HW data workbook on Moodle. a) What is the appropriate null and alternate hypothesis to conclude the average thickness is less than 0.05? b) Use JMP to test the hypothesis of part a). c) Using a = 0.05, draw a conclusion for the hypothesis test. Make sure you state your conclusion in the context of the problem. d) Using this data, what is the smallest value that you can conclude the average thickness is less than at a = 0.05?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
| 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 |
Transcribed Image Text:4) An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05
inch. The manufacturer knows that significantly 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 for each sheet in this sample is measured (in
inches) and the data appears in the Thickness worksheet of the W9 Hypothesis Test HW
data workbook on Moodle.
a) What is the appropriate null and alternate hypothesis to conclude the average
thickness is less than 0.05?
b) Use JMP to test the hypothesis of part a).
c) Using a = 0.05, draw a conclusion for the hypothesis test. Make sure you state your
conclusion in the context of the problem.
d) Using this data, what is the smallest value that you can conclude the average thickness
is less than at a = 0.05?
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