Question a) For α=.05 , test the alternative hypothesis that the sewing shop does not meet the company’s manufacturing requirement to have a mean of at least 10 stitches per inch. b) For α=.05 , test the alternative hypothesis that the sewing shop does not meet the company’s manufacturing requirement to have a standard deviation of no more than 1 stitch per inch. note-show all steps and formulas used in EXCEL
A high-end clothing company wants its garments to have fine stitching, but also for the stitching to be very consistent. The company’s manufacturing standard is a mean of at least 10 stitches per inch, with a standard deviation of no more than 1 stitch per inch. The company needs additional manufacturing capacity and has identified a local sewing shop as a possible supplier. Quality control personnel from the clothing company visited the sewing shop and checked the stitching on a random sample of 40 garments, which are recorded below.
| Stitches/Inch |
| 11 |
| 8 |
| 12 |
| 10 |
| 11 |
| 11 |
| 11 |
| 10 |
| 9 |
| 9 |
| 10 |
| 8 |
| 9 |
| 9 |
| 8 |
| 8 |
| 10 |
| 12 |
| 8 |
| 8 |
| 11 |
| 7 |
| 11 |
| 9 |
| 12 |
| 7 |
| 10 |
| 10 |
| 9 |
| 8 |
| 10 |
| 9 |
| 10 |
| 11 |
| 10 |
| 7 |
| 12 |
| 9 |
| 9 |
| 9 |
Question a) For α=.05 , test the alternative hypothesis that the sewing shop does not meet the company’s manufacturing requirement to have a mean of at least 10 stitches per inch.
b) For α=.05 , test the alternative hypothesis that the sewing shop does not meet the company’s manufacturing requirement to have a standard deviation of no more than 1 stitch per inch.
note-show all steps and formulas used in EXCEL
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