A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than 5000 hours. To test the claim, a statistician took a random sample of 100 bulbs and measured the amount of time until each bulb burned out. If we assume that the lifetime of this type of bulb has a standard deviation of 400 hours, can we conclude at the 5% significance level that the claim is true?
Bulbs:
4531 |
| 4061 |
| 5361 |
| 4805 |
| 5334 |
| 5128 |
| 5129 |
| 5058 |
| 4592 |
| 4445 |
| 5141 |
| 4878 |
| 5525 |
| 4686 |
| 4908 |
| 4550 |
| 4957 |
| 5496 |
| 4277 |
| 5012 |
| 4933 |
| 5237 |
| 4891 |
| 5427 |
| 5486 |
| 5287 |
| 4791 |
| 4789 |
| 4916 |
| 4508 |
| 5208 |
| 4316 |
| 4354 |
| 5088 |
| 4420 |
| 4968 |
| 5105 |
| 4980 |
| 4842 |
| 5067 |
| 4877 |
| 5486 |
| 5271 |
| 5461 |
| 5469 |
| 4335 |
| 5338 |
| 5454 |
| 5132 |
| 5220 |
| 5490 |
| 5054 |
| 5167 |
| 5057 |
| 5725 |
| 5202 |
| 4393 |
| 5273 |
| 5244 |
| 4966 |
| 4918 |
| 5820 |
| 5493 |
| 5007 |
| 5156 |
| 5651 |
| 5243 |
| 5012 |
| 5122 |
| 5855 |
| 4623 |
| 5269 |
| 5374 |
| 5140 |
| 4716 |
| 4714 |
| 5016 |
| 5371 |
| 5267 |
| 5796 |
| 5034 |
| 5356 |
| 6046 |
| 5193 |
| 4670 |
| 4542 |
| 5034 |
| 3872 |
| 4951 |
| 5103 |
| 5631 |
| 5250 |
| 4768 |
| 4299 |
| 5032 |
| 5483 |
| 5570 |
| 5235 |
| 4943 |
| 5820 |