Part 1 of 5

A pharmaceutical company is about to launch a new manufacturing process in addition to the existing one. The quality control manager believes that the new method results in a different variation in the weights of the capsules. To verify the claim, the samples from each production line were obtained and the results are below (in mg):
Production Line 1:
| 99.7 | 99.4 | 95.8 | 99.7 | 101 |
| 99.2 | 98.9 | 99 | 98.1 | 98.6 |
| 99.6 | 99.4 |
(Note: The average and the standard deviation of the data are respectively 99.03 mg and 1.24 mg.)
Production Line 2:
| 99.3 | 99.2 | 97.5 | 99.9 | 99.5 |
| 100 | 99.6 | 98.5 | 100 | 101.2 |
| 100.5 |
(Note: The average and the standard deviation of the data are respectively 99.56 mg and 0.982 mg.)
Use a 10% significance level to test the claim that the standard deviation of the capsule weights in the production line 1 is different from the standard deviation of the capsule weights in the production line 2. If normality plots are not provided assume that the samples are from normal populations.
Procedure:
Assumptions: (select everything that applies)
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