Part 1 of 5

An image of a quality control manager envisioning the new manufacturing process.

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:

99.799.495.899.7101
99.298.99998.198.6
99.699.4

(Note: The average and the standard deviation of the data are respectively 99.03 mg and 1.24 mg.)

Production Line 2:

99.399.297.599.999.5
10099.698.5100101.2
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)