At Suntronic, you are responsible for selecting the manufacturing ...

1. [50points] At Suntronic, you are responsible for selecting the manufacturing process that yields intraocular lens with the least variability/variance in terms of optical power (diopters). At this point, you don’t know which (if either) process yields samples with a higher variance (hint: pick correct alternate hypothesis). Are you able to select the process with the least variance with 98% confidence? Write both the null and alternate hypotheses. The descriptive statistics are as follows:

a. Fabrication Process 1: S1 = 0.22 diopters, n1 = 31

b. Fabrication Process 2: S2 = 0.29 diopters, n2 = 21

2. [50points] Now assume you know that Fabrication Process 1 should yield samples with less variance in optical power according to the fundamentals of the manufacturing process (hint: pick correct alternate hypothesis). Based on your sampling, are you able to confirm that Fabrication Process 1 has the least variance with 95% confidence? Write both the null and alternate hypotheses. The descriptive statistics are as follows:

a. Fabrication Process 1: S1 = 0.22 diopters, n1 = 31

b. Fabrication Process 2: S2 = 0.29 diopters, n2 = 21