Ex #1: The industrial world shares this common goal: Improve quality by reducing variation. Quality control engineers want to ensure that a product has an acceptable mean, but they also want to produce items of consistent quality so that there will be few defects. The Newport Bottling Company had been manufacturing cans of cola with amounts having a standard deviation of 0.051 oz. A new bottling machine is tested, and a simple random sample of 24 cans results in the amounts (in ounces) listed below. (Those 24 amounts have a standard deviation of s = 0.039 oz). Use a 0.05 significance level to test the claim that cans of cola from the new machine have amounts with a standard deviation that is less than 0.051 oz. 11.98 11.98 11.99 11.98 11.90 12.02 11.99 11.93 12.02 12.02 12.02 11.98 12.01 12.00 11.99 11.95 11.95 11.96 11.96 12.02 11.99 12.07 11.93 12.05 --Check requirements: simple random sample, histogram & normal quantile plot show that the sample appears to come from a population with a normal distribution --Critical value method of testing hypotheses: Step 1: The original claim: Step 2: If the original claim is false, then Step 3: Ho: H1: Step 4: The significance level is