At Burger Joint, consistency in product and service is the new motto. Accordingly, management has invested in an automated French-fry dispenser to replace the manual dispensing method. The goal is to standardize the number of fries provided. The accompanying table shows the number of fries dispensed in a large-sized container based on samples of 10 orders before and after the process change. Assume these samples were drawn randomly and independently from normally distributed populations.

a. Develop the hypotheses to test whether the variance of the new automated dispensing method is lower than the previous manual method.
b. Use Excel's F.TEST function to calculate the p-value.
c. Would your conclusion change at the 1% significance level?

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Manual Method 27 39 29 31 30 37 41 29 38 31 Sample 1) Method 30 35 37 38 34 35 35 32 35 32 Sample 2)