new filtering device is installed in a chemical unit. Before its installation, a random sample yielded the following information about the percentage of impurity:      y1 = 13.2, S12 =171.1, and n1= 16 After installation, a random sample yielded:      y2 = 10.1, S22 = 74.7, n2 = 20 a) Can you conclude that the two variances are equal? Use α = 0.05. b) Has the filtering device reduced the percentage of impurity significantly? Use α = 0.05.

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A new filtering device is installed in a chemical unit. Before its installation, a random sample yielded the following information about the percentage of impurity:

     y1 = 13.2, S12 =171.1, and n1= 16

After installation, a random sample yielded:

     y2 = 10.1, S22 = 74.7, n2 = 20

a) Can you conclude that the two variances are equal? Use α = 0.05.
b) Has the filtering device reduced the percentage of impurity significantly? Use α = 0.05.

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