A new filtering device is installed in a chemical unit. Before its installation, a random sample yielded

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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: y̅1 = 12.5, S21 = 101.17, and n1 = 8. After installation, a random sample yielded y̅2 = 10.2, S22= 94.73, n2 = 9.

(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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