Question: A manufacturer of door knobs has a production process that is designed to provide a door knob with a target diameter of 9 cm. In

A manufacturer of door knobs has a production process that is designed to provide a door knob with a target diameter of 9 cm. In the past, the standard deviation of the diameter has been 0.135 cm. In an effort to reduce the variation, various studies have resulted in a redesigned process. A sample of 25 door knobs produced under the new process indicates a sample standard deviation of 0.125 cm.

a. At the 0.05 level of significance, is there evidence that the population standard deviation is less than 0.135 cm in the new process?

b. What assumption do you need to make in order to perform this test?

c. Calculate the p-value in part

(a) and interpret its meaning.

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