A linear rotary bearing is designed so that the distance between the retaining rings is 0 875 inch The quality control manager suspects that the manufacturing process needs to be recalibrated because the mean distance between the retaining rings is greater than 0 875 inch In a random sample of 36 bearings, he nds the sample mean distance between the retaining rings is 0 876 inch with standard deviation 0 005 inch (a) Are the requirements for conducting a hypothesis test satised (b) State the null and alternative hypotheses (c) The quality control manager decides to use an 0 01 level of signicance Why do you think this level of signicance was chosen

Question: A linear rotary bearing is designed so that the distance between the retaining rings is 0.875 inch. The quality-control manager suspects that the manufacturing process

A linear rotary bearing is designed so that the distance between the retaining rings is 0.875 inch. The quality-control manager suspects that the manufacturing process needs to be recalibrated because the mean distance between the retaining rings is greater than 0.875 inch. In a random sample of 36 bearings, he ﬁnds the sample mean distance between the retaining rings is 0.876 inch with standard deviation 0.005 inch.

(a) Are the requirements for conducting a hypothesis test satisﬁed?

(b) State the null and alternative hypotheses.

(c) The quality-control manager decides to use an α = 0.01 level of signiﬁcance. Why do you think this level of signiﬁcance was chosen?

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a The hypotheses are H 0 P 0733 versus H 1 p 0733 b np 0 1p 0 100 0733 10733 1957 ... View full answer

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