7.40 A manufacturer of four-speed clutches for automo- biles claims that the clutch will not fail until after 50,000 miles. (a) Interpreting this as a statement about the mean, formulate a null and alternative hypothesis for verifying the claim. (b) If the true mean is 55,000 miles, what error can be made? Explain your answer in the context of the problem. (c) What error could be made if the true mean is 50.000 miles?

MATLAB: An Introduction with Applications
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7.40 A manufacturer of four-speed clutches for automo-
biles claims that the clutch will not fail until after
50,000 miles.
(a) Interpreting this as a statement about the mean,
formulate a null and alternative hypothesis for
verifying the claim.
(b) If the true mean is 55,000 miles, what error can be
made? Explain your answer in the context of the
problem.
(c) What error could be made if the true mean is
50,000 miles?
Transcribed Image Text:7.40 A manufacturer of four-speed clutches for automo- biles claims that the clutch will not fail until after 50,000 miles. (a) Interpreting this as a statement about the mean, formulate a null and alternative hypothesis for verifying the claim. (b) If the true mean is 55,000 miles, what error can be made? Explain your answer in the context of the problem. (c) What error could be made if the true mean is 50,000 miles?
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