29. The amount of shaft wear (.0001 in.) after a fixed mileage was determined for each of n = 8 internal combustion engines having copper lead as a bear- ing material, resulting in x = 3.72 and s= 1.25. a. Assuming that the distribution of shaft wear is normal with mean µ, use the t test at level .05 to test Ho: μ = 3.50 versus H₂: > 3.50. b. Using o = 1.25, what is the type II error prob- ability (u) of the test for the alternative μ' = 4.00?

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29. The amount of shaft wear (.0001 in.) after a fixed
mileage was determined for each of n = 8 internal
combustion engines having copper lead as a bear-
ing material, resulting in x = 3.72 and s = 1.25.
a. Assuming that the distribution of shaft wear is
normal with mean µ, use the t test at level .05 to
test Ho: μ = 3.50 versus Ha: µ > 3.50.
b. Using o = 1.25, what is the type II error prob-
ability (u') of the test for the alternative
μ' = 4.00?
Transcribed Image Text:29. The amount of shaft wear (.0001 in.) after a fixed mileage was determined for each of n = 8 internal combustion engines having copper lead as a bear- ing material, resulting in x = 3.72 and s = 1.25. a. Assuming that the distribution of shaft wear is normal with mean µ, use the t test at level .05 to test Ho: μ = 3.50 versus Ha: µ > 3.50. b. Using o = 1.25, what is the type II error prob- ability (u') of the test for the alternative μ' = 4.00?
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