In an experiment to measure the lifetimes of parts manufactured from a certain a

Question

In an experiment to measure the lifetimes of parts manufactured from a certain aluminum alloy, 73 parts were loaded cyclically until failure. The mean number of kilocycles to failure was 768, and the standard deviation was 172. Let mu represent the mean number of kilocycles to failure for parts of this type. A test is made of H_0: mu lessthanorequalto 750 versus H_1: mu > 750. Either the mean number of kilocycles to failure is greater than 750, or the sample is in the most extreme _____ % of its distribution. If H_0 is true, the sample is in the most extreme _____ % of its distribution.

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of population
H0 : = 750
HA : > 750

Hypothesis test results:

Hence,

If Ho is true, the sample is in most extreme 18.71% of its distribution.

Mean Sample Mean Std. Err. DF T-Stat P-value 768 20.131077 72 0.89413993 0.1871

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