In testing a computer component, it is found that the mean time between failures
ID: 3129937 • Letter: I
Question
In testing a computer component, it is found that the mean time between failures is 937 hours. A modification is made meant to increase reliability by increasing time between failures. Test on a sample of 26 modified components produce a mean of 983 hours with a standard deviation of 52 hours. At the 0.01 level of significance test the claim that the modified components have a longer mean time between failures. The correct statement for the claim in this test is: Ho u > 937 H1 u > 983 H1 u > 937 Ho u > 983 2) The critical value for this test is 2.575 2.485 2.33 2.060 3) The test statistic for this test is 4.51 -4.51 5.31 -5.31 4) The conclusion is Fail to reject Ho says that there is insufficient evidence to support the claim that the modified components have a longer mean time between failures. Fail to reject Ho which says there is insufficient evidence to warrent rejection of the claim that the modified component have a longer mean time between failures. Reject Ho which says there is sufficient evidence to support the claim that the modified components have a longer mean time between failures. Reject Ho which says there is sufficient evidence to warrent rejection of the claim that the modified components have a longer mean time between failures
Explanation / Answer
H1 u > 937
critical value=t(0.99,25)=2.485
test statistics=(983-937)/(52/sqrt26)=4.51
4 conclusion is Reject Ho which says there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.
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