4-57. The life in hours of a biomedical device under devel- opment in the laboratory is known to be approximately nor- mally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sam- ple standard deviation of 226.1 hours. (a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach. (b) Construct a 95% lower confidence bound on the mean. (c) Use the confidence bound found in part (b) to test the hypothesis.

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4-57. The life in hours of a biomedical device under devel-
opment in the laboratory is known to be approximately nor-
mally distributed. A random sample of 15 devices is selected
and found to have an average life of 5625.1 hours and a sam-
ple standard deviation of 226.1 hours.
(a) Test the hypothesis that the true mean life of a biomedical
device is greater than 5500 using the P-value approach.
(b) Construct a 95% lower confidence bound on the mean.
(c) Use the confidence bound found in part (b) to test the
hypothesis.
Transcribed Image Text:4-57. The life in hours of a biomedical device under devel- opment in the laboratory is known to be approximately nor- mally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sam- ple standard deviation of 226.1 hours. (a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach. (b) Construct a 95% lower confidence bound on the mean. (c) Use the confidence bound found in part (b) to test the hypothesis.
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