In Exercise 9-20, find the boundary of the critical region if the type I error probability…
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Question “In Exercise 9-20, find the boundary of the critical region if the type I error probability…”
In Exercise 9-20, find the boundary of the critical region if the type I error probability is
9-20 A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed with standard deviation 0.25 volt, and the manufacturer wishes to test volts, using n = 8 units.
Answer
(a) Let denote critical values.
The distribution of the sample means is roughly normal with the , and the standard deviation
The z_values which correspond to the critical values are
We find that using the Cumulative Normal Distribution table, we can calculate and. Therefore,
The acceptance zone is therefore
.
. Therefore,
We find
and
in the Cumulative Normal Distribution table. Therefore,
The acceptance zone is therefore
.
(c) n =16.
The zvalues which correspond to the critical values
are
. Therefore,
We find
and
in the Cumulative Normal Distribution table. Therefore,
The acceptance zone is therefore
.
. Therefore,
We find
and
in the Cumulative Normal Distribution table. Therefore,
The acceptance zone is therefore
.
Conclusion
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