Question
In: Statistics and Probability
A manufacturer is interested in the output voltage of a power supply used in a PC....
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 V, and the manufacturer wishes to test H0: μ = 9 V against H1: μ ≠ 9 V with a sample of n = 10 units.
(a) The critical region is defined as , find the type I error probability α.
(b) Find the power of the test for detecting a true mean output voltage of 9.1 V.
c) Find the type I error probability α and the power of the test when n = 16 batches and the boundaries of the critical region do not change.
(d) Suppose that the process engineer wants the type I error probability for the test to be α = 0.05. Where should the critical region be located?
Solutions
orchestra answered 2 years agoRelated Solutions
A manufacturer is interested in the output voltage of a power supply used in a PC....
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. The manufacturer
wishes to test H0: μ=5 volts against H1: μ≠5
volts using α=0.10. Suppose a sample size of 8 power supply units
is used and you are interested in computing the probability the
test will fail to detect a true mean output voltage of 5.1 volts.
What is the appropriate...
Problem 4. A high-voltage power supply should have a nominal output voltage of 350 V. A...
Problem 4. A high-voltage power supply should have a nominal
output voltage of 350 V. A sample of four units is selected each
day and tested for process-control purposes. The data (see sheet
Problem4 in Homework 4.xlsx) give the difference between the
observed reading on each unit and the nominal voltage times ten;
that is, ?? = (observed voltage on unit ? - 350)*10 (a) Set up ?̅
and ? charts on this process. Is the process in statistical
control?...
A high-level voltage power supply should have a nominal output voltage of 350 V. A sample...
A high-level voltage power supply should have a nominal output
voltage of 350 V. A sample of four units is selected each day and
tested for process-control purposes. The data (20 days, 1
sample/day) shown in the table below give the difference between
the observed reading on each unit and the nominal voltage times
ten; that is, xi = (observed voltage on unit
350)*10.
Voltage Data
Voltage Data
Sample #
xi
Sample #
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1
6
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8
1
9...
A quality control engineer wishes to estimate the mean output voltage of a DC power supply...
A quality control engineer wishes to estimate the mean output
voltage of a DC power supply for different loads. The engineer
measures output voltage when the supply is connected to 11
different loads and computes a mean 98.4 V and standard deviation 7
V. Assume that the output voltages follow a normal
distribution.
(a) Construct and interpret the 99.9% confidence interval.
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The output voltage of a power supply unit has an unknown distribution. Using a sample size...
The output voltage of a power supply unit has an unknown
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V, 8.37 V, 10.44 V, 9.25 V 9.38 V and 10.85 V. Let µ and
σ2 denote the mean and the variance of the
output voltage of the power supply unit. (a)...
An AC power supply produces a maximum voltage ΔVmax = 88 V. This power supply is...
An AC power supply produces a maximum voltage ΔVmax = 88 V. This
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(a) What is the reading on the
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A
(b) What is the reading on the voltmeter?
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For a power supply with full wave bridge rectifier, input
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A power supply produces voltage described as V= 100sin(60t). what is the average value of this...
A
power supply produces voltage described as V= 100sin(60t). what is
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The average voltage is supposed to be 0V and then the avg
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A collector-modulated power has a supply voltage of 48V and an average collector current of 600...
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