SOLVE BOTH PARTS WITHOUT USING MATLAB PLEASE AAA Controls makes a switch that is
ID: 3157996 • Letter: S
Question
SOLVE BOTH PARTS WITHOUT USING MATLAB PLEASE
AAA Controls makes a switch that is advertised to activate a warning light if the power supplied to a machine reaches 100 volts. The voltages at which a warning occurs are normally distributed. A random sample of 75 switches is tested, and the mean voltage at which a warning occurs is 98 volts, and the standard deviation was 6 volts.
a. Create a 90% confidence interval on the true mean voltage at which a warning occurs.
b. Create a 95% confidence interval for the variance ^ 2 .
Explanation / Answer
a)
alpha / 2 = 0.05 Z= 1.64
I: 98 +/- 1.64 * 6 / srqt 75
98 +/- 1.136
96.864 < miu < 99.136
b)
alpha / 2 = 0.025 df=74
X^2 74,0.025 = 95.032
X^2 74,0.975 = 48.758
74 * 6^2 / 95.032 < sigma2 < 74 * 6^2 / 48.758
28.03 < sigma^2 < 54.637
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