SOLUTION: Find the 99% confidence interval for the variance and standard deviation of the weights of 25 one-gallon containers of motor oil if a sample of 14 containers has a variance of 3.2.
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Question 262250: Find the 99% confidence interval for the variance and standard deviation of the weights of 25 one-gallon containers of motor oil if a sample of 14 containers has a variance of 3.2. The weights are given in ounces. Assume the variable is normally distributed. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find the 99% confidence interval for the variance and standard deviation of the weights of 25 one-gallon containers of motor oil if a sample of 14 containers has a variance of 3.2. The weights are given in ounces. Assume the variable is normally distributed.
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Formula [(n-1)s^2/Chi^2(right)] < sigma^2 < [(n-1)s^2/Chi^2(left)]
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99% CI: [13*3.2/29.82] < sigma^2 < [13*3.2/3.565]
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99% CI: 1.3950 < sigma^2 < 11.6690
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99% CI: 1.1380 < sigma < 3.4160
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Cheers,
Stan H.
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