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Use the Given Degree of Confidence and Sample Data to Construct

question 44

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Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ\mu . Assume that the population has a normal distribution.
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s=17.6s = 17.6 milligrams. A confidence interval of 173.8mg<μ<196.2mg173.8 \mathrm { mg } < \mu < 196.2 \mathrm { mg } is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent?


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