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a random sample of 16 registered nurses in a large hospital showed that they worked on...

a random sample of 16 registered nurses in a large hospital showed that they worked on average 44.7 hours per week. the standard deviation of the sample was 2.2. estimate the mean of the population with 95% confidence. assume the variable is normally distributed. round intermediate answers to at least three decimal places. round your final answers to one decimal place.

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We know that the 95% confidence interval for true mean is given by:

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