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When constructing a confidence interval estimate for a population mean​ (when the standard deviation of the...

When constructing a confidence interval estimate for a population mean​ (when the standard deviation of the population is​ known), what is the calculation that has to be made to obtain the error​ margin? A. You multiply the number of standard deviations by the standard deviation of the sampling distribution of sample means. B. You subtract the sample mean from the population mean and then divide by the standard deviation of the population. C. You divide the standard deviation of the sampling distribution of sample means by the​ square-root of the sample size. D. You add the​ four-digit decimal associated with the confidence interval to​ 1.000, and then divide the result by 2

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Answer #1

For a confidence interval of population mean  
the margin of error (ME) is calculated as   

where z is the standard normal score for the required confidence level  
s is the sample standard deviation  
and   
n is the sample size  
  
   is also the standard deviation of the sampling distribution of the means
  
and  
z   is also the number of standard deviations for the required confidence level
  
Thus, the correct answer is   
A.    You multiply the number of standard deviations by the standard deviation of the sampling distribution of sample means.  

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