(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=75 and s =5. assuming normality, the 99% confidence interval for the population mean is:

The 99% confidence interval is  

Step-by-step explanation:

From the question we are told that

     The sample  size  is  

      The  sample  mean is  

        The  standard deviation is  

 Given that confidence is  99%  then the level of significance is mathematically represented as

Next we obtain the critical values of   from the normal distribution table

   The  value is

Generally the margin for error is mathematically represented as

=>        

=>        

   The  99% confidence interval is mathematically represented as

=>          

=>          

step-by-step explanation: