g A random sample of size 16 taken from a normally distributed population revealed a sample mean of 50 and a sample variance of 36. The upper limit of a 95% confidence interval for the population mean would equal:

The  upper limit is    

Step-by-step explanation:

From the question we  told that

     The  sample size is

      The sample mean is  

      The sample variance is  

For  a  95% confidence interval the confidence level is  95%

Given that the confidence level is 95% then the level of significance is  mathematically evaluated  as  

Next we obtain the critical value of   from the normal distribution table(reference- math dot armstrong dot edu), the value is  

Generally the margin of error is mathematically represented as

 Here   is the standard deviation which is mathematically evaluated as

substituting values

=>                

So

The 95% confidence interval is mathematically represented as

substituting values

The  upper limit is    

a is the right answer

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