Construct a 95 confidence interval for a population mean The

Construct a 95% confidence interval for a population mean. The sample mean is X = 19 and the standard error of the mean is X = 3. (Points : 4) draw no conclusion 12.12, 24.24 13.12, 24.88 reject image. 13.89, 26.88

Solution

Note that              
              
Lower Bound = X - t(alpha/2) * se              
Upper Bound = X + t(alpha/2) * se              
              
where              
              
df = n - 1 = 6 - 1 =   5          
X = sample mean =    19          
t(alpha/2) = critical z for the confidence interval =    2.776445105          
se = standard error =    3          
              
Thus,              
              
Lower bound =    10.67066468          
Upper bound =    27.32933532          
              
Thus, the confidence interval is              
              
(   10.67066468   ,   27.32933532   ) [ANSWER]

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