Find the one sample z test value comparing the null hypothes

Find the one sample z test value comparing the null hypothesis of 38 to the mean of the following values: 45, 35, 45, 55, 45, 55, 47, 35.

Answer Choices:

A. 2.736

B. 3.927

C. 2.508

D. 2.887

Solution

  
Getting the test statistic, as              
              
X = sample mean =    45.25          
uo = hypothesized mean =    38          
n = sample size =    8          
s = standard deviation =    7.101936356
          
              
Thus, t = (X - uo) * sqrt(n) / s =    2.887 [ANSWER, D]