Suppose a random sample of size 27 is selected from a population with mean μ, the value of which is unknown. The sample had a mean of 6.4 and a standard deviation of 14. The hypothesis test has the following hypotheses: Ho: μ ≤ 6 versus HA: μ > 6. Test at α of 0.05. Possible formulas:
Which of the following is the correct decision?
A
t_test = 0.15 and t critical = 1.706, Ho is retained.
B
Z_test = 0.15 and Z critical = 1.645, Ho is rejected.
C
t_test = 0.03 and t critical = 1.706, Ho is retained.
D
Z_test = 0.03 and Z critical = 1.645, Ho is rejected.