Consider the following hypothesis test:
H0: μ = 18
Ha: μ ≠ 18
A sample of 48 provided a sample mean x̄ = 17 and a sample standard deviation s = 4.5.
If requires, round your answers to two decimal places. Enter negative values as negative numbers.
a. Compute the value of the test statistic.
-1.54
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
p-value is between .20 and .10
c. At α = 0.05, what is your conclusion?
p-value is greater than 0.05, do not reject H0
d. What is the rejection rule using the critical value?
Reject H0 if t is greater than 2.012 or t is less than -2.012
What is your conclusion?
t = 18; do not reject H0