Consider the following hypothesis test: H0:μ≥45 , Ha : μ< 45. A sample of 36 is used. Compute the test statistic and critical values and state your conclusion for each of the following sample results. Use α = 0.01.
a. xˉ = 44 and s = 5.2
b. xˉ= 43 and s = 4.6
c. xˉ= 46 and s = 5.0