The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t-test will be carried out to see whether this is the case. What conclusion for the test hypothesis is appropriate in each of the following situations?
a) n = 13, t = 1.6, and α = 5%
b) n = 25, t = 3.6, and α = 1%