A company that manufactures brackets for an automaker regularly selects brackets from the production line and performs a torque test. The goal is for mean torque to equal 125. Let X equal the torque and assume that X is N(μ, σ2). We shall use a sample of size n = 15 to test H0: μ = 125 against a two-sided alternative hypothesis.
(a) Give the test statistic and a critical region with significance level α = 0.05. Sketch a figure illustrating the critical region.
(b) Use the following observations to calculate the value of the test statistic and state your conclusion:

128 149 136 114 126 142 124 136 122 118 122 129 118 122 129