The supervisor of a production line believes that the average time to assemble an electronic component is 14 minutes. Assume that assembly time is normally distributed with a standard deviation of 3.4 minutes. The supervisor times the assembly of 14 components, and finds that the average time for completion was 11.6 minutes. Is there evidence that the average amount of time required to assemble a component is something other than 14 minutes? Use a = .01

a) Develop the appropriate hypotheses.
b) What is the appropriate test statistic (explain) and what is its value
c) What is the critical value(s) of the test statistic?
d) Compare calculated and critical values and come to a conclusion about the null hypothesis.
e) State the general decision rule for the p-value approach to hypothesis testing.
f) What is the p-value associated with the sample mean in this study? Should the null hypothesis be rejected?