don't use excel or other programs, want all explanations

QUESTION 1 (18 points): The supervisor of a production line believes that the average time to assemble an electronic component is 14 minutes. Assume that the 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 is 11.6 minutes. Set up an appropriate test, using a significance level of a = 0.01 based on this information. 1 A B I GO S'S