2) Assembly line trainees are instructed in a new way to build a particular part on an assembly line. Using previous training methods it has taken trainees an average of 12 hours to master the process. The company knows that the new method of instruction is cost efficient in terms of instructional time but wants to know if trainees learn the process faster. Use 12hours as the population mean. Assume that there is no information about the standard deviation of the population. There are currently 9 trainees learning the new method. The individual times for each trainee appear below.

12 10 10 13 8 13 10 9 11

a) Find the standard deviation estimated and the standard error estimated for the population.

b) type a set of statistical hypothesis statements for this question.

c) write a set for a single sample t test and find the critical value for this problem.d) Identify if this is a significant outcome and discuss what this tells you about the effectiveness of the new training method.