Question

Question 2

View es to Mailings EvE V Review E U becom AaBbCcode AaBbCcDc AaBbCcDdE No Spacing Heading 1 Heading 2 2) Assembly line trainees are instructed in a new way to build a particular part on an assembly line. Using previous training method's, 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 12 hours 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) Write a set of statistical hypothesis statements for this question. c) Computet 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.

Answer 1

V n-1 I = a) sd =s=1 I = 10.67; sd = s= 1.73; SE = sd/n=0.577 b) Null: u = 12; alternate : <12; T – 12 -= -2.305; At 5% significance level, dof = n-1= 8, so critical value ter = -1.859; ; At 1% significance level, ter = -2.896; d) if significance level = 5% then tobs > ter, so we rejct NULL. If significance level = 1% then tobs <Iter, so we accept NULL. c) tgs = SE

So at 5% level, this outcome is significant and we conclude that new procedure is quicker for trainees to learn.

At 1% level, this outcome is not significant and we conclude that new procedure is not quicker than old one for trainees to learn.