Managers of a cement production company would like to assess safety climate perceptions among factor workers. Employees at two factory locations take the same survey except that the measurement scale used differs across the locations. Therefore, in order to compare and combine the results, the scores must be standardized. Both samples are normally distributed, and the sample obtained from Factory A has a mean (x) of 3.5 and a standard deviation (s) of .5, and the sample obtained from Factory B employees has a mean (x) of 7 and a standard deviation (s) of 2.

Find the z-score when:

• X = 2 for Factory A
• X = 2 for Factory B

Find the X when:

• z-score = .5 for Factory A
• z-score = .5 for Factory B

Use the z-score obtained for Factory A and B when X = 2 to identify the probability of a score being greater than z. (Hint: Use the table of the standard normal distribution located in the Appendix of your textbook or the normal distribution calculator).

• probability of score being greater than z for X = 2 for Factory A
• probability of score being greater than z for X = 2 for Factory B

Below, match the answer response to the correct item. Please round all responses to the second decimal point except when specified otherwise.

	z-score when X = 2 for Factory A: ___
	z-score when X = 2 for Factory B: ___
	X when z-score = .5 for Factory A: ___
	X when z-score = .5 for Factory B: ___
	probability of score being greater than z for X = 2 for Factory A: ___
	probability of score being greater than z for X = 2 for Factory B:___

A.	8.00
B.	.9987
C.	-2.50
D.	-3.00
E.	.9938
F.	3.75