An operations manager with General Motors corporate officeswishes to determine if the true mean productivity of employees atits Detroit, Michigan plant is different from its Opel/VauxhallPlant in Bochum, Germany. For this analysis, productivitywill be measured by the number of cars that employees assemble perday. Random samples of employees in Detroit and Bochum areselected, and the productivity scores at each assembly plant arerecorded. The following results areobtained.

t-Test: Two-Sample Assuming Equal Variances
	Detroit	Bochum
Mean	58.5	54.3
Variance	42	56
Observations	13	13
Pooled Variance	XX
Hypothesized Mean Difference	0
df	XX
t Stat	XXXXX
P(T<=t) one-tail	XXXXX
t Critical one-tail	XXXXX
P(T<=t) two-tail	XXXXX
t Critical two-tail	XXXXX

1. Using a significance level of 0.01, the critical value of theappropriate test statistic to conduct the test of hypothesis forthe belief that there is a difference in the mean productivityis:

2. What is the pooled standard deviation?

3. Assume that the p-value associated with the test statistic is0.08. What is the conclusion of the hypothesis test? Use thesignificance level from question above.