An operations manager with general motors corporate offices wishes to determine if the true mean productivity of employees at its detroit, michigan plant is different from its opel/vauxhall plant in bochum, germany. for this analysis, productivity will be measured by the number of cars that employees assemble per day. random samples of employees in detroit and bochum are selected, and the productivity scores at each assembly plant are recorded. the following results are obtained. t-test: two-sample assuming equal 58.554.3variance4256observations131 3pooled variancexxhypothesized mean difference0dfxxt statp(t< =t) one-tailt critical one-tailp(t< =t) two-tailt critical two-tail1. using a significance level of 0.01, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is: 2. what is the pooled standard deviation? 3. assume that the p-value associated with the test statistic is 0.08. what is the conclusion of the hypothesis test? use the significance level from question above.