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 Test: Two Samole Assumine El Variances Detroit Bochum Mean 585 54.3 Variance 42 56 Observations 13 13 Pooled Variance XX Hypothesized Mean Difference 0 df XX Stat XXXXX PITS) one tail XXXXX Critical one-tall XXXXX PIT-two-tail Xocx Critical two-ta XXXXX Using a significance level of 0.05, 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: 1.71 02.06 1.95 O 2.80 0 2.49 What is the pooled standard deviation? 07 0 42 O None of the others. O 49 0 56 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 16. Reject Ho because the p-value is less than the significance level. O None of the others. Fail to Reject Ho because the p-value is greater than the significance level. O Fail to Reject Ho because the p-value is less than the significance level. O Reject Ho because the p-value is greater than the significance level