Question: 5.3 Scores on a motor-performance test for employees who hold non-sedentary jobs (Group 1) are normally distributed with a mean and variance of 60 and 100, respectively. Scores for employees who hold sedentary jobs (Group 2) are normally distributed with a mean of 50 and a variance of 121. A random sample of 10 employees is selected from Group 1. An independent random sample size of 11 is selected from Group 2. What is the probability that the difference between sample means \({{\bar{X}}_{1}}-{{\bar{X}}_{2}}\) between 8 and 14?