The seats were subjected to a safety stress test in which scores were assigned on a continuous scale of 0 to 10. This test was performed on a large sample of model C seats. The mean score was 6.8 with a standard deviation of 0.34. You may assume that the scores are normally distributed and the stated mean and standard deviation represent our best estimate of those population parameters.
Suppose you select a sample of 5 seats, subject each of them to the stress test and compute the mean score for the sample. What is the probability that the mean score will be less than 6.2?