5. A company will only consider job candidates who place at least 2 standard deviations above the mean on a standardized test that has a mean of 87 and a standard deviation of 5.6. What is the minimum score that a candidate must make on the test to be considered? 6. It is reported that 96% of teenagers eat potato chips. If 41 teenagers are randomly selected, find: a. the probability that exactly 37 of the teenagers eat potato chips. b. the mean and standard deviation of the number of teenagers who eat potato chips. 7. Find the sample mean and standard deviation for the following data: 5, 7, 10, 15, 28, 31