Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.1-in and a standard deviation of 0.9-in. In what range would you expect to find the middle 98% of most head breadths? Between and If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the breadths of male heads in the sample? Between and Enter your answers as numbers. Your answers should be accurate to 2 decimal places. Please note that this question does not say to use the empirical rule.The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days and a standard deviation of 16 days. In what range would you expect to find the middle 68% of most pregnancies? Between and If you were to draw samples of size 33 from this population, in what range would you expect to find the middle 68% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers, Your answers should be accurate to 1 decimal places.Suppose 5% of students are veterans and 125 students are involved in sports. How unusual would it be to have no more than 5 veterans involved In sports? (5 veterans is about 4%) When working with samples of size 125, what is the mean of the sampling distribution for the proportion of veterans? When working with samples of size 125, what is the standard error of the sampling distribution for the proportion of veterans? Compute P(p