If you could help me understand the different processes associated with these problems

A population of values has a normal distribution with u = 13.7 and o = 13.5. You intend to draw a random sample of size n = 120. What is the mean of the distribution of sample means? HI = What is the standard deviation of the distribution of sample means? Round to 4 decimal places.The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of 13 days. In what range would you expect to find the middle 95% of most pregnancies? Between and If you were to draw samples of size 32 from this population, in what range would you expect to find the middle 95% 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.The lengths of pregnancies in a small rural village are normally distributed with a mean of 263.5 days and a standard deviation of 12.1 days. In what range would you expect to find the middle 50% of most pregnancies? Between and Enter your answers as numbers. Your answers should be accurate to 1 decimal places. Please note that this question is not asking you to use the Empirical RuleEngineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele haye head hreadths that are normally distributed with a mean of E.?in and a standard deviation of1.2in. In what range would you expect to nd the middle Built: of most head breadths? lfyou were to draw samples of size 45 from this population, in what range would you expect to find the middle Built: of most averages for the breadths of male heads in the sample? Between C] and C]. 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