A population of values has a normal distribution with ( = 218.9 and o = 87.9. You intend to draw a random sample of size n = 83. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)A population of values has a normal distribution with p. = 212 and o" = 30. You intend to draw a random sample of size n = 108. Find the probability that a single randomly selected 1value is between mac and 21(16. Piibj 95.4-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted.A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 114.4-cm and a standard deviation of 2.3-cm. For shipment, 18 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 114.4- cm and 115.2-cm. P(114.4-cm