Question 1 > A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 14.3 inches, and standard deviation of 3.8 inches. If 40 items are chosen at random, what is the probability that their mean length is greater than 12.6 inches? (Round answer to four decimal places) 0/5 pts 2 Details Question Help: Message instructor Submit Question Question 3 < > A population of values has a normal distribution with = 210.7 and = 26.7. You intend to draw a random sample of size n = 123. Find the probability that a single randomly selected value is between 209 and 210.9. 0/5 pts 2 Details < P(209 X 210.9) = < Find the probability that a sample of size n < P(209 M 210.9) = < - 123 is randomly selected with a mean between 209 and 210.9. Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Question Help: Message instructor Submit Question Question 2 You intend to draw a random sample of size n = 689 from a population whose parameter is p What is the mean of the distribution of sample proportions? M = What is the standard deviation of the distribution of sample proportions? (Report answer accurate to 2 decimal places.) == Question Help: Message instructor Submit Question = 0.41 0/5 pts 2 Details