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A population of values has a normal distribution with =63.8 and =36.2.pdf

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A population of values has a normal distribution with =63.8 and =36.2. You intend to draw a random sample of size n=11. Find the probability that a single randomly selected value is greater than 35.4. P(X>35.4)= Find the probability that a sample of size n=11 is randomly selected with a mean greater than 35.4 . P(M>35.4)= 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. A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.9 inches, and standard deviation of 1.8 inches. If 37 items are chosen at random, what is the probability that their mean length is greater than 16.5 inches? (Round answer to four decimal places).

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A population of values has a normal distribution with =63.8 and =36.2. You intend to draw a random sample of size n=11. Find the probability that a single randomly selected value is greater than 35.4. P(X>35.4)= Find the probability that a sample of size n=11 is randomly selected with a mean greater than 35.4 . P(M>35.4)= 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. A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.9 inches, and standard deviation of 1.8 inches. If 37 items are chosen at random, what is the probability that their mean length is greater than 16.5 inches? (Round answer to four decimal places)

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