A normally distributed population has a mean of 475 and a standard deviation of 80. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 430. b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 518. a. P (x<430) = (Round to four decimal places as needed.) b. P (x2518) = (Round to four decimal places as needed.)

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A normally distributed population has a mean of 475 and a standard deviation of 80.
a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 430.
b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 518.
a. P (x<430) =
%3D
(Round to four decimal places as needed.)
b. P (x2518) =
(Round to four decimal places as needed.)
%3D
Enter your answer in each of the answer boxes.
Transcribed Image Text:A normally distributed population has a mean of 475 and a standard deviation of 80. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 430. b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 518. a. P (x<430) = %3D (Round to four decimal places as needed.) b. P (x2518) = (Round to four decimal places as needed.) %3D Enter your answer in each of the answer boxes.
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