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A normally distributed population has a mean of 550 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 501. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 583. a. P(x<501) (Round to four decimal places as needed.) %3D b. P (x2 583) (Round to four decimal places as needed.)

A normally distributed population has a mean of 550 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 501. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 583. a. P(x<501) (Round to four decimal places as needed.) %3D b. P (x2 583) (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A normally distributed population has a mean of 550 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 501. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 583. a. P (x< 501) =O (Round to four decimal places as needed.) %3D b. P (x2 583) =O (Round to four decimal places as needed.) %3D Enter your answer in each of the answer boxes. MacBook Pro esc 000
Transcribed Image Text:A normally distributed population has a mean of 550 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 501. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 583. a. P (x< 501) =O (Round to four decimal places as needed.) %3D b. P (x2 583) =O (Round to four decimal places as needed.) %3D Enter your answer in each of the answer boxes. MacBook Pro esc 000
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