A normally distributed population has a mean of 425 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 387. 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 461, P(i<387) -D (Round to four decimal places as needed.) a

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 425 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 387.
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 461.
a. P(i<387) =O
(Round to four decimal places as needed.)
Transcribed Image Text:A normally distributed population has a mean of 425 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 387. 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 461. a. P(i<387) =O (Round to four decimal places as needed.)
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