High school girls average 80 text messages daily. Assume the population standard deviation is 15 text messages.  What is the probability that the sample mean is more than 90? Suppose a random sample of 100 high school girls is taken. What is the probability that the sample mean is less than 85? With the assumption about 100 girls being taken as above, what is the probability the sample mean is in between 85 and 90?

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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High school girls average 80 text messages daily. Assume the population standard deviation is 15 text messages. 

  1. What is the probability that the sample mean is more than 90?
  2. Suppose a random sample of 100 high school girls is taken. What is the probability that the sample mean is less than 85?
  3. With the assumption about 100 girls being taken as above, what is the probability the sample mean is in between 85 and 90?
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