If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is? Why? For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. For a sample of size 10, find the probability that the sample mean is more than 241.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 19SGR
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A random variable is normally distributed.  It has a mean of 245 and a standard deviation of 21. 

  • If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is? Why?
  • For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean.
  • For a sample of size 10, find the probability that the sample mean is more than 241.
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