What is the distribution of XX? XX ~ U(,) Suppose that 36 children from the school are surveyed. Then the sampling distribution is What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the probability that the average of 36 children will be between 8 and 8.5 years old?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 11 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ U(,)
  2. Suppose that 36 children from the school are surveyed. Then the sampling distribution is
  3. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  4. What is the probability that the average of 36 children will be between 8 and 8.5 years old?
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