Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 42 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ U(,) Suppose that 42 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 42 children will be between 8 and 8.4 years old?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 42 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 42 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 42 children will be between 8 and 8.4 years old? 
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