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Suppose the age that children learn to walk is normally distributed with a mean of 11 months and standard deviation 1.1 months. 6 randomly selected

Suppose the age that children learn to walk is normally distributed with a mean of 11 months and standard deviation 1.1 months. 6 randomly selected people were asked at what age they learned to walk. Round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ N(_____,______)
  2. What is the distribution of xx? xx ~ N(______,______)
  3. What is the probability that one randomly selected person learned to walk when the person was between 10 and 11.5 months old? ______
  4. For the 6 people, find the probability that the average age that they learned to walk is between 10 and 11.5 months old. ____
  5. For part d), is the assumption that the distribution is normal necessary? No/Yes
  6. Find the IQR for the average first time walking age for groups of 6 people. Q1 = _____ months Q3 = ______ months IQR: _______ months

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