The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7.4 mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 40, find the probability that the average hand length is more than 193.  Find the first quartile for the average adult male hand length for this sample size.  Round to 2 decimal places.  For part b), is the assumption that the distribution is normal necessary? NoYes

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The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7.4 mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible.

  1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  2. For the group of 40, find the probability that the average hand length is more than 193. 
  3. Find the first quartile for the average adult male hand length for this sample size.  Round to 2 decimal places. 
  4. For part b), is the assumption that the distribution is normal necessary? NoYes
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