Suppose that the mean value of the interpupillary distance for all adult males is 65 mm, and the population standard deviation is 5 mm.  If the distribution of interpupillary distance is normal and a sample of n=25 adult males is selected, what is the probability that the same average distance, x-bar, for these 25 scores will be between 64 and 67 mm? Same set-up as part a.  More than 68 mm? Suppose that a sample of 100 adult males is obtained.  Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the average distance, x-bar, is between 64 and 67 mm? Same set-up as part c.  More than 68 mm?

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Suppose that the mean value of the interpupillary distance for all adult males is 65 mm, and the population standard deviation is 5 mm. 

  1. If the distribution of interpupillary distance is normal and a sample of n=25 adult males is selected, what is the probability that the same average distance, x-bar, for these 25 scores will be between 64 and 67 mm?
  2. Same set-up as part a.  More than 68 mm?
  3. Suppose that a sample of 100 adult males is obtained.  Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the average distance, x-bar, is between 64 and 67 mm?
  4. Same set-up as part c.  More than 68 mm?
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