Sampling distribution

The population mean for the height of Biotown men is 5 feet, 4 inches (64 inches), the population standard deviation is 3 inches, and the distribution is normal. Order the likelihood of the following four instances from the most likely to least likely. Explain why you chose your particular order.

  1. You select one man from Biotown at random and she is 5 feet, 4 inches (64 inches) tall to the nearest inch.
  2. You select one man from Biotown at random and he is 6 feet, 1 inch (73 inches) tall to the nearest inch.
  3. You select a random sample of 10 men from Biotown, and the mean of their heights, to the nearest inch, is 5 feet, 4 inches.

You select a random sample of 10 men from Biotown, and the mean of their heights, to the nearest inch, is 6 feet, 1 inch

 
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