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.
- You select one man from Biotown at random and she is 5 feet, 4 inches (64 inches) tall to the nearest inch.
- You select one man from Biotown at random and he is 6 feet, 1 inch (73 inches) tall to the nearest inch.
- 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