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suppose the height of the members of a population follow its normal distribution. If the mean height of the population is 72 inches and the standard deviation is 3 in, 68% of the population would have a height within which range? NO LINKS!!! ​

suppose the height of the members of a population follow its normal distribution If the mean height of the population is 72 inches and the standard deviation is class=

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Answer:

○ B. [tex]\displaystyle 69\:inches\:to\:75\:inches[/tex]

Explanation:

The Empirical Rule states that sixty-eight percent of the population will be within one standard deviation of the mean in height. Therefore, you perfourm the operations below:

[tex]\displaystyle \boxed{75} = 3[1] + 72 \\ \boxed{69} = -3[1] + 72[/tex]

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Find upper range and lower range by adding and subtracting standard deviation respectively.

Lower range

  • Mean-Standard deviation
  • 72-3
  • 69

Upper range:-

  • Mean+standard deviation
  • 72+3
  • 75

Option B is correct

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