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Answer :
Final answer:
The range of heights that contains 68% of all hay crops is 35.5 to 38.5 inches, found by applying the 68-95-99.7 rule and calculating one standard deviation above and below the mean. Therefore correct option is B
Explanation:
The range of heights containing 68% of all hay crops, based on the average height of a hay crop which is 37 inches with a standard deviation of 1.5 inches, can be found using the 68-95-99.7 rule for a normal distribution. This rule states that approximately 68% of the data will fall within one standard deviation of the mean.
Therefore, to find the range we add and subtract one standard deviation (1.5 inches) from the mean (37 inches).
The calculation would be:
Lower limit: 37 - 1.5 = 35.5 inches
Upper limit: 37 + 1.5 = 38.5 inches
Thus, the range of heights that contains 68% of all hay crops is 35.5 to 38.5 inches (Option B).
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