Answer :
Final answer:
Using the range rule of thumb, the low and high values for men's hip widths, with mean 36.6 cm and standard deviation 2.5 cm, are estimated to be 31.6 cm and 41.6 cm respectively.
Explanation:
The range rule of thumb is a simple computation which gives you a rough estimate of the range in which most data falls. According to this rule, most values should fall within the range of the mean minus 2 standard deviations and the mean plus 2 standard deviations. In this case, if we're addressing the hip width of men during the process of designing aircraft seats with a mean of 36.6 cm and a standard deviation of 2.5 cm, we can apply the rule of thumb as follows:
- Low value: Mean - 2*Standard Deviation = 36.6 cm - 2*2.5 cm = 31.6 cm
- High value: Mean + 2*Standard Deviation = 36.6 cm + 2*2.5 cm = 41.6 cm
Therefore, using the range rule of thumb, we estimate that most men's hip widths should fall within the range of 31.6 cm and 41.6 cm. This range could be helpful in guiding the design of the aircraft seats to accommodate a majority of men.
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