Women's heights average 62 inches with a standard deviation of 2.9 inches in a certain study. Use the 68-95-99.7 rule to deter
mine the typical ranges of the women's heights. In what range will approximately the middle 95% of the women's heights lie?
1 answer:
Answer:
Middle 95% of the women's heights lie between 59.1 inches and 64.9 inches
Step-by-step explanation:
According to the 68-95-99.7 rule ,
- 1 standard deviation around the mean includes middle 68% of the population
- 2 standard deviation around the mean includes middle 95% of the population
- 3 standard deviation around the mean includes middle 99.7% of the population
Therefore Middle 95% of the women's heights lie 62±2.9 inches according to the study. That is between 59.1 inches and 64.9 inches.
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