Question

​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 determine the typical ranges of the​ women's heights. In what range will approximately the middle 95​% of the​ women's heights​ lie?

Answer 1

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.