Answer :
This is because of the empirical rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. The answer is option B: 120; 135.
In this case, one standard deviation above the mean is 150 pounds (135 + 15) and one standard deviation below the mean is 120 pounds (135 - 15). Therefore, approximately 68% of all women should weigh between 120 and 150 pounds.
If the average weight for women is normally distributed with a mean of 135 pounds and a standard deviation of 15 pounds, then approximately 68% of all women should weigh between:
1. Calculate the lower limit: mean - standard deviation = 135 - 15 = 120 pounds
2. Calculate the upper limit: mean + standard deviation = 135 + 15 = 150 pounds
So, approximately 68% of all women should weigh between 120 and 150 pounds. The correct answer is option a. 120; 150.
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