Answer :
Final answer:
According to the 68-95-99.7 rule, a delivery time of 16 minutes takes less than 95% of the time.
Explanation:
Using the 68-95-99.7 Rule
According to this rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Determining the Delivery Percent
In this case, the mean delivery time is 30 minutes with a standard deviation of 7 minutes. To find the delivery percent that takes less than 16 minutes, we need to find how many standard deviations this value is away from the mean.
Z = (X - mean) / standard deviation
Plugging in the values, Z = (16 - 30) / 7 = -2.
Therefore, the delivery time of 16 minutes is 2 standard deviations below the mean. According to the 68-95-99.7 rule, approximately 95% of the data falls within two standard deviations. Hence, the answer is B. 95%.
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