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Question

On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probability that a randomly selected part from this supplier will have a value between 85.3 and 109.7 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?
Probability is 0.68, which is consistent with the Empirical Rule
Probability is 0.68, which is inconsistent with the Empirical Rule
Probability is 0.95, which is consistent with the Empirical Rule
Probability is 0.05, which is inconsistent with the Empirical Rule

Answer 1

 

 The probability in question is exactly 2 standard deviation from the mean in both directions.

The Emprical Rule states that 0.95=95% is the probability; that is 95-97.5%, or even up to

98% of the data in some cases lies within 2 standard deviations from the mean

 

The answer is option C