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Answer :
Final answer:
Using the Empirical Rule, we can expect to find about 95% of the rates between 96 and 588.
Explanation:
To find the range within which we can expect to find about 95% of the rates, we can use the Empirical Rule (also known as the 68-95-99.7 rule).
The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
Since we know that the mean rate is 342 and the standard deviation is 123, we can calculate the expected range as follows:
Lower value = mean - 2 * standard deviation = 342 - 2 * 123 = 342 - 246 = 96
Upper value = mean + 2 * standard deviation = 342 + 2 * 123 = 342 + 246 = 588
Therefore, we can expect to find about 95% of the rates between 96 and 588.
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