From national testing data, we find that college math class testing times are normally distributed with \(\mu = 46\) minutes and \(\sigma = 3\) minutes. Using the 68-95-99.7 rule, give the testing times for A, B, C, D, E, F, G.

From the given information, we know that the testing times for a college math class are normally distributed with a mean of 46 minutes and a standard deviation of 3 minutes. Using the 68-95-99.7 rule, we can determine the testing times for different percentiles.

A: The testing time for the 68th percentile is within 1 standard deviation of the mean, so it would be between (46 - 3) and (46 + 3) minutes.
B: The testing time for the 95th percentile is within 2 standard deviations of the mean, so it would be between (46 - 2 * 3) and (46 + 2 * 3) minutes.
C: The testing time for the 99.7th percentile is within 3 standard deviations of the mean, so it would be between (46 - 3 * 3) and (46 + 3 * 3) minutes.
D: To find the testing time for the 50th percentile (median), we can use the mean, which is 46 minutes.
E: Similar to D, the testing time for the 25th percentile would also be 46 minutes since it is below the mean but still within 1 standard deviation.
F: The testing time for the 75th percentile would be greater than the mean, so it would be greater than 46 minutes.
G: To find the testing time for the 0.3th percentile, we can calculate (46 - 3 * 3) minutes.

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