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We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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.

Answer :

Final answer:

The testing times for percentiles A, B, C, D, E, F, and G can be determined using the 68-95-99.7 rule.

Explanation:

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.

  1. 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.
  2. 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.
  3. 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.
  4. D: To find the testing time for the 50th percentile (median), we can use the mean, which is 46 minutes.
  5. 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.
  6. F: The testing time for the 75th percentile would be greater than the mean, so it would be greater than 46 minutes.
  7. G: To find the testing time for the 0.3th percentile, we can calculate (46 - 3 * 3) minutes.

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