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The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg. Assuming that the weight is normally distributed, determine how many students weigh between 60 kg and 75 kg.

  • A. 450
  • B. 476
  • C. 480
  • D. 490
Correct Answer: B

Rationale: Convert to z-scores: (60-70)/3 = -3.33, (75-70)/3 = 1.67. P(-3.33 < Z ≤ 1.67) = P(Z ≤ 1.67) - P(Z ≤ -3.33) = 0.9525 - (1 - 0.9996) = 0.9521. Then, 0.9521 * 500 ≈ 476, as per the document.