Birth weights of babies born to full-term pregnancies followed roughly a normal distribution. at meadowbrook hospital, the mean weight of babies born to full-term pregnancies is 7 pounds with a standard deviation of 14 ounces (1 pound = 16 ounces). what is the probability that the average weight of the four babies will be more than 7.5 pounds

Question

Mathematics

Rayna White

5 January, 21:38

Birth weights of babies born to full-term pregnancies followed roughly a normal distribution. at meadowbrook hospital, the mean weight of babies born to full-term pregnancies is 7 pounds with a standard deviation of 14 ounces (1 pound = 16 ounces). what is the probability that the average weight of the four babies will be more than 7.5 pounds

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Answers (1)

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Jonathan Ferrell · Answer 1

Given:

μ = 7 lb

σ = 14 oz = 14/16 lb = 0.875 lb

For the random variable x = 7.5 lb, the z-score is

z = (x - μ) / σ

= (7.5 - 7) / 0.875

= 0.5714

From standard normal tables, obtain

P (x > = 7.5) = 1 - 0.716 = 0.284

Answer: 0.284