5. Former NBA superstar Michael Jordan is 78 inches tall and WNBA basketball pla

Question

5. Former NBA superstar Michael Jordan is 78 inches tall and WNBA basketball player Re Lobo is 76 inches tall. Jordan is obviously taller by 2 inches, but which player is relatively tall Jordan's height among men exceed Lobo's height among women? Men have heigh standard deviation of 69.0 and 2. eights with mean and s er? Does ts with a mean and 8 inches, respectively; women have h deviation of 63.6 and 2.5 inches, respectively (based on data from the National Health Survey Choose the best answer. Relatively, Jordan is taller than Lobo, since on average NBA men are taller than basketball players. Relatively, Jordan is taller than Lobo, since the standard deviation of heights for NBA men is larger than that for WNBA women. Relatively, Lobo is taller since she is taller than the average WNBA women by 12.4 inches, wh Jordan is taller than the average NBA men by 9 inches. A. WNBA B. C. D. Relatively, Lobo is taller since the z-score of her height is 4.96 compared to that of Jordan's3 E. There is insufficient information to determine which former player is taller.

Explanation / Answer

Jordans Z score = (78-69)/2.8 = 3.21 and Lobos Z = (76 - 63.6)/2.5 = 4.96

Option D is the correct answer. We are standardizing their heights based on their Z scores and since Lobo has a greater Z score (that is her height is 4.96 Std. deviations above the mean) compared to Jordan whose height is 3.21 Std. Deviations above the mean, it means that Lobos height amongs women is relatively greater than Jordans height amongst men.

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