a certain population, the height of women (X) is normally distributed with mean 64 and standard deviation 3, while the height of men (Y) is normally distributed with mean 69 and standard deviation 4. You choose a woman I a man at random from the population. The probability that their heights are within 3.2 inches of each other is closest to: (Hint: Consider the distribution of (X-Y)) A: 0.190 B: 0.251 C: 0.311 OD: 0,281 DE: 0.221

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A: here use z-score  z = x- μσ

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Q: Give the value of the test statistic t for this situation:

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Q: What does the z-score of a data point tell us?

A: The z score is defined as Z = (X - mean)/SD