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Answer :
Final answer:
The tallest 3% of people have a height of approximately 75.52 inches.
Explanation:
To find the height of the tallest 3% of people, we need to find the z-score associated with a cumulative probability of 0.97. Using the standard normal distribution table, we find that the z-score is approximately 1.8808. Next, we use the z-score formula to calculate the corresponding height:
x = mean + (z * standard deviation)
Plugging in the values, we get:
x = 68 + (1.8808 * 4) = 75.5232 inches
Therefore, the tallest 3% of people have a height of approximately 75.52 inches.
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