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12 6.5.014. 0/1 Submissions Used Suppose the heights of 18-year-old men are approximately normally distributed, with mean 4 inches. ) What is the probability that an 18-year-old man selected at random is between 69 and 71 inches tal? (Round your answer to four decima (b) If a random sample of seventeen 18-year-old m en is selected, what is the probability that the mean height i is between 69 ang 7: Inches (c) Compare your answers to parts (a) and (b). Is the probability in p art (b) much higher? why would you expect this? O The probability in part (b) is much higher because the mean is smaller for the x distribution. O The probability in part (b) is much higher because the standard deviation is larger for the i distribution. O The probability in part (b) is much lower because the standard deviation is smalier for the x distribution. The probability in part (b) is much higher because the mean is larger for the x distribution 0 The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

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