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The height of students is normally distributed with mean 67 inches and standard deviation 2 inches

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The height of students is normally distributed with mean 67 inches and standard deviation 2 inches. Monica records the heights for 16 randomly chosen students. There is 80% chance that any random sample of height of 16 students will have a sample mean less than Monica's sample mean. Compute Monica's sample mean using this information. (Hint: Start with the distribution of sample mean for a random sample of 16 students)