Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 4 inches.   (a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-four 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.) (c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

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Q: probability that an 18-year-old man selected at random is between 69 and 71 inches tall

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.