On the planet of Mercury, 4-year-olds average 2.8 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.6 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 3 decimal places where possible. a.  What is the distribution of X? X ~ N(,) b.  Find the probability that the child spends less than 1.4 hours per day unsupervised.  c.  What percent of the children spend over 2.2 hours per day unsupervised. % (Round to 2 decimal places)

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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.