Quiz 5 – Statistics Chapter 5 – The Normal Distribution Name_____Solutions___Math 117Date __________________________SaidiThis quiz is worth 15 points. Each part of each problem is worth 2 points unless specified otherwise. Label your answers with relevant notation and symbols.1.An index that measures newborn health is approximately normal with a mean of 106 and a standard deviation of 19. a.Write the notationfor this situation as a variable of interest with a Normal distribution. )
b.What proportion of newborns has an index of at least 118? Label curve, shade the appropriate region, and solve.
c.Find the index score that is the 84thpercentile (round to the nearest whole number) Label curve, shade the appropriate region, and solve. .84
2.Water usage follows a relatively normal distribution. According to WSSC, the average person consumes 20% of their overall water usage with showers, and a bootstrap distribution gives a standard error of 0.018. a.Write the