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1. Outlier percentage in a normal distribution ●●○○○ 20 ptsIn a normal distribution, a value is an outlier if it lies more than $1.5$ interquartile ranges above the upper quartile or more than $1.5$ interquartile ranges below the lower quartile. Using $z=\pm 0.67$ for the quartiles, what percent of values are outliers under this definition? Give the percent rounded to two decimal places.
2. Finding an outlier with the IQR rule ●●○○○ 20 ptsFor the data set $15, 17, 19, 16, 14, 58$, find the outlier using the quartiles (the median of each half of the data) and the rule that a value is an outlier if it lies below $Q_1-1.5\cdot IQR$ or above $Q_3+1.5\cdot IQR$.