The numbers below represents heights (in feet) of 3-year old elm trees, where leaves represent fractional parts of each value.
stems leaves
5 1, 8
6 1, 2, 4, 7, 8,
7 0, 2, 3, 3, 4, 5
8 1, 1, 2, 3, 5, 6, 6, 7, 7, 9, 9
9 0, 1, 3, 4
a) Determine the five number summary for the given set of data.
b) Produce a box and whisker plot for the data.
c) Supposing that the heights of 3-year old elm trees are normally distributed find a 95% confidence interval for the mean height of 3-year old elm trees.