Consider the following survival times of a new brand of energy efficient light bulbs (in1000's of hours)::
1.50 1.70 1.34 1.24 1.66 1.84 1.20 1.54 1.68 1.58 1.56 1.68 1.70 1.50 1.34 1.54 1.60 1.72 1.80 1.64 1.62 1.56 1.70 1.88 1.82 1.76 1.56 1.88 1.60 1.62 1.50 1.88 1.48 1.56 1.04 1.70 1.26 1.58 1.34 1.42.
(a) Using the percentile method, calculate the median, first and third quartiles, theinterquartile range, and the low and high fences.
(b) Use the information in (a) to construct a boxplot.
(c) Describe the shape of the boxplot. What does this mean in terms of survivaltimes of the new light bulbs?
(d) Use the percentile method to determine the 33rd and 80th percentiles. Interpretthese percentiles.