A manufacturer of light globes claims that their new design has a 20% longer life…
MATHEMATICS · Multi-part · A Level · Mathematics · Data presentation and interpretation · Data presentation and interpretation
Problem
A manufacturer of light globes claims that their new design has a 20% longer life than those they are presently selling. Forty of each globe are randomly selected and tested. Here are the results to the nearest hour:
*Old type:* 103 96 113 111 126 100 122 110 84 117 103 113 104 104
111 87 90 121 99 114 105 121 93 109 87 118 75 111
87 127 117 131 115 116 82 130 113 95 108 112
*New type:* 146 131 132 160 128 119 133 117 139 123 109 129 109 131
191 117 132 107 141 136 146 142 123 144 145 125 164 125
133 124 153 129 118 130 134 151 145 131 133 135
(1) Is the variable discrete or continuous?
(2) Enter the data into a graphics calculator or statistics package. Compare the measures of centre and spread.
(3) Draw a parallel box plot.
(4) Describe the shape of each distribution.
(5) What conclusions, if any, can be drawn from the data?