Question

In: Statistics and Probability

The editor of the student newspaper was in the process of making some major changes in...

The editor of the student newspaper was in the process of making some major changes in the newspaper’s layout. He was also contemplat- ing changing the typeface of the print used. To help himself make a decision, he set up an experiment in which 20 individuals were asked to read four newspaper pages, with each page printed in a dif- ferent typeface. If the reading speed differed, then the typeface that was read fastest would be used. However, if there was not enough evidence to allow the editor to conclude that such differences existed, the current typeface would be continued. The times (in seconds) to completely read one page were recorded. What should the editor do?

Typeface 1 Typeface 2 Typeface 3 Typeface 4
110 123 115 115
118 119 110 134
148 184 139 143
147 145 141 185
159 191 152 171
200 209 194 222
114 116 102 123
148 147 143 151
132 138 127 150
158 175 134 152
159 150 161 177
127 142 131 130
189 202 182 183
167 195 153 174
146 167 136 151
135 126 115 165
124 135 133 122
146 150 143 151
122 136 113 138
129 147 110 137

Solutions

Expert Solution

The following are the continuous observatins. So, one can use is one way ANOVA . I have used R where R code is above and output is at lower side.

The null and alternative hypotheses will be:-

In words with each typerface, reading speed is same and alternative hypotheses will be that reading speed differ significant.

Taking significance level at 0.05 here p-value is  0.0899 > 0.05 , therefore we fail to reject null hypothesis, So typerface does not effect reading speed. So, there is not enough evidence to allow the editor to conclude that such differences existed, the current typeface would be continued.

NOTE:- Here, tukey test is applied which is not necessary, if null hypothesis is rejected then for see the significant difference we apply tukey test.


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