The numbers of defective mechanical pencils produced by two production lines, A and B, were recorded daily for a period of 10 days, with the results shown in Table 15.6. The response variable, the number of defective pencils, has an exact binomial distribution with a large number of pencils produced per day. Although this variable will have an approximately normal distribution, the plant supervisor would prefer a quick and easy statistical test to determine whether one production line tends to produce more defectives than the other. Use the sign test to test the appropriate hypothesis.

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Table 15.6 Defective Pencils from Two Production Lines Day Line A Line B Sign of Difference 1 170 201 10 234567890 164 179 140 159 184 195 174 177 142 170 191 183 169 179 161 170 +111 200 212