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A manufacturer owns factories in the UK manufacturing furnitures. Assembling king size bed is a long process and is a bottleneck. The senior management team are looking for ways to speed up the process. They decide to train their staffs, which could help to faster the assembly process. 6 workers take part in the training.
\nThe following table gives the average time in minutes it take a worker to assemble a bed before the training and after the training.
\nTable 2: Average time to assemble a king size bed before training and after training (in minutes)
\n\n Worker \n | \n\n A \n | \n\n B \n | \n\n C \n | \n\n D \n | \n\n E \n | \n\n F \n | \n
\n Time Before \n | \n\n 210 \n | \n\n 180 \n | \n\n 195 \n | \n\n 220 \n | \n\n 231 \n | \n\n 199 \n | \n
\n Time After \n | \n\n 193 \n | \n\n 182 \n | \n\n 186 \n | \n\n 186 \n | \n\n 220 \n | \n\n 183 \n | \n
Use a paired t-test at a 5% significance level determine if the training has reduced the time taken to assemble a king size bed.
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