Question: Air in poultry-processing plants. The air in poultryprocessing plants often contains fungus spores. If the ventilation is inadequate, this can affect the health of the

Air in poultry-processing plants. The air in poultryprocessing plants often contains fungus spores. If the ventilation is inadequate, this can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and “colonyforming units (CFUs)” are counted after an incubation period.

Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.35 DATADATA DATADATADATA DATADATADATADATADATA DATADATADATADATADATA DATADATADATADATADATA DATADATADATADATADATA DATADATADATADATADATA DATADATADATADATADATA DATADATADATA DATADATADATADATADATA DATA FILE AIRPOULTRY Day 1 Day 2 Day 3 Day 4 Kill room 3175 2526 1763 1090 Processing 529 141 362 224

(a) Explain carefully why these are matched pairs data.

(b) The spore count is clearly higher in the kill room. Give sample means and a 90% confidence interval to estimate how much higher. Be sure to state your conclusion in plain English.

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