Fungus in the air. The air in poultry processing plant often contains fungus spores. Inadequate ventilation 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 "colony-forming units (CFUSs)" are counted after an incubation period. Here are the data from two locations in a plant that process 37,000 turkeys per day, taken on five days in the summer. The units are CFUS per cubic meter of air. 

         Day 1 Day 2 Day3 Day4 Day5

Kill Room       3054 2673 1653 1090 1988

Processing 529 139 362 244 347

 

Perform a matched pairs t procedure on the fungus data in part 3. Use a significance level of 0.01.

 

State: Is there evidence the Kill Room has more CFUs than the Processing room on average? That is, is the average difference greater than zero? Kill Room minus Processing. 

 

Plan:

a.  State the null and alternative hypotheses to answer the question of interest.

 

 

Solve:

     b.  Check conditions. Specifically, why might we be concerned to perform a t procedure?

 

  

     c. Calculate the test statistic.       n = __________

 

Day1 Day2 Day3 Day4 Day5

Kill Room 3054 2673 1653 1090 1988

Processing 529 139 362 244 347

Difference _?_ _?_ _?_ _?_ _?_

 

d. What is the p-value for the test? Is it one or two sided?

 

 

e. Calculate the 99% confidence interval for the average difference in CFUs.

 

Conclude:

f. Using the results from above, what is a four part conclusion to answer the question of interest. Include context.

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