Western Metal Products is testing two new air filtration systems designed to reduce the fine particulate matter (PM2.5) that its furnaces release into the atmosphere through a large smokestack. Air samples were taken at five random times over the course of a one week test period for each of the two proposed systems. In each case, the air was tested and the amount of PM2.5 was measured in micrograms per cubic meter of air (µg/m₃). The five test readings for each filtration system are reported in the table:

a. Use the t test described in Chapter 10 to test the null hypothesis that the level of PM2.5 is the same for the two filtration systems. The significance level is .05. 

b. Use analysis of variance to test the hypothesis in part a and summarize your results in a proper ANOVA table. 

c. Compare your results in part b to your results in part a. What is the relationship between the t value and the F value here?

Transcribed Image Text:

Filtration System A 53 47 50 51 59 Filtration System B 35 27 39