Bill works at a factory and monitors the production output of one of the machines. he conducts an anova test to test the hypothesis that the mean output of the machine is not affected by which operator is using the machine. there are three different operators who use the machine on different days of the week, and bill records the output of the machine on a series of randomly selected days for each of the three operators. a one-way anova test is conducted with a level of significance of 0.05. a p-value of 0.13 is calculated. barbara also monitors the production output of this machine. in a completely independent test to bill, barbara tries to determine if the mean output of the machine is affected by the quality of the raw materials that are used with the machine. barbara develops three categories of quality: good, average, and poor. for each quality grade, barbara randomly selects a series of days when that quality grade of material is used with the machine. she records the output of the machine on each day. a one-way anova test is conducted with a level of significance of 0.05. a p-value of 0.011 is calculated.