Permeation sampling is a method of sampling air in buildings for pollutants. It can be used over a long period of time and is not affected by humidity, air currents, or temperature. In the paper €œCalibration of Permeation Passive Samplers With Silicone Membranes Based on Physicochemical Properties of the Analytes€(Analytical Chemistry, Vol. 75, No. 13, pp. 3182€“3192), B. Zabiegata et al. obtained calibration constants experimentally for samples of compounds in each of four compound groups. The following data summarize their results.

At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean calibration constant among the four compound groups? T1 = 0.638, T2 = 1.206, T3 = 0.870, T4 = 0.499, and _x2i = 0.456919.
Apply Procedure to perform a one-way ANOVA test by using either the critical-value approach or the P-value approach.

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Aliphatic Aromatic Esters Alcohols hydrocarbons hydrocarbons 0.166 0.144 0.185 0.185 0.155 0.160 0.131 0.142 0.103 0.122 0.064 0.117 0.115 0.110 0.095 0.085 0.075 0.230 0.184 0.160 0.132 0.100 0.064 0.072