The subjects of a study by J. Jose and S. R. Ell (A-13) were 303 healthy volunteers who selfassessed their own nasal flow status by indicating whether their nasal airway was (1) totally clear, (2) not very clear, (3) very blocked, or (4) totally blocked. Following the self-assessment, an In-Check meter was used to measure peak inspiratory nasal flow rate (PINFR, L/min). Data on 175 subjects in three of the self-assessment categories are displayed in the following table.

The authors performed a Kruskal–Wallis test to determine if these data provide sufficient evidence to indicate a difference in population centers of PINFR among these three response groups.

Let What is the test statistic value for this test?

Peak Inspiratory Nasal Flow Rate (L/min)
Totally Clear Not Very Clear Partially Blocked 180 105 150 120 160 190 130 100 150 150 110 95 200 95 110 100 200 240 130 140 70 130 110 100 130 120 100 135 75 240 130 105 200 90 170 100 150 180 125 95 120 135 80 130 80 140 100 85 150 110 125 180 130 150 230 50 150 155 115 155 160 130 110 105 160 105 140 130 180 90 270 200 150 140 140 140 90 115 180 110 200 95 120 180 130 130 190 170 110 290 140 210 125 150 150 160 170 230 190 90 120 120 90 280 220 135 210 180 170 135 150 130 130 140 140 200 110 185 180 210 125 130 160 130 150 140 90 210 230 180 170 150 140 125 120 200 170 130 170 120 140 115 140 160 115 210 140 160 100 150 150 145 140 150 230 130 170 100 130 140 190 100 130 180 100 170 160 210 120 110 160 180 160 120 130 120 150 200 130 90 230 190 150 110 90 200 110 100 220 110 90 130 120 130 190 160 150 120 140 145 130 90 105 130 115 200 130 120 100 120 150 140 220 100 130 125 140 130 130 200 130 180 180 130 145 160 120 160 140 200 115 160 110 310 125 175 160 115 120 165 160 100 185 170 100 220 120 115 140 190 85 150 145 150 Peak Inspiratory Nasal Flow Rate (L/min)
Totally Clear Not Very Clear Partially Blocked 170 185 130 150 130 150 170 130 180 160 280 130 120 110 220 115 160 140 170 155 120 250 260 130 100 130 100 85 160 160 135 140 145 140 130 170 130 90 130 115 120 190 150 150 190 130 160 130 170