Question

al. Floods: Rapid drainage of floodwater is crucial to prevent damage during heavy rains. Several designs for a drainage canal were considered for a certain city. Each design was tested five times, to determine how long it took to drain the water reservoir. The following table presents the drainage times, in minutes, Channel Type Drainage Time 24.7 29.4 2 3 40.6 40.8 90.3 41.5 24.5 38.9 48.1 51.2 38.3 25.4 32.5 33.7 35.2 22.4 24.9 26.3 31.1 33.5 23.7 26.9 45.0 47.2 48.5 37.340.1 30.4 31.8 46.3 5 Can you conclude that there is a difference in the mean drainage times for the different channel designs? Use the a=0.01 level of significance and the ANOVA table shown below. One way ANOVA: Drainage Source Channel Error DF 4 P 0.0071 SS MS F 964.0767 241.0192 4.4968 1339.945 53.5978 2304.0217 25 29 Total Send data to Excel There (Choose one) y enough evidence to conclude that there is a difference in the mean drainage times for the different channel designs.

Answer 1

$H_o:\mu_1=\mu_2=\mu_3=\mu_4=\mu_5=\mu_6$

Ha: Not all means are equal

p value is less than 0.01 so reject the null hypothesis.

there is enough evidence to conclude that there is a difference in the mean change times for the different channel designs.