Question

Asked Dec 2, 2019

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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 designs was tested five times, to determinehow longit took to drain the water in a reservoir. The following table pesents the drainage times, in minutes.

Channel Type Drainage Time

1 41.4 43.4 50.5 41.2

2 38.7 48.3 51.1 38.3

3 32.6 33.7 34.8 22.5

4 26.3 30.9 33.3 23.8

5 44.9 47.2 48.5 37.1

a. Construct an ANOVA table.

b. 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.

Step 1

(A)

According to the provided information, drainage time for the different channel design are given. Each drainage tested for 5 times.

There is only one factor which is drainage time. So, clearly it is a one way ANOVA.

Excel software is used to construct the ANOVA Table.

**Software Procedure**

Step by step procedure to calculate ANOVA using Excel.

- Inter the data into worksheet
- Go to
**DATA**>**Data Analysis** **Anova : Single Factor**- Select the data into
**Input Range** - Select
**Grouped By:**Row - Select
**Alpha**0.01 - Click
**OK**in each dialogue box.

The output of the ANOVA is shown below.

Step 2

B) In order to conclude whether there is difference in the mean drainage t...

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