Question

The City of Charlotte is experiencing flooding. The City has determined that it will activate the flood

gates when the average flood level reaches 2 feet. The flood control system is activated and

resources are directed to flood control when the flood condition is equal to or more than the 2 feet

standard the City has set. The City sampled 20 spots in the urban area between 7:00am and 8:00am.

This data set will be posted to Canvas. Examine the data using the concepts you have learned in

Chapter 10. Should the City activate the flood control system? Why or why not?

Data Set:

Areas. Feet of Flood Water

1 0

2 3

3 1

4 2

5 0

6 0

7 2

8 3

9 1

10 3

11 2

12 2

13 5

14 1

15 2

16 0

17 2

18 1

19 0

20 2

Answer 1

H0: Null Hypothesis: 2 (Flood condition is equal to or more than the 2 feet standard the City has set)

HA: Alternative Hypothesis: 2 (Flood condition is not equal to or more than the 2 feet standard the City has set)

From the given data, the following statistics are calculated:

n = 20

= 1.6

s = 1.3139

SE = s/

= 0.2938

Test statistic is given by:

t = (1.6 - 2)/0.2938

= - 1.3615

Take = 0.05

ndf = n - 1 = 20 - 1 = 19

One Tail - Left Side Test

From Table, critical value of t = - 1.9271

Since calculated value of t = - 1.3615 is greater than critical value of t =- 1.9271, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data support the claim that flood condition is equal to or more than the 2 feet standard the City has set. So, the City should activate the flood control system.