Question

In: Statistics and Probability

A program to decrease littering was carried out in four cities in California’s Central Valley starting...

A program to decrease littering was carried out in four cities in California’s Central Valley starting in August 2007. The amount of litter in the streets (average pounds of litter collected per block per day) was measured during July before the program started and then the next July, after the program had been in effect for a year. The results are as follows:

City

July 2007

July 2008

Fresno

9

2

Merced

10

4

Bakersfield

8

9

Stockton

9

1

  1. Using the .01 significance level, was there a significant decrease in the amount of litter? Use the steps of hypothesis testing (15 pts). To get full credit you must state the null and alternative hypothesis in both words and symbols, and state your conclusion fully

Solutions

Expert Solution

Given:

A program to decrease littering was carried out in four cities in California’s Central Valley starting in August 2007.

The amount of litter in the streets (average pounds of litter collected per block per day) was measured during July before the program started and then the next July, after the program had been in effect for a year. The results are as follows:

City

July 2007, X

July 2008, Y

d = X-Y d2

Fresno

9

2

7 49

Merced

10

4

6 36

Bakersfield

8

9

-1 1

Stockton

9

1

8 64
Total d= 20 d2 = 150

Hypothesis test:

In word :

Ho : There a significant decrease in the amount of litter.

Ha : There a significant decrease in the amount of litter.

In symbol :

Ho : = 0

Ha : < 0

Conclusion : At 0.01 significance level, there is not a significant decrease in the amount of litter.


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