Chapter 5, Problem 40E

a)

To determine

To explain why the acre-feet is a good way to measure the amount of precipitation produced by cloud seeding.

Answer to Problem 40E

Because it describes the volume of the precipitation.

Explanation of Solution

Given:

  

Calculation:

As it describes the volume of the precipitation. Hence, the acre-feet are a good way to measure the amount of precipitation produced by cloud seeding.

b)

To determine

To create a boxplot.

Explanation of Solution

Given:

  

Calculation:

The boxplot is,

  

The shape of the distribution extremely right skewed. The center is around 200. The spread of the distribution is around between 0 and 700. It contains 4 outlier values.

c)

To determine

To create re-expression of this data.

Explanation of Solution

Given:

  

Calculation:

First step to take a natural logarithm of give data values:

7.9175	6.5554	5.7104	5.4889	4.7791	3.6889	1.9459
7.4366	6.1924	5.6131	5.2983	4.7707	3.4657	1.3863
7.4122	6.0638	5.6131	5.2883	4.7449	3.4340
6.8855	5.8111	5.5413	4.8598	4.5218	2.8332

Therefore, boxplot of these data is,

  

d)

To determine

To explain re-expression scale means.

Explanation of Solution

Given:

  

  

The purpose of re-expression is to make the distribution more symmetric and minimize the outliers. Therefore, it will easy to summarize and it will give more precise results.