Become less valuable over time
<span>The difference between scarcity an shortage is that a scarcity is something that occurs naturally due to limitations on the resources that have no way to be replenished. A shortage comes from a condition in the market when a certain good is set at a certain price. So the correct answer is B.</span>
Answer:
D. can result in a negative value for the coefficient of the included variable, even though the coefficient will have a significant positive effect on Y if the omitted variable were included
Explanation:
The percentage increase in the total sales for 2006 is 15% while the increase in sales of the trench coats is 23.3%; therefore the percentage increase in total sales of trench coats is 8.3% faster.
Computation:
1. The total amount of sales for 2006 and 2007:
![\begin{aligned}\text{Sales of 2006}&=103+297+210+213+137\\&=960\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BSales%20of%202006%7D%26%3D103%2B297%2B210%2B213%2B137%5C%5C%26%3D960%5Cend%7Baligned%7D)
![\begin{aligned}\text{Sales of 2007}&=127+223+210+285+259\\&=1104\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BSales%20of%202007%7D%26%3D127%2B223%2B210%2B285%2B259%5C%5C%26%3D1104%5Cend%7Baligned%7D)
2. Now, the percentage increase will be determined for the total number of coats and trench coats:
For the total number of coats, the values used will be the total sales of 2006, and total sales of 2007.
![\begin{aligned}\text{Percentage Increase}&=\dfrac{\text{Sales of 2007}-\text{Sales of 2006}}{\text{Sales of 2006}}\times100\\&=\dfrac{1104-960}{960}\times100\\&=15\%\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BPercentage%20Increase%7D%26%3D%5Cdfrac%7B%5Ctext%7BSales%20of%202007%7D-%5Ctext%7BSales%20of%202006%7D%7D%7B%5Ctext%7BSales%20of%202006%7D%7D%5Ctimes100%5C%5C%26%3D%5Cdfrac%7B1104-960%7D%7B960%7D%5Ctimes100%5C%5C%26%3D15%5C%25%5Cend%7Baligned%7D)
For the trench coats the values used will be the sale of trench coats in 2006 and 2007.
![\begin{aligned}\text{Percentage Increase in Sale of Trench Coat}&=\dfrac{\text{Sales of 2007}-\text{Sales of 2006}}{\text{Sales of 2006}}\times100\\&=\dfrac{127-103}{103}\times100\\&=23.33\%\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BPercentage%20Increase%20in%20Sale%20of%20Trench%20Coat%7D%26%3D%5Cdfrac%7B%5Ctext%7BSales%20of%202007%7D-%5Ctext%7BSales%20of%202006%7D%7D%7B%5Ctext%7BSales%20of%202006%7D%7D%5Ctimes100%5C%5C%26%3D%5Cdfrac%7B127-103%7D%7B103%7D%5Ctimes100%5C%5C%26%3D23.33%5C%25%5Cend%7Baligned%7D)
3. Now, the net percentage increase in sales due to the trench coats is computed as follows:
![\begin{aligned}\text{Net Percentage Change}&=\text{\text{Percentage Increase in Trench Coat}-\text{Percentage Increase}}\\&=23.33\%-15\%\\&=8.3\%\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%7BNet%20Percentage%20Change%7D%26%3D%5Ctext%7B%5Ctext%7BPercentage%20Increase%20in%20Trench%20Coat%7D-%5Ctext%7BPercentage%20Increase%7D%7D%5C%5C%26%3D23.33%5C%25-15%5C%25%5C%5C%26%3D8.3%5C%25%5Cend%7Baligned%7D)
Therefore, the correct option is option B. Sales of trench coats increased 8. 3 percentage points faster than total coat sales.
To know more about percentages of increase in sales, refer to the link:
brainly.com/question/45525
Answer:
The complete question is given in the explanation box below and the solutions to the problem is shown in the pictures attached herewith accordingly. Thank you.
Explanation:
a. Determine the degrees of freedom for this test.
b. Compute the test statistic.
c. Compute the p-value.
d. What is your conclusion? Let α = .05.