Two Types of Fish Attractors, One Made from Vitrified Clay $\quad$

question 24

Essay

Two types of fish attractors, one made from vitrified clay pipes and the other from cement blocks and brush, were used during 16 different time periods spanning 4 years at Lake Tohopekaliga, Florida The following observations are of fish caught per fishing day. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Period }$
$\begin{array}{l|cccccccc} \hline& \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} & \mathbf{8} \\\hline \text { Pipe } & .00 & 1.80 & 4.86 & .58 & .37 & .32 & .11 & .23 \\\text { Brush } & .48 & 2.33 & 5.38 & .79 & 32 & .76 & .52 & .91 \\\hline\end{array}$



$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Period }$
$\begin{array}{l|cccccccc} \hline& \mathbf{9} & \mathbf{1 0} & \mathbf{1 1} & \mathbf{1 2} & \mathbf{1 3} & \mathbf{1 4} & \mathbf{1 5} & \mathbf{1 6} \\\hline \text { Pipe } & .29 & .85 & 6.64 & .57 & 1.83 & 7.89 & .63 & .42 \\\text { Brush } & .75 & 1.61 & 9.73 & .83 & 2.17 & \mathbf{8 . 2 1} & .56 & .75 \\\hline\end{array}$


Does one attractor appear to be more effective on average than the other?
a. Use the paired t test with $\alpha = .01 \text { to test } H _ { 0 } : \mu _ { D } = 0 \text { versus } H _ { 0 } : \mu _ { D } \neq 0$

b. What happens if the two-sample t test is used $\left( s _ { 1 } = 2.48 \text { and } s _ { 2 } = 2.91 \right) ?$

---

Definitions:

Foreign Corporation

Firm that operates in states where it is not incorporated.

Domestic Corporation

Company that operates in the state where it is incorporated.

Alien Corporation

Firm incorporated in one nation and operating in another nation.

Common Stock

Represents ownership shares in a corporation, giving holders voting rights and a claim on a portion of the company’s profits through dividends.