A Scientist Is Hoping to Compare the Levels of DDT

question 80

Short Answer

A scientist is hoping to compare the levels of DDT toxin found in three species of fish in a local river. He randomly samples 7 of each species to use in the analysis. For each fish, he measures the amount of DDT toxin present. The data is shown below: $$\begin{array}{l}\text { Species }\\\begin{array} { c | c | c } 1 & 2 & 3 \\\hline 8.4 & 4.5 & 0.58 \\15 & 4.2 & 2 \\25 & 3 & 2.2 \\5.6 & 2.3 & 7.4 \\4.6 & 2.5 & 0.35 \\8.2 & 6.8 & 1.9 \\6.1 & 5.1 & 2.7\end{array}\end{array}$$

Ideally he will be able to determine if a difference exists in the population of DDT toxins found in the three fish species. Identify the rejection region that should be used to conduct the Kruskal-Wallis $\mathrm { H } -$ Test at $\alpha = 0.05$ .
A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { H } > 7.81473$
B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { H } > 9.48773$
C) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { H } > 7.37776$
D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { H } > 5.99147$

• A) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { H } > 7.81473\)
• B) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { H } > 9.48773\)
• C) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { H } > 7.37776\)
• D) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { H } > 5.99147\)

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Definitions:

Skewed

Describes a distribution that is not symmetrical, with data points that are more frequent on one side than the other.

Acres

A unit of area used primarily in the United States, equal to 4,840 square yards or about 4,047 square meters.

Stem-and-Leaf Display

A graphical method of displaying quantitative data to observe its distribution, resembling a histogram turned on its side for clearer numeric value reading.

Diastolic

refers to the blood pressure in the arteries when the heart rests between beats.