A biology student does a study to investigate the association between the amount of sunlight and the number of roses on a rosebush in one summer.(The ${\mathrm{R}}^2$ value is 58%) He claims that the amount of sunlight determines 58% of the number of roses on a rosebush in one summer.

A) The ${\mathrm{R}}^2$ has to be greater than 90% to make a statement like this.
B) The amount of sunlight accounts for 58% of the variation in the number of roses.It does not determine the number of roses.
C) The amount of sunlight will increase the number of roses 58% of the time.
D) The amount of variation in sunlight changes 58% of the time.This tells us nothing about the number of roses.
E) There is nothing wrong with the interpretation.

A researcher states the following hypotheses: H₀: μDogs = μCats and H₁: μDogs ≠ μ Cats. Assuming she collects data from 9 dogs and 9 cats, what is the appropriate critical value?

A) 1.734
B) 2.120
C) 2.110
D) 2.101

Determine a) whether the earlier or later payment has the greater economic value at the given interest rate and b) the interest rate at which the two payments would be equivalent:

A binomial distribution is used for a variable that consists of exactly two categories.

The range of probability values is

A) 0 to infinity.
B) minus infinity to plus infinity.
C) 0 to 1.
D) -1 to 1.

Describe the elementary row operation used to transform the first matrix [3560220−3−4]\left[ \begin{array} { c c c } 3 & 5 & 6 \\0 & 2 & 2 \\0 & - 3 & - 4\end{array} \right]​300​52−3​62−4​​ into the second matrix [356022032]\left[ \begin{array} { l l l } 3 & 5 & 6 \\0 & 2 & 2 \\0 & 3 & 2\end{array} \right]​300​523​622​​ .

A) Add 4 times the third row to the second row.
B) Add 4 times the second row to the third row.
C) Add 3 times the third row to the second row.
D) Add 3 times the second row to the third row.
E) Add 2 times the second row to the third row.

Find $(g\circ f)(x)$ where $f(x)=4x+5$ and $g(x)=x-2$ .

A) $4x+3$
B) $4x^2-3x-10$
C) $4x-3$
D) $5x+3$
E) $4x^2-8x+5$

When the sample sizes from both populations are larger than ____________________,the Wilcoxon rank sum statistic has an approximate normal distribution.