Refer to the Mega-Stat/Excel Output for the Wilcoxon Signed Rank $8 \quad\quad\mathrm { n }$

question 13

Multiple Choice

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below.
Wilcoxon Signed Rank Test
variables: Group 1 - Group 2
5.5 sum of positive
ranks
30.5 sum of negative
ranks
$8 \quad\quad\mathrm { n }$
18.00 $\quad$ expected value
5.74 $\quad$ standard deviation
$- 2.18\quad \mathrm { z }$ , corrected for ties
.0296 $\quad$ p-value (two-
$\quad$$\quad$$\quad$ tailed)
-At a significance level of .01,which one of the following statements is correct when the alternative hypothesis is H_a: D₁ is shifted to the left of D₂?

• A)We reject H₀ and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2.
• B)We failed to reject H₀ and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2.
• C)We reject H₀ and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2.
• D)We failed to reject H₀ and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2.
• E)We failed to reject H₀ and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2.

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Definitions:

Mixed Cost

Expenses that have both fixed and variable components, changing in total with the level of activity but also containing a constant element.

Least-squares Regression

A statistical technique that identifies the most accurate line of fit by reducing the total of the squared differences between the actual and forecasted values.

Mixed Cost

Expenses that contain both fixed and variable components, changing with the level of output or activity.

High-low Method

A technique used in managerial accounting to estimate variable and fixed cost components of a cost formula, using the highest and lowest levels of activity.