Use the Kruskal-Wallis Test to Determine If There Is a Difference

question 68

Multiple Choice

Use the Kruskal-Wallis test to determine if there is a difference in the means of these five groups. With $\alpha = 0.5$ , and the $d \cdot f = k - 1 = 5 - 1 = 4$ , the critical value is $9.488$ . Rank the above data and calculate the value for $H$ . Choose the correct table for the summary of the ranking results and the calculation of the $H$ value.
Refer To:13-58

• A)\(\begin{array}{ccccc} \hline \text { Group A } & \text { Group B Group C Group D Group E } \\ \hline 105 & 36 & 85 & 63 & 36 \end{array}\)
• B) \(\begin{array}{l} H = 13.61\\ \begin{array} { c c c c c } \hline \text { Group A}&\text { Group B }&\text {Group C }&\text {Group D }&\text {Group E } \\ \hline 105 & 56 & 72 & 63 & 36 \end{array} \end{array}\)
• C) \(\begin{array}{l} H = 12.87\\ \begin{array} { c c c c c } \hline \text { Group A}&\text { Group B }&\text {Group C }&\text {Group D }&\text {Group E } \\ \hline 105 & 62&71&63&36 \end{array} \end{array}\)

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Definitions:

Mean

The arithmetic average of a set of values or quantities, calculated by dividing the total of all values by the number of values.

Standard Normal

A normal distribution with a mean of zero and a standard deviation of one, used as a basis for comparison with other normal distributions.

Random Variable

A variable that takes on different values randomly, each with a particular probability associated with it.

Standard Deviations

Measures of dispersion that indicate how spread out the values in a data set are around the mean.