Perform a Kruskal-Wallis Test Using the Critical-Value Approach

question 1

Essay

Perform a Kruskal-Wallis test using the critical-value approach.
-The table below shows the lifetimes (in hours)of random samples of light bulbs of three different brands. At the 0.01 significance level, do the data provide sufficient evidence to conclude that a difference exists between the three population means? $$\begin{array} { l | l | l } \text { Brand A } & \text { Brand B } & \text { Brand C } \\ \hline 190 & 182 & 203 \\ 220 & 170 & 210 \\ 230 & 203 & 199 \\ 215 & 175 & 200 \\ 224 & 178 & 196 \\ 231 & 181 & 197 \end{array}$$

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Definitions:

Rounded

The process of adjusting a numerical value to its nearest preferred value, often to a specified degree of precision.

Rounding Rules

Guidelines for adjusting the digits of numbers to a specific place value, often used to simplify numbers or to adhere to a level of precision.

Rounded

Adjusted to a simpler or more general form, often to the nearest whole number.

Median

The middle value in a sorted list of numbers, providing a measure of central tendency that is not skewed by extreme values.