A Spinner Is Mounted on a Piece of Cardboard Divided $\frac { 1 } { 6 }$

question 23

Multiple Choice

A spinner is mounted on a piece of cardboard divided into six areas of equal size. Each of the six areas is a different color (blue, yellow, red, green, white and orange) . When the spinner is spun, each color should be selected by the spinner approximately $\frac { 1 } { 6 }$ of the time. A student suspects that a certain spinner is defective. The suspected spinner is spun 90 times. The results are shown below. Calculate the chi -square test statistic $x ^ { 2 }$ to test the student's claim. Use $\alpha$ =0.10 .
$\begin{array} { l | c c c c c c } \text { Color } & \text { Blue } & \text {Yellow } &\text { Red } & \text { Green } & \text { White } & \text {Orange } \\ \hline \text { Frequency } & 15 & 12 & 11 & 17 & 19 & 16\end{array}$

• A) 3.067
• B) 2.143
• C) 5.013
• D) 4.312

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Definitions:

Interval Data

A type of numerical data that contains meaningful distances between measurements, but no true zero point.

Fahrenheit Scale

A temperature scale where the freezing and boiling points of water are 32 degrees and 212 degrees, respectively.

Temperature

The measure of the hotness or coldness of a body or environment, indicating the degree of heat energy present.

Ordinal Data

A type of categorical data with a clear ordering or ranking among the categories, but without a precise mathematical difference between those rankings.