3. Suppose the 3 friends want to investigate the types of cars that students at WSU drive. Using the hypothetical data provided below, test whether the mean number of each type (compact mean, midsize mean, full-size mean) of cars are equal. Use a = 0.05 Compact Cars 650 Friend/observation 1 Friend/observation 2 677 Friend/observation 3 703 Midsize Cars Full-size Car 453 469 423 455 515 401 (a) State the null and alternative hypotheses (b) Calculate the appropriate test statistic (c) construct the full ANOVA table

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3. Suppose the 3 friends want to investigate the types of cars that students at WSU drive. Using the hypothetical data provided below, test whether the mean number of each type (compact mean, midsize mean, full-size mean) of cars are equal. Use \( \alpha = 0.05 \).

\[
\begin{array}{lccc}
 & \text{Compact Cars} & \text{Midsize Cars} & \text{Full-size Car} \\
\hline
\text{Friend/observation 1} & 650 & 453 & 469 \\
\text{Friend/observation 2} & 677 & 423 & 455 \\
\text{Friend/observation 3} & 703 & 515 & 401 \\
\end{array}
\]

(a) State the null and alternative hypotheses.

(b) Calculate the appropriate test statistic.

(c) Construct the full ANOVA table.
Transcribed Image Text:3. Suppose the 3 friends want to investigate the types of cars that students at WSU drive. Using the hypothetical data provided below, test whether the mean number of each type (compact mean, midsize mean, full-size mean) of cars are equal. Use \( \alpha = 0.05 \). \[ \begin{array}{lccc} & \text{Compact Cars} & \text{Midsize Cars} & \text{Full-size Car} \\ \hline \text{Friend/observation 1} & 650 & 453 & 469 \\ \text{Friend/observation 2} & 677 & 423 & 455 \\ \text{Friend/observation 3} & 703 & 515 & 401 \\ \end{array} \] (a) State the null and alternative hypotheses. (b) Calculate the appropriate test statistic. (c) Construct the full ANOVA table.
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