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6. (5 points) Researchers examined working memory capacity (how many items, like words or numbers) people can hold in their mind as a function of age (children, young adults, and older adults.) Participants from each of the three groups took the digit span task. Children had a mean working memory capacity of 4.2, older adults had a mean working memory capacity of 5.8, and young adults had a mean working memory capacity of 7 . Results of an ANOVA and Tukey's HSD test are shown below. Write up the findings in a paragraph, including the relevant information from the output and an interpretation. \begin{tabular}{|c|c|c|c|c|c|} \hline \begin{tabular}{l} ANOVA \\ output \end{tabular} & \begin{tabular}{lrr} & Df & Su \\ wm\$Group & 2 & 1 \\ Residuals & 12 & 2 \\ \hdashline- & & \\ Signif. & codes: & 0 \end{tabular} & \begin{tabular}{l} um Sq M \\ 19.73 \\ 23.60 \\ 0 cok* $ ^{\prime} $ \end{tabular} & \begin{tabular}{cc} Mean Sq F F value F \\ 9.867 & 5.017 \\ 1.967 & \\ 0.001 & '**' 0.01 \end{tabular} & \begin{tabular}{l} $ \operatorname{Pr}(>F) $ \\ $ 0.0261 * $ \\ 1 \&*, 0.05 \end{tabular} & $ \because 0.1 \cdot, 1 $ \\ \hline \begin{tabular}{l} Tukey's \\ HSD output \end{tabular} & \begin{tabular}{l} \begin{tabular}{r} Tukey multip \\ $ 95 \% $ family \end{tabular} \\ Fit: aov(formu \\ \$ wm\$Group \\ OAdult-Child \\ YAdult-Child \\ YAdult-OAdult \end{tabular} & \begin{tabular}{l} ple cc \\ y-wist \\ ula $ = $ \\ \\ diff \\ 1.6 \\ 2.8 \\ 1.2 \end{tabular} & \begin{tabular}{l} omparisons of \\ e confidence \\ wm\$Score w \\ lwr \\ -0.76624123 \\ $ 0.4337588 \quad 5 $ \\ -1.16624123 \end{tabular} & & \begin{tabular}{r} padj \\ 0.2098219 \\ 0.0209244 \\ 0.3947346 \end{tabular} \\ \hline \end{tabular}

          6. (5 points) Researchers examined working memory capacity (how many items, like words or numbers) people can hold in their mind as a function of age (children, young adults, and older adults.) Participants from each of the three groups took the digit span task. Children had a mean working memory capacity of 4.2, older adults had a mean working memory capacity of 5.8, and young adults had a mean working memory capacity of 7 . Results of an ANOVA and Tukey's HSD test are shown below. Write up the findings in a paragraph, including the relevant information from the output and an interpretation.
\begin{tabular}{|c|c|c|c|c|c|}
\hline \begin{tabular}{l} 
ANOVA \\
output
\end{tabular} & \begin{tabular}{lrr} 
& Df & Su \\
wm\$Group & 2 & 1 \\
Residuals & 12 & 2 \\
\hdashline- & & \\
Signif. & codes: & 0
\end{tabular} & \begin{tabular}{l} 
um Sq M \\
19.73 \\
23.60 \\
0 cok* \( ^{\prime} \)
\end{tabular} & \begin{tabular}{cc} 
Mean Sq F F value F \\
9.867 & 5.017 \\
1.967 & \\
0.001 & '**' 0.01
\end{tabular} & \begin{tabular}{l}
\( \operatorname{Pr}(>F) \) \\
\( 0.0261 * \) \\
1 \&*, 0.05
\end{tabular} & \( \because 0.1 \cdot, 1 \) \\
\hline \begin{tabular}{l} 
Tukey's \\
HSD output
\end{tabular} & \begin{tabular}{l}
\begin{tabular}{r} 
Tukey multip \\
\( 95 \% \) family
\end{tabular} \\
Fit: aov(formu \\
\$ wm\$Group \\
OAdult-Child \\
YAdult-Child \\
YAdult-OAdult
\end{tabular} & \begin{tabular}{l} 
ple cc \\
y-wist \\
ula \( = \) \\
\\
diff \\
1.6 \\
2.8 \\
1.2
\end{tabular} & \begin{tabular}{l} 
omparisons of \\
e confidence \\
wm\$Score w \\
lwr \\
-0.76624123 \\
\( 0.4337588 \quad 5 \) \\
-1.16624123
\end{tabular} & & \begin{tabular}{r} 
padj \\
0.2098219 \\
0.0209244 \\
0.3947346
\end{tabular} \\
\hline
\end{tabular}

6. (5 points) Researchers examined working memory capacity (how many items, like words or numbers) people can hold in their mind as a function of age (children, young adults, and older adults.) Participants from each of the three groups took the digit span task. Children had a mean working memory capacity of 4.2, older adults had a mean working memory capacity of 5.8, and young adults had a mean working memory capacity of 7 . Results of an ANOVA and Tukey's HSD test are shown below. Write up the findings in a paragraph, including the relevant information from the output and an interpretation.

ANOVA

output

Df Su

wm$Group 2 1

Residuals 12 2

-

Signif. codes: 0

um Sq M

19.73

23.60

0 cok* ^'

Mean Sq F F value F

9.867 5.017

1.967

0.001 '**' 0.01

Pr(>F)

0.0261 *

1 &*, 0.05
∵ 0.1 ·, 1

Tukey's

HSD output

Tukey multip

95 % family

Fit: aov(formu

$ wm$Group

OAdult-Child

YAdult-Child

YAdult-OAdult

ple cc

y-wist

ula =

diff

1.6

2.8

1.2

omparisons of

e confidence

wm$Score w

lwr

-0.76624123

0.4337588 5

-1.16624123

padj

0.2098219

0.0209244

0.3947346

Added by Rahwa G.

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