$3.$ The Guyer dataset comes from an experiment on the prisoner's dilemma game in which pairs of players are separated and make a choice between cooperating with the other person or not. Cooperation leads to a better outcome for both players, but betrayal is the dominant strategy. In the experiment, each participant was placed in a group $($the "condition" variable$)$ such that their choices were either anonymous or public. The "cooperation" variable is how many times out of $30$ trials they chose to cooperate.

Assuming these participants represent a random sample with independent observations, carry out the appropriate analysis to answer the research question: Does the average number of times players chose to cooperate differ based on whether their choices were anonymous or public? $(7$pt$)$ Untitled $1$

uhp$67$

Filter

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash (\backslash$Delta $\backslash )$ & cooperation & condition & sex $\backslash \backslash$

$\backslash$hline $1$ & $49$ & public & male $\backslash \backslash$

$\backslash$hline $2$ & $64$ & public & male $\backslash \backslash$

$\backslash$hline $3$ & $37$ & public & male $\backslash \backslash$

$\backslash$hline $4$ & $52$ & public & male $\backslash \backslash$

$\backslash$hline $5$ & $68$ & public & male $\backslash \backslash$

$\backslash$hline $6$ & $54$ & public & female $\backslash \backslash$

$\backslash$hline $7$ & $61$ & public & female $\backslash \backslash$

$\backslash$hline $8$ & $79$ & public & female $\backslash \backslash$

$\backslash$hline $9$ & $64$ & public & female $\backslash \backslash$

$\backslash$hline $10$ & $29$ & public & female $\backslash \backslash$

$\backslash$hline $11$ & $27$ & anonymous & male $\backslash \backslash$

$\backslash$hline $12$ & $58$ & anonymous & male $\backslash \backslash$

$\backslash$hline $13$ & $52$ & anonymous & male $\backslash \backslash$

$\backslash$hline $14$ & $41$ & anonymous & male $\backslash \backslash$

$\backslash$hline $15$ & $30$ & anonymous & male $\backslash \backslash$

$\backslash$hline $16$ & $40$ & anonymous & female $\backslash \backslash$

$\backslash$hline $17$ & $39$ & anonymous & female $\backslash \backslash$

$\backslash$hline $18$ & $44$ & anonymous & female $\backslash \backslash$

$\backslash$hline $19$ & $34$ & anonymous & female $\backslash \backslash$

$\backslash$hline $20$ & $44$ & anonymous & female $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$