A job training program has three sequential Levels $("$Beginner$,"$ "Intermediate," and "Advanced" I$).$ You are conducting an evaluation to see whether student performance on a timed task decreases, as students proceed through the sequence of Levels. SPSS output from the analysis of $30$ randomly selected students, $10$ of whom have completed training at each level, appears below. Mean time to complete the task is shown for each of the three groups. Some of the output has been masked, but you should still be able to answer all of the questions.

Descriptives

$\backslash$table$[[,N,$Mean,$\backslash$table$[[$Std$.$ Deviation$]],$Std$.$ Error,$\{$

$\backslash$table$[[95\%$ Confidence Interval for$],[$Mean$]]\},$Minimum,Maximum$],[],[,$Lower Bound,Upper Bound$],[$Beginner$,10,27\mathrm{.}2000,3\mathrm{.}04777,96379,25\mathrm{.}0198,29\mathrm{.}3802,22\mathrm{.}00,33\mathrm{.}00],[$Intermediate$,10,23\mathrm{.}6000,3\mathrm{.}30656,1\mathrm{.}04563,21\mathrm{.}2346,25\mathrm{.}9654,18\mathrm{.}00,29\mathrm{.}00],[$Advanced$,10,23\mathrm{.}4000,3\mathrm{.}23866,1\mathrm{.}02415,21\mathrm{.}0832,25\mathrm{.}7168,18\mathrm{.}00,29\mathrm{.}00],[$Total$,30,24\mathrm{.}7333,3\mathrm{.}56161,65026,23\mathrm{.}4034,26\mathrm{.}0633,18\mathrm{.}00,33\mathrm{.}00]]$

ANOVA

Time

$\backslash$table$[[,\backslash$table$[[$Sum of$],[$Squares$]],$df$,$Mean Square,F$,$Sig.$],[$Between Groups,$91\mathrm{.}467,,45\mathrm{.}733,,\mathrm{.}021],[$Within Groups,$276\mathrm{.}400,,10\mathrm{.}237,,],[$Total$,367\mathrm{.}867,,,,]]$

A$.$ Does your analysis show an association between Level $($Beginner$,$ Intermediate, Advanced$)$ and performance on the Time task? Circle one, and say why.

Yes

No

Can't tell, based on output

Why? $($One brief reason only, please$)$

B$.$ Does your analysis show whether students in the Beginner Level are slower at the task than students at the Advanced Level? Circle one, and say why.

Yes

No

Can't tell, based on output

Why? $($One brief reason only, please$)$