Question $4-$ Hypothesis Testing

Prompt

Based on a recent study of college students, the average student loan debt amount is $$4000.$ Is the mean student loan debt higher at StatCrunchU? Include each of the following in your response. $($see concepts in Units $7$&$8-$ Modules $17-23)$

State your hypotheses in symbolic form and in words.

Verify that normality conditions are met. Which test are you using? Why?

Use StatCrunch to conduct the hypothesis test. Copy and paste the results $($the StatCrunch output window$)$ into your response.

Give your P$-$value and interpret its meaning.

State a conclusion that answers the research question. Use a significance level of $5\%$

$\backslash$table$[[$Gender$,$Class,Hours,Work,Loans,CC Debt$],[$Male$,2,9,23\mathrm{.}5,8461,4108],[$Female$,4,6,0,0,5428],[$Male$,1,12,0,0,1339],[$Female$,4,16,12\mathrm{.}5,15528,9155],[$Female$,4,12,0,0,4054],[$Male$,4,14,20\mathrm{.}5,15616,3151],[$Female$,1,18,12\mathrm{.}5,0,1007],[$Male$,3,6,34\mathrm{.}5,12210,0],[$Female$,3,15,0,0,4602],[$Male$,1,17,0,0,1366],[$Female$,3,12,0,12423,3924],[$Female$,4,16,0,0,7236],[$Female$,4,10,27,16099,7573],[$Female$,1,15,0,0,1340],[$Female$,3,16,0,0,0],[$Female$,3,15,14\mathrm{.}5,0,3410],[$Male$,3,12,0,0,4786],[$Male$,1,15,0,0,1296],[$Male$,1,18,0,0,1308],[$Female$,3,15,0,12330,2787],[$Female$,3,15,0,11296,0],[$Female$,1,16,0,0,1235],[$Female$,3,6,0,0,3113],[$Female$,4,15,0,0,0],[$Female$,2,12,0,8251,2643],[$Female$,3,21,8,13134,4573],[$Female$,4,3,43\mathrm{.}5,19200,3153],[$Female$,3,15,18\mathrm{.}5,12387,5233],[$Female$,4,16,0,0,6151],[$Male$,1,15,0,3682,1484],[$Female$,3,18,0,0,5093],[$Female$,4,9,27\mathrm{.}5,16000,6193],[$Female$,2,16,0,6821,2123],[$Male$,4,13,0,0,5247],[$Male$,1,16,14,3777,1519],[$Male$,1,15,0,0,1287],[$Female$,2,14,0,0,3474],[$Female$,2,7,29,0,3183],[$Female$,4,15,0,17283,5216],[$Female$,3,17,0,0,4886],[$Female$,3,16,21\mathrm{.}5,12844,1625],[$Female$,4,3,42\mathrm{.}5,15061,4022],[$Male$,4,16,13\mathrm{.}5,17395,9917],[$Female$,3,9,26,12496,3662],[$Male$,1,16,18,3445,1591],[$Male$,2,15,0,8813,2699],[$Male$,4,12,0,0,6014],[$Female$,1,15,0,0,1110],[$Female$,2,15,18\mathrm{.}5,7955,0],[$Female$,4,12,0,0,0]]$