The last four assignments covered situations where we estimated or tested one variable. Next, we consider the situation where we estimate the difference in two variables or test one variable vs...

The last four assignments covered situations where we estimated or tested one variable. Next, we consider the situation where we estimate the difference in two variables or test one variable vs another (rather than one variable vs a static number). There are times when we want to see if the difference between two variables is at least some number (i.e. one variable is 5 more than another), but usually we are only interested in comparing them to each other (meaning that we are interested in the difference between the two variables being 0). Also, recall that when comparing two means, we must first decide if the two variables are dependent (or paired) vs if they are independent

Using the hockey data, test if the true mean number of wins is greater than the true mean number of losses, using a significance level of 0.01. (Note that both cases just refer to the W and L columns, nothing fancier.)

Using the hockey data, test if the actual average goal differential between the Eastern Conference is different from that of the Western Conference, using a significance level of 0.05.

Sheet1 TeamConferenceDivisionWLOTLPtsGFGADiff Tampa BayEasternAtlantic55161112131522887 BostonEasternAtlantic5124710927523045 TorontoEasternAtlantic5420811628723948 FloridaEasternAtlantic47269103235246-11 DetroitEasternAtlantic3142971220275-55 MontrealEasternAtlantic20521050229255-26 OttawaEasternAtlantic2153850224286-62 BuffaloEasternAtlantic2944967190276-86 WashingtonEasternMetropolitan521515119244251-7 PittsburghEasternMetropolitan52181211628025228 PhiladelphiaEasternMetropolitan38359852482426 ColumbusEasternMetropolitan561791212482408 New JerseyEasternMetropolitan47287101243258-15 CarolinaEasternMetropolitan3835985229262-33 NY IslandersEasternMetropolitan3241973290300-10 NY RangersEasternMetropolitan37341185237277-40 NashvilleWesternCentral55141312326621848 WinnipegWesternCentral443449228819593 MinnesotaWesternCentral4129129426523728 ColoradoWesternCentral48231110726022337 St LouisWesternCentral37341185219226-7 DallasWesternCentral423379123021515 ChicagoWesternCentral3738781233259-26 VegasWesternCentral53111812428323548 AnaheimWesternPacific41301193221222-1 San JoseWesternPacific343997724521926 Los AngelesWesternPacific4926710525420252 CalgaryWesternPacific39301391220230-10 EdmontonWesternPacific40321090245271-26 VancouverWesternPacific24471159218262-44 ArizonaWesternPacific26461062221270-49