Nashville home prices are continuing to increase with a 2021 average home price of $545,500. A real estate agent believes the average home price in Northwest Nashville is greater than the average home price in South Nashville. To test this claim, she collects the selling price of 50 homes in Northwest Nashville and South Nashville and assumes the variances are equal.

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Northwest	South
638353	199484
590826	626195
644644	354982
702219	499839
978596	345864
866156	286088
706456	836086
692183	404875
940028	562985
570738	600402
608219	875040
385881	550356
565004	616965
985074	151263
46338	662745
915973	547798
425422	470227
591615	310292
668088	232867
975113	382787
371196	511372
923479	508917
449737	375838
684174	426327
738390	596276
453291	562353
370988	717967
742618	642617
453320	417752
289670	828152
443324	691487
457728	347101
593580	474312
341500	196268
774905	730910
729181	509974
721760	655395
506442	4862
406325	535479
638150	644248
341751	421209
888396	627654
571073	261015
742314	897452
815527	665376
433252	721188
669641	823623
818424	211852
650254	262309
457951	766659

a.Specify the null and alternative hypotheses.

H(O): __________?____________. ____?___. ____?____

H(A): ___________?___________ _____?___. _____?___

1. What are the values for the test statistic and p-value?(Round to 4decimal places)

Test statistic = _____?___

p-value = _____?______

1. At the 5% significance level, what are the decision and conclusion for thistest?

_____?___. ______?____. Therefore, we ____?______ conclude

__________________________?________________________