a researcher uses a matches samples design to investigate whether single people

Question

a researcher uses a matches samples design to investigate whether single people who own pets are generally happier than singles without pets. A mood inventory questionnaire is administered to a group of 20 to 29 year old single people who do not own pets and a similar age group of single pet owners. pet owners are matched one to one with the people who do not own pets for income, number of close friendships, and general health data are as follows

matched pair.       do not own pets.      pet owners
A.                           12.                              16
B.                           8.                                8
C.                           10.                              16
D.                           9.                                9
E.                           7.                                 11
F.                           10.                               14

is there a significant difference in the mood scores for people who do not own pets versus pet owners? use a two tail t test with alpha =.05 (3 decimals for the critical value and two for the estimated SD)

SS=_______
S (Square)=_________
estimated standard error=_________

I am able to get everything else but is the SS and s(square) that is confusing me cause is 2 samples instead of one. Thank you in advance

Explanation / Answer

from above SS =30

S(square)=S2 = SS/(n-1) =30/5 =6

and estimated standard error= =(S2/n)1/2 =1

please revert for any clarification required

matched pair        do not own pets       pet owners difference(d)=x1-x2 (d-mean)2 A 12 16 -4 1 B 8 8 0 9 C 10 16 -6 9 D 9 9 0 9 E 7 11 -4 1 F 10 14 -4 1 total -18 30 mean -3

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