The accompanying table contains two samples that were collected as matched pairs. Complete parts a and b below.
Pair  Sample 1  Sample 2 
1  10  4 
2 
6  7 
3  4  6 
4  8  3 
5  11  5 
6  7  9 
7  8  5 
8  7  5 
A.
Construct a 90?% confidence interval to estimate difference in means between the populations from which Sample 1 and 2 were drawn.
UCL doverbar 
= ?? 

LCL doverbar 
= ?? 
B . What conclusions can be made?
The interval "does not include OR does include" ?zero, so there "is OR is not" enough evidence to conclude that there is a difference in means between the populations from which Sample 1 and 2 were drawn.
A)
t value at 90% = 1.8946
Sample 1 Sample2 dbar
10 4 6
6 7 1
4 6 2
8 3 5
11 5 6
7 9 2
8 5 3
7 5 2
dbar = ?(sample1)  ?(sample2)
= 7.625  5.5
= 1.7
s(dbar) = 2.1998  1.8516
= 3.1640
SE = s(dbar)/sqrt(n) = 1.1187
CI = dbar +/ t *SE
= 1.7 +/ 1.8946 *1.1187
= (0.4194 , 3.8194 )
B)
The interval "does include" ?zero, so there "is" enough evidence to conclude that there is a difference in means between the populations from which Sample 1 and 2 were drawn.
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