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Construct a

`95%`

confidence interval for

`\mu _(1)-\mu _(2)`

with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances. Stats

`,\bar{x} _(1)=126mg,s_(1)=3.61mg,n_(1)=15`

`\bar{x} _(2)=121mg,s_(2)=2.19mg,n_(2)=17`

variances are not equal d.f. is the smaller of

`n_(1)-1`

or

`n_(2)-1`

Enter the endpoints of the interval.

`◻`

`<\mu _(1)-\mu _(2)<`

`◻`

(Round to the nearest integer as needed.)