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Construct a

`95%`

confidence interval for

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

with the sample statistics for mean calorie content of two bakeries' specialty pies and confidence interval construction formula below. Assume the populations are approximately normal with equal variances. Confidence interval

`(\bar{x} _(1)-\bar{x} _(2))-t_(c)hat(\sigma )\sqrt((1)/(n_(1))+(1)/(n_(2)))<\mu _(1)-\mu _(2)<(\bar{x} _(1)-\bar{x} _(2))+t_(c)hat(\sigma )\sqrt((1)/(n_(1))+(1)/(n_(2)))`

when variances are \table[[Bakery A,Bakery B],[

`\bar{x} _(1)=1898cal`

,

`\bar{x} _(2)=1601cal`