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Which Supermarket Has the Lowest Prices in Town? All Claim

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Which supermarket has the lowest prices in town? All claim to be cheaper, but an independent agency recently was asked to investigate this question. The agency randomly selected 100 items common to each of two supermarkets (labeled A and B) and recorded the prices charged by each supermarket. The summary results are provided below: xˉ A=2.09xˉ B=1.99dˉ=.10 sA=0.22s B=0.19sd=.03\begin{array} { l l r } \bar { x } \mathrm {~A} = 2.09 & \bar { x } \mathrm {~B} = 1.99 & \bar { d } = .10 \\\mathrm {~s} _ { \mathrm { A } } = 0.22 & { } ^ { s } \mathrm {~B} = 0.19 & s _ { d } = .03\end{array}
Assuming the data represent a matched pairs design, calculate the confidence interval for comparing mean prices using a 95%95 \% confidence level.
A) . 10±.0058810 \pm .00588
B) 10±.05697510 \pm .056975
C). 10±.125510 \pm .1255
D) .10±.004935.10 \pm .004935


Definitions:

Primary Motor Cortex

A section of the cerebral cortex tasked with the planning, control, and initiation of voluntary movements.

Primary Somatosensory Cortex

The primary area of the brain responsible for processing somatic sensations, such as touch, temperature, pain, and proprioception.

Homunculus

Representation of the human body in the sensory or motor cortex; also any topographical representation of the body by a neural area.

Tickle Perception

The sensation and neural processes involved in feeling ticklish.

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