Construct and Interpret Confidence Intervals About the Population Mean Difference $98 \%$

question 33

Multiple Choice

Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched -Pairs Data
-We are interested in comparing the average supermarket prices of two leading colas in the Tampa area. Our sample was taken by randomly going to each of eight supermarkets and recording the price of a six - pack of cola of each brand. The data are shown in the following table. Find a $98 \%$ confidence interval for the difference in mean price of brand 1 and brand 2. Assume that the paired data came from a population that is normally distributed.

• A) \(( - 0.0779,0.0029 )\)
• B) \(( - 0.1768,0.1018 )\)
• C) \(( - 0.0846,0.0096 )\)
• D) \(( - 0.0722 , - 0.0028 )\)

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Definitions:

Smooth Muscle

A type of muscle tissue which is not under voluntary control, found in the walls of internal organs and blood vessels.

Skeletal Muscle

Muscle tissue that is attached to bones, primarily responsible for voluntary movements through contraction.

Cardiac Muscle

A specialized form of striated muscle found in the heart, characterized by its ability to contract involuntarily and rhythmically, facilitating blood circulation.

Autorhythmic

Spontaneous and periodic—for example, in smooth muscle, spontaneous (without nervous or hormonal stimulation) and periodic contractions.