Gas Mileage Hoping to Improve the Gas Mileage of Their

question 29

Essay

Gas mileage Hoping to improve the gas mileage of their cars, a car company has made an adjustment in the manufacturing process. Random samples of automobiles coming off the assembly line have been measured each week that the plant has been in operation. The data from before and after the manufacturing adjustments were made are in the table below. It is believed that measurements of gas mileage are normally distributed. Write a
complete conclusion about the manufacturing adjustments based on the statistical software
printout shown below. $\begin{array}{lllllllllllllll}\text { SET M1 } & 24 & 21 & 26 & 25 & 23 & 24 & 19 & 22 & 20 & 24 & 20 & 21 & 27 & 22 \\\text { SET M2 } & 22 & 24 & 28 & 28 & 27 & 24 & 22 & 24 & 27 & 25 & 27 & 23 & 28\end{array}$
$\text { Two Sample T for M1 vs M2 }$
$\begin{array}{lllll} & \mathrm{N} & \text { Mean } & \text { StDev } & \text { SEMean } \\\text { M1 } & 14 & 22.71 & 2.40 & 0.64 \\\text { M2 } & 13 & 25.31 & 2.29 & 0.64\end{array}$
$95 \% \mathrm{Cl} \text { for } \mu_{2}-\mu_{1}:(0.74,4.45)$
$\text { T-Test } \left.\mu_{1}=\mu_{2} \text { (vs. } \mu_{1}<\mu_{2}\right): T=2.88 \quad P=0.0041 \quad D F=24.98$

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Definitions:

Limbic System

A complex system of nerves and networks in the brain, involved with instinct and mood, controlling basic emotions, and drives such as fear and pleasure.

Basic Survival Instincts

The innate, automatic behaviors and responses aimed at preserving one’s life and well-being.

Voluntary Movements

Movements controlled consciously by the brain, usually in response to stimuli or as deliberate actions, contrasting with involuntary movements like reflexes.

Cranial Nerves

are the twelve pairs of nerves that emerge directly from the brain, not the spinal cord, and control various functions of the body and head.