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:

Social Mediation

Human interaction that expands and advances understanding, often through words that one person uses to explain something to another.

Zone of Proximal Development

A concept developed by Vygotsky, referring to the difference between what a learner can achieve independently and what they can achieve with guidance and encouragement from a skilled partner.

Bidirectional Function

A relationship or interaction that goes in two directions, often referring to the mutual influence two variables have on each other.

Sociobiological

Related to the study of the biological basis of social behavior in animals and humans.