Test the Claim That the Samples Come from Populations with the Same

question 2

Essay

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-Random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below. $\begin{array} { l } \text { Model A}&\text { Model B}&\text { Model C}&\text { Model D }\\\hline23&28&30&25\\25&26&28&26\\24&29&32&25\\26&30&27&28\end{array}$
Test the claim that the four different models have the same population mean. Use a significance level of 0.05.

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Definitions:

Mathematical Expression

A combination of numbers, variables, operators, and sometimes parentheses that represents a mathematical relationship or process.

Mathematical Ratio

A relationship between two numbers indicating how many times the first number contains the second.

Gas Law

A set of laws that describe how the properties of gases (pressure, volume, and temperature) relate to each other.

Mass Spectrometer

An analytical instrument used to identify substances within a sample by separating ions by their mass-to-charge ratio.