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Construct and Interpret Confidence Intervals Regarding the Difference of Two 95%95 \%

question 26

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Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means
-Construct a 95%95 \% confidence interval for μ1μ2\mu _ { 1 } - \mu _ { 2 } . Two samples are randomly selected from normal populations.
The sample statistics are given below.
n1=8n2=7x1=4.1x2=5.5 s1=0.76 s2=2.51\begin{array} { l l } \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 7 \\\overline { \mathrm { x } } 1 = 4.1 & \overline { \mathrm { x } _ { 2 } } = 5.5 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 2.51\end{array}

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Definitions:

IR Spectra

The graphical representation of infrared light absorption by molecules, used to identify chemical bonds and functional groups in a substance.

IR Spectroscopy

A technique used to identify and study chemicals based on their absorption of infrared light, indicative of molecular vibrations and structure.

Compounds

Substances formed from the chemical combination of two or more elements in a fixed ratio, characterized by specific properties.

Characteristic Stretch

Refers to a specific vibration in a molecule observed in IR spectroscopy, corresponding to the bond or functional group unique to that molecule.

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