Find the Standardized Test Statistic, T, to Test the Claim $\mu _ { 1 } = \mu _ { 2 } .$

question 49

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } = \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 }^ { 2 } \text {. }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } } 1 = 33 & \overline { \mathrm { x } } 2 = 31 \\\mathrm {~s} 1 = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}$$

• A)4.361
• B)3.287
• C)2.892
• D)1.986

---

Definitions:

Sebaceous Glands

Oil-producing glands in the skin that lubricate and protect the surface.

Salivary Glands

Glands located in and around the mouth and throat, responsible for producing saliva which aids in digestion and keeps the mouth moist.

Ceruminous Glands

Specialized sweat glands located in the ear canal that produce earwax (cerumen) as a protective barrier.

Mammary Glands

Specialized organs in mammals that produce milk to nourish newborns.