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In the finance industry, the standard deviation in salary of mid-level professionals is $\$11,000$. Samples are taken from company A and B which are in finance industry.

For company A, salary mean is $\$80,000$, while for Company B it is $\$96,000$.Management of both companies seek if they are paying their midlevel professionals differently.

In the finance industry, the standard deviation in salary of mid-level professionals is $\$11,000.$

Samples are taken from company A and B which are in finance industry.

For company A, salary mean is $\$80000,$while for Company B it is $\$96000$.

Management of both companies seek if they are paying their midlevel professionals differently.

Assuming mean salary of mid-level professionals of Company A as ${\mathrm{μ}}_A$.

Assuming mean salary of mid-level professionals of Company B as ${\mathrm{μ}}_{\mathrm{B}}$.

The null and alternative hypothesis is given as :

$$\begin{gathered} {\mathrm{H}}_0:{\mathrm{μ}}_{\mathrm{A}}={\mathrm{μ}}_{\mathrm{B}} \\ {\mathrm{H}}_{\mathrm{a}}:{\mathrm{μ}}_{\mathrm{A}}≠{\mathrm{μ}}_{\mathrm{B}} \end{gathered}$$

Hence, this shows that this hypothesis test is for independent group means, population standard deviations, and/or variances known.

The hypothesis test is for independent group means, population standard deviations, and/or variances known.