Step 1 :Identify the null and alternative hypotheses. The null hypothesis is always a statement of no effect or no difference. In this case, the claim is that the population mean is 30. So, the null hypothesis would be that the population mean is equal to 30. The alternative hypothesis is the opposite of the null hypothesis. Since the sample mean is less than the claimed population mean, the alternative hypothesis would be that the population mean is less than 30.
Step 2 :Final Answer: \(\boxed{B. \mathrm{H}_{0}: \mu=30, \mathrm{H}_{\mathrm{a}}: \mu<30}\)