Test the claim about the population mean $\mu$ at the level of significance $\alpha$. Assume the population is normally distributed.
Claim: $\mu< 4715 ; \alpha=0.02$ Sample statistics: $\bar{x}=4917, s=5501, n=54$
What are the null and altemative hypotheses?
\[
\begin{array}{l}
\mathrm{H}_{0}: \nabla \nabla \\
\mathrm{H}_{\mathrm{a}}: \nabla \nabla \nabla
\end{array}
\]
(Type integers or decimals. Do not round.)
Answer
Final Answer: \(\boxed{H_{0}: \mu = 4715, H_{a}: \mu < 4715}\)
Step 1 ：The null hypothesis (H0) is always a statement of no effect or no difference. In this case, it would be that the population mean is equal to the claimed value.
Step 2 ：The alternative hypothesis (Ha) is what we are testing for. In this case, it would be that the population mean is less than the claimed value.
Step 3 ：So, the null and alternative hypotheses would be: H0: μ = 4715, Ha: μ < 4715
Step 4 ：Final Answer: \(\boxed{H_{0}: \mu = 4715, H_{a}: \mu < 4715}\)
