(Solved): Test the claim about the population mean \( \mu \) at the level of significance \( \alpha \). Assum ...

Test the claim about the population mean \( \mu \) at the level of significance \( \alpha \). Assume the population is normally distributed. Claim: \( \mu<5115 ; \alpha=0.05 \) Sample statistics: \( \bar{x}=5317, \mathrm{~s}=5949, \mathrm{n}=54 \) What are the null and alternative hypotheses? \[ \begin{array}{l} H_{0}: \quad \mu \\ H_{a}: \end{array} \] (Type integers or decimals. Do not round.) Find the standardized test statistic t. \[ \mathrm{t}=0.25 \] (Round to two decimal places as needed.) Find the P-value. \[ P= \] (Round to three decimal places as needed.)