
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the 95% confidence interval for the unknown mean $a$ of a normally distributed characteristic $X$ in the population, given that the population's standard deviation $\sigma = 5$, the sample mean $\bar{x}_{\text{sample}} = 14$, and the sample size $n = 25$.

Present the answer in LaTex format: \boxed{Your answer}
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