
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
A certain product's quality indicator follows a normal distribution $N(50, \sigma ^{2})$. Products with quality indicators between 47 and 53 are considered qualified. In order to achieve a qualification rate of 99.74% for these products, the production skills need to be adjusted so that $\sigma$ is at most _______. (Reference data: If $X \sim N(\mu, \sigma ^{2})$, then $P(|X-\mu| < 3\sigma) \approx 0.9974$)

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