
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
Walking is a form of exercise that falls between walking and racewalking. It is a simple and safe aerobic exercise that can enhance lung capacity and promote heart health. A sports physiologist conducted a large number of surveys on the body fat percentage ($X$) of people engaged in walking activities and found that the body fat percentage of the survey respondents follows a normal distribution $N(0.2, \sigma^2)$. It is defined that people with a body fat percentage less than or equal to $0.17$ have a good body shape. If $16\%$ of the people participating in walking have a good body shape, then the value of $\sigma$ is approximately ____.<br/>Reference data: $P(\mu -\sigma \leq X \leq \mu + \sigma) \approx 0.6827$, $P(\mu -2\sigma \leq X \leq \mu + 2\sigma) \approx 0.9545$.

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