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Assuming the given data is normally distributed and 99.7% of the parts were accepted, the limits will be; <u><em>Between 3.085 m and 3.115 m</em></u>
We are given;
Sample mean; x' = 3.1 m
Standard deviation; σ = 0.005 m
Percentage of parts accepted = 99.7%
According to the Empirical Rule, it states that 99.7% of data observed following a normal distribution will lie within 3 standard deviations of the mean.
Thus, the limits will be;
Interval = x' ± 3σ
Interval limit = 3.1 ± (3 × 0.005)
Interval limit = 3.1 ± 0.015
Interval limit = (3.1 - 0.015), (3 + 0.015)
Interval limit = (3.085, 3.115)
Read more about the empirical rule at; brainly.com/question/2491296
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