Sample size, intervals, estatistics and probability (rice bagging company)

[barbsabbs]

A rice bagging company produces bags with a mean weight μ = 2 kg and standard deviation σ = 0.2 kg. With the aim of increasing production homogeneity (reducing variance), the company is introducing new bagging machines. From an Simple Random Sample of size 31, S^2 = 0.021 was observed. Using α = 0.05 respond if the new machines have reached their goals.

 

[stapel]

A rice bagging company produces bags with a mean weight μ = 2 kg and standard deviation σ = 0.2 kg. With the aim of increasing production homogeneity (reducing variance), the company is introducing new bagging machines. From an Simple Random Sample of size 31, S^2 = 0.021 was observed. Using α = 0.05 respond if the new machines have reached their goals.

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

Please be complete. Thank you!