Question

The weight that should be contained in certain detergent bags is 750 ± 5 g. If the weight distribution is normal with a standard deviation σ = 1.32 g.

a) It can reasonably be said that the process produces detergent bags that meet specifications.

b) A random sample of 25 bags of detergent is taken, weighed and the following data are obtained:

750.0 749.3 752.5 748.9 749.9 748.6 750.2 748.4 747.8 749.3 749.6

749.0 747.7 748.3 750.5 750.6 750.0 750.4 752.0 750.2 751.4 750.9 752.4 751.7 750.6

Do these data confirm or contradict the conclusions of the previous point? Present the statistical calculations and their interpretation of the results

Answer 1

a) Confirms.

. $3 \sigma = 3.96g$ is within 5g specification.

b) Max.data 752.5

Min. data 747.7

All 25 data are within  $\mu \pm 2 \sigma$

Very much confirmed again.