To determine which facility increased their efficiency more during that hour, we can calculate the z-scores for each facility based on their mean and standard deviation.
For the water bottling facility:
z = (X - μ) / σ
where X = 35.6, μ = 34.1, and σ = 2.13
z = (35.6 - 34.1) / 2.13
z = 0.70
For the cola bottling facility:
z = (X - μ) / σ
where X = 26.4, μ = 25.7, and σ = 1.63
z = (26.4 - 25.7) / 1.63
z = 0.43
Since the z-score for the water bottling facility is higher than the z-score for the cola bottling facility, the water bottling facility increased their efficiency more during that hour.
A water bottling facility has a mean bottling rate of 34.1 thousand bottles per hour with a standard deviation of 2.13 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 25.7 thousand bottles per hour with a standard deviation of 1.63 thousand bottles. One Wednesday from noon to 1:00 p.m., the water bottling facility bottled 35.6 thousand bottles of water, and the cola bottling facility bottled 26.4 thousand bottles of cola. Which facility increased their efficiency more during that hour?
1 answer
1 answer