A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three sta
cks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company.
Note: In your evaluation, make sure to consider the ease with which one person can carry the box, as well as the amount of cardboard required to make the box. In addition, please label all measurements.
Make note!
A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches.
Note: In your evaluation, make sure to consider the ease with which one person can carry the box, as well as the amount of cardboard required to make the box. In addition, please label all measurements.
Make note!
A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches.
1 answer:
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Answer:
b. the area to the right of 2
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.
In this problem:
Percentage who did better:
P(Z > 2), which is the area to the right of 2.