PLEASE ASSIST IN ANSWERING PARTS D-E A quality characteristic of interest for a
ID: 3072101 • Letter: P
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PLEASE ASSIST IN ANSWERING PARTS D-E
A quality characteristic of interest for a rice-bag-filling process is the weight of the rice in the individual bags. If the bags are under filled, the company may be in violation of the truth-in-labeling laws. In this example, the label weight on the package indicates that, on average, there are 15 pounds of rice in a bag. If the average amount of rice in a bag exceeds the label weight, the company is giving away product. Getting an exact amount of rice in a bag is problematic because of variation in the temperature and humidity inside the factory, differences in the size of the rice, and the extremely fast filling operation of the machine (approximately 150 bags a minute). The following table provides the weight in pounds of a sample of 60 bags produced in one hour by a single machine: 15 15.2 15 15.4 15.1 14.7 15.1 14.6 14.7 15.2 15.1 14.8 14.9 14.6 14.6 15.4 15.2 15.215 15.1 14.7 14.7 14.915.315.5 15.4 15.4 15.4 14.5 15.5 15 15.3 15.5 14.9 15.15 15.2 15 15.215.1 15.01 15.07 15 15.12 15.1 Find all of the following ans wers using built-in Excel functions A) Median: 15.1 Mean: 15.06633333 3) First quartile: 14.9Explanation / Answer
D) Given mean=15.066 and median =15.1
This indicates that the data is symmetric around mean.
Therefore the good choice of measure of central tendency for the sample is mean=15.07pounds.
Since the measure of central tendency indicates that the average weight of the bag is 15.07 pound. Therefore the company should give away the product.
E) The measure of variation used in this symmetric distribution is variance=0.075
The measure of variance indicates that each sample point is 0.075 unit away from the mean.
That means weight each bag is 0.075 pounds less or more than the average weight of the bags.
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