Arithmetic mean-median and probablity

Reference no: EM1398852

1. A property of concern for any food company that uses a high-speed carton-filling machine to package juice is the weight of the food product in the individual cartons. If the cartons are under filled, two problems arise. First, customers may not have enough product for their needs. Second, 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 2.5 ounces of product in a carton. If the average amount of product in a carton exceeds the label weight, the company is giving the product for free. Getting an exact amount of product in a carton is problematic because of variation in the temperature and humidity inside the factory, differences in the density of the product, and the extremely fast filling operation of the machine (approximately 450 cartons per minute). The following table provides the weight in ounces of a sample of 60 cartons produced in one hour by a single machine:

4.01 4.06 2.45 2.06 2.02 2.59 2.72 3.08 3.08 3.04

2.22 2.47 2.96 2.41 2.42 2.09 3.03 3.09 1.98 3.05

3.11 2.31 1.28 3.01 2.42 2.49 1.57 2.46 2.55 2.52

3.02 1.87 1.99 1.88 1.38 3.06 3.04 3.04 3.07 2.52

3.08 3.03 1.62 2.32 1.43 2.12 2.43 2.99 1.85 3.08

3.04 3.11 1.59 1.81 3.02 2.99 3.01 1.76 3.01 2.33

a. Compute the arithmetic mean and median.

b. Compute the first quartile and third quartile.

c. Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.

d. Interpret the measures of central tendency within the context of this problem. Why should the company producing the bottles be concerned about the central tendency?

e. Interpret the measures of variation within the context of this problem. Why should the company producing the bottles be concerned about variation?

Reference no: EM1398852

Questions Cloud

Determine which women to select in quantitative research : What method of random selection can be used to determine which women to select in quantitative research?

Why bank debited account of calvin : The bank debited Calvin's account. Calvin objected claiming that the bank should not have cashed the check because the check was lost and the check did not belong to Larry. Is Calvin correct? Explain why or explain why not?

Normal probability distribution for application : Suppose the time necessary to process an application for a license plate for a newly purchased vehicle is normally distributed with mean of 6 minutes and standard deviation of 1.5 minutes.

Calculates the narrow sense heritability for yiels : in Kansas, a farmer is growing a variety of wheat called TK138. He calculates the narrow sense heritability for yiels (the amount of wheat produced per acre).

Arithmetic mean-median and probablity : A property of concern for any food company that uses a high-speed carton-filling machine to package juice is the weight of the food product in the individual cartons.

Determin ethe number of ways of room occupation : If the names of these 100 people in the building are still unknown but a room is allowed to lodge one tenant at most , then are there how many ways of room occupation?

What are the independent and dependent variables : Develop a hypothesis relating to the amount of dissolved oxygen measured in the water sample and the number of fish observed in the body of water.

Estimate the oxygen diffusing capacity of the lungs : The diffusing capacity of a gas is the volume of gas that will diffuse through a membrane each minute for a pressure difference of 1 mmHg.

User Account

All Pages