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A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the individual bags. If the bags are under filled, two problems arise. First, customers may not be able to brew the tea to be as strong as they wish. 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 3.40 grams of tea in a bag. If the average amount of tea in a bag exceeds the label weight, the company is giving away product. Getting an exact amount of tea in a bag is problematic because of variation in the temperature and humidity inside the factory, differences in the density of the tea, and the extremely fast filling operation of the machine (approximately 215 bags a minute). The following table provides the weight in grams of a sample of 50 bags produced in one hour by a single machine:
2.95 3.70 3.42 3.40 3.53 2.54 3.54 3.45 3.52 3.813.57 3.40 3.83 2.54 3.55 2.62 3.66 3.46 2.64 3.513.67 3.40 3.47 3.61 2.53 3.32 2.67 3.29 3.49 3.553.77 3.57 3.42 3.58 3.68 3.50 3.32 3.50 3.53 2.583.61 3.45 3.44 3.25 3.56 3.63 3.50 2.57 3.67 3.36
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 tea bags be concerned about the central tendency? e. Interpret the measures of variation within the context of this problem. Why should the company producing the tea bags be concerned about variation?
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
On what bearing and at what speed should the ship travel to arrive back at its starting point 24 hours after the voyage began? (Assume that one knot is a speed of one nautical mile per hour).
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
find an equation of the line passing throughout (-3,4) and parallel to the x-axis.
What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5?
A motorboat travels 255 mi in 3 hours going upstream and 540 mi in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Compute the mean, variance, and standard deviation.
Choose ten of your friends, and make a graph where the edges represent two friends being Facebook friends. (Do not include yourself in the graph). Order your friends alphabetically, and label the vertices v1, v2, ..., v10 respectively.
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
How many ATM cells (described in Example 28) can be transmitted in 10 seconds over a link operating at the following rates?
Lauren plans to deposit $3000 into a bank account at the beginning of next month and $250/month into the same account at the end of that month and at the end of each subsequent month for the next 7 yr.
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