QUESTION SIX: A quality characteristic of interest for a tea bag filling process is the weight of the tea in the individual tea bag. If the bag is under filled, two problems arise. First, customers may not be able to brew to be as strong as they wish. Second, the company may not be in violation of the truth-in-labeling laws. For this product, the label weight on the package indicates that, on average, there are 55grams of tea in a bag. If the mean amount of tea in a bag exceeds the label weight, the company is giving away the product. The data shown below provides the weight, in grams, of a sample of 80 tea bags produced in one hour by a single machine. 56 54 54 54 55 53 55 54 55 54 65 44 42 40 53 34 54 45 52 54 55 54 55 55 55 56 55 54 54 55 57 40 53 54 55 62 56 46 55 51 47 40 47 61 53 32 67 29 49 55 77 57 42 58 58 50 32 50 53 58 45 44 25 56 63 50 57 67 36 55 63 76 75 36 65 52 44 54 38 72 Required: i. Using an appropriate measure of central tendency and a measure of dispersion, describe the tea bags sample. Give reasons for the selected measures. Interpret the measures of central tendency and variation used in part (i) above within the context of this problem. Why should the company producing the tea bags be concerned about measures of central tendency and variation? What proportions of tea bags produced are underweight? The recommended price for a tea bag is Kshs. 7. It is in the company's policy to lower the price to Kshs. 5 per tea bag, if the tea bag is found to be underweight, what is the expected total value of the tea bags in the sample? Investigate whether normality characteristics may be safely used in further analysis of the data. ii. ii. iv. V.
QUESTION SIX: A quality characteristic of interest for a tea bag filling process is the weight of the tea in the individual tea bag. If the bag is under filled, two problems arise. First, customers may not be able to brew to be as strong as they wish. Second, the company may not be in violation of the truth-in-labeling laws. For this product, the label weight on the package indicates that, on average, there are 55grams of tea in a bag. If the mean amount of tea in a bag exceeds the label weight, the company is giving away the product. The data shown below provides the weight, in grams, of a sample of 80 tea bags produced in one hour by a single machine. 56 54 54 54 55 53 55 54 55 54 65 44 42 40 53 34 54 45 52 54 55 54 55 55 55 56 55 54 54 55 57 40 53 54 55 62 56 46 55 51 47 40 47 61 53 32 67 29 49 55 77 57 42 58 58 50 32 50 53 58 45 44 25 56 63 50 57 67 36 55 63 76 75 36 65 52 44 54 38 72 Required: i. Using an appropriate measure of central tendency and a measure of dispersion, describe the tea bags sample. Give reasons for the selected measures. Interpret the measures of central tendency and variation used in part (i) above within the context of this problem. Why should the company producing the tea bags be concerned about measures of central tendency and variation? What proportions of tea bags produced are underweight? The recommended price for a tea bag is Kshs. 7. It is in the company's policy to lower the price to Kshs. 5 per tea bag, if the tea bag is found to be underweight, what is the expected total value of the tea bags in the sample? Investigate whether normality characteristics may be safely used in further analysis of the data. ii. ii. iv. V.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:QUESTION SIX:
A quality characteristic of interest for a tea bag filling process is the weight of the tea in the
individual tea bag. If the bag is under filled, two problems arise. First, customers may not be
able to brew to be as strong as they wish. Second, the company may not be in violation of the
truth-in-labeling laws. For this product, the label weight on the package indicates that, on
average, there are 55grams of tea in a bag. If the mean amount of tea in a bag exceeds the
label weight, the company is giving away the product. The data shown below provides the
weight, in grams, of a sample of 80 tea bags produced in one hour by a single machine.
56 54 54 54
55
53
55
54
55
54
65
44 42 40 53 34 54 45 52 54
55 54 55 55 55 56 55
54 54 55
57 40 53 54 55 62 56
46 55 51
47 40 47 61
53 32 67
29 49
55
77 57 42 58 58 50 32 50 53 58
45 44 25 56 63 50 57 67 36 55
63
76 75 36
65 52 44 54 38 72
Required:
i.
Using an appropriate measure of central tendency and a measure of dispersion,
describe the tea bags sample. Give reasons for the selected measures.
Interpret the measures of central tendency and variation used in part (i) above within
the context of this problem. Why should the company producing the tea bags be
concerned about measures of central tendency and variation?
What proportions of tea bags produced are underweight?
The recommended price for a tea bag is Kshs. 7. It is in the company's policy to lower
the price to Kshs. 5 per tea bag, if the tea bag is found to be underweight, what is the
expected total value of the tea bags in the sample?
Investigate whether normality characteristics may be safely used in further analysis of
the data.
i.
iii.
iv.
V.
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