Some years ago, a new brand of toothpaste was introduced in the United States. According to its advertisements, studies showed that it had "considerable success" in improving the health of a person's teeth. Suppose that these studies were designed in the following way. The manufacturer of this toothpaste chose three samples of seven people; the first sample agreed to use the new brand, the second sample used Brand A, and the third sample used Brand B. After six months, a dentist examined each person's teeth and scored the health of his or her teeth on a scale of 0 (lowest possible score) to 100 (highest possible score). The results were as follows: New Brand Brand A Brand B 65 58 54 71 60 38 53 63 43 55 90 61 34 95 94 82 89 96 77 62 82 The manufacturer of the new toothpaste says that the average score for the new brand is 2 points higher than for Brand A and 4 points higher than for Brand B. Would you agree with the manufacturer's advertisements? Explain.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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7.
Some years ago, a new brand of toothpaste was introduced in the United States. According to its
advertisements, studies showed that it had "considerable success" in improving the health of a
person's teeth. Suppose that these studies were designed in the following way. The
manufacturer of this toothpaste chose three samples of seven people; the first sample agreed to
use the new brand, the second sample used Brand A, and the third sample used Brand B. After
six months, a dentist examined each person's teeth and scored the health of his or her teeth on
a scale of 0 (lowest possible score) to 100 (highest possible score). The results were as follows:
New Brand
Brand A
Brand B
65
58
54
71
60
38
53
63
43
55
90
61
34
95
94
82
89
96
77
62
82
The manufacturer of the new toothpaste says that the average score for the new brand is 2
points higher than for Brand A and 4 points higher than for Brand B. Would you agree with the
manufacturer's advertisements? Explain.
Transcribed Image Text:7. Some years ago, a new brand of toothpaste was introduced in the United States. According to its advertisements, studies showed that it had "considerable success" in improving the health of a person's teeth. Suppose that these studies were designed in the following way. The manufacturer of this toothpaste chose three samples of seven people; the first sample agreed to use the new brand, the second sample used Brand A, and the third sample used Brand B. After six months, a dentist examined each person's teeth and scored the health of his or her teeth on a scale of 0 (lowest possible score) to 100 (highest possible score). The results were as follows: New Brand Brand A Brand B 65 58 54 71 60 38 53 63 43 55 90 61 34 95 94 82 89 96 77 62 82 The manufacturer of the new toothpaste says that the average score for the new brand is 2 points higher than for Brand A and 4 points higher than for Brand B. Would you agree with the manufacturer's advertisements? Explain.
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