spite some controversy, scientists generally agree that high-fiber cereals reduce the likelihood of various ms of cancer. However, one scientist claims that people who eat high-fiber cereal for breakfast will sume, on average, fewer calories for lunch than people who don't eat high-fiber cereal for breakfast. his is true, we can add weight-reduction to the other reasons to eat a high-fiber cereal for breakfast. As a liminary test of the claim, 150 people were randomly selected and asked what they regularly eat for akfast and lunch. Each person was identified as either a consumer or a nonconsumer of high-fiber cereal, the number of calories consumed at lunch was measured and recorded. These data can be found at high- er.csv ↓ μ₁ = mean caloric intake of consumers and μ2= mean caloric intake of nonconsumers. e appropriate null and alternative hypotheses, Ho and Ha, are Ho ₁₂0 vs H₂ μ₁ −μ2 > 0

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Data is found in the following link: https://www.dropbox.com/s/a358oehhaa04fjn/high-fiber.csv?dl=0

Despite some controversy, scientists generally agree that high-fiber cereals reduce the likelihood of various
forms of cancer. However, one scientist claims that people who eat high-fiber cereal for breakfast will
consume, on average, fewer calories for lunch than people who don't eat high-fiber cereal for breakfast.
If this is true, we can add weight-reduction to the other reasons to eat a high-fiber cereal for breakfast. As a
preliminary test of the claim, 150 people were randomly selected and asked what they regularly eat for
breakfast and lunch. Each person was identified as either a consumer or a nonconsumer of high-fiber cereal,
and the number of calories consumed at lunch was measured and recorded. These data can be found at high-
fiber.csv
Let μ₁= mean caloric intake of consumers and μ2 = mean caloric intake of nonconsumers.
The appropriate null and alternative hypotheses, Hoand Ha, are
O Ho M₁ M₂ = 0 vs H₂ M₁ M₂ > 0
O H₂ μ₁ − μ2₂ = 0 vs H₂
μ₁ −μ₂ 0
O H₂ μ₁ −μ₂ = 0 vs H₂ μ₁ −μ₂ <0
Transcribed Image Text:Despite some controversy, scientists generally agree that high-fiber cereals reduce the likelihood of various forms of cancer. However, one scientist claims that people who eat high-fiber cereal for breakfast will consume, on average, fewer calories for lunch than people who don't eat high-fiber cereal for breakfast. If this is true, we can add weight-reduction to the other reasons to eat a high-fiber cereal for breakfast. As a preliminary test of the claim, 150 people were randomly selected and asked what they regularly eat for breakfast and lunch. Each person was identified as either a consumer or a nonconsumer of high-fiber cereal, and the number of calories consumed at lunch was measured and recorded. These data can be found at high- fiber.csv Let μ₁= mean caloric intake of consumers and μ2 = mean caloric intake of nonconsumers. The appropriate null and alternative hypotheses, Hoand Ha, are O Ho M₁ M₂ = 0 vs H₂ M₁ M₂ > 0 O H₂ μ₁ − μ2₂ = 0 vs H₂ μ₁ −μ₂ 0 O H₂ μ₁ −μ₂ = 0 vs H₂ μ₁ −μ₂ <0
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