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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 Using R, carry out the appropriate hypothesis test at significance level a = 0.05. You conclude O At the 5% significance level, there is NOT sufficient evidence to infer that calorie intake at lunch for consumers of high- fiber cereal differs from nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat more calories at lunch than do nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat fewer calories at lunch than do nonconsumers (on average).

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 Using R, carry out the appropriate hypothesis test at significance level a = 0.05. You conclude O At the 5% significance level, there is NOT sufficient evidence to infer that calorie intake at lunch for consumers of high- fiber cereal differs from nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat more calories at lunch than do nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat fewer calories at lunch than do nonconsumers (on average).

MATLAB: An Introduction with Applications
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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[Statistics] How do you solve this using R or RStudio?

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 Using R, carry out the appropriate hypothesis test at significance level a = 0.05. You conclude O At the 5% significance level, there is NOT sufficient evidence to infer that calorie intake at lunch for consumers of high- fiber cereal differs from nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat more calories at lunch than do nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat fewer calories at lunch than do nonconsumers (on average).
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 Using R, carry out the appropriate hypothesis test at significance level a = 0.05. You conclude O At the 5% significance level, there is NOT sufficient evidence to infer that calorie intake at lunch for consumers of high- fiber cereal differs from nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat more calories at lunch than do nonconsumers (on average). O At the 5% significance level, there is sufficient evidence to infer that consumers of high-fiber cereal do eat fewer calories at lunch than do nonconsumers (on average).
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