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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↓ Construct a 95% confidence interval for the ratio of the two population variances. Based on your confidence interval, you can draw the following conclusion: O The appropriate technique to test the difference between these two population means is the unequal-variances t-test. O The appropriate technique to test the difference between these two population means is the EQUAL-variances t-test.

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↓ Construct a 95% confidence interval for the ratio of the two population variances. Based on your confidence interval, you can draw the following conclusion: O The appropriate technique to test the difference between these two population means is the unequal-variances t-test. O The appropriate technique to test the difference between these two population means is the EQUAL-variances t-test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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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↓ Construct a 95% confidence interval for the ratio of the two population variances. Based on your confidence interval, you can draw the following conclusion: O The appropriate technique to test the difference between these two population means is the unequal-variances t-test. O The appropriate technique to test the difference between these two population means is the EQUAL-variances t-test.
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↓ Construct a 95% confidence interval for the ratio of the two population variances. Based on your confidence interval, you can draw the following conclusion: O The appropriate technique to test the difference between these two population means is the unequal-variances t-test. O The appropriate technique to test the difference between these two population means is the EQUAL-variances t-test.
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