Farmer Joe has another idea. His plants have been growing really well while using water, but maybe they would grow even better if he ran Gatorade through the irrigation pipes because Gatorade has electrolytes. Before he switches over, he randomly selects 50 tomato plants and "waters" each of them daily with Gatorade in order to track the yield of the plants compared to the rest of his crops that are watered normally. The yield of the tomato plants that have been "watered" with Gatorade is approximately normal with a mean of 3 tomatoes and a standard deviation of 1 tomato. He constructs and interprets a 90% confidence interval for the true mean yield for all tomato plants that are watered with Gatorade. Which of the following steps, if any, contain an error? Conclude: We are 90% confident that the interval from 2.763 tomatoes to 3.237 tomatoes captures the true mean yield for all tomato plants that are "watered" with Gatorade. None of the steps contain an error. Plan: One-sample t interval for μ Random? Random sample of 50 plants. Yes! Normal/Large Sample? The sample size is large, n = 50 > 30. State: We want to estimate = the true mean yield for all tomato plants that are "watered" with Gatorade. Do: (2.763, 3.237)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Farmer Joe has another idea. His plants have been growing really well while using water, but maybe they would grow even
better if he ran Gatorade through the irrigation pipes because Gatorade has electrolytes. Before he switches over, he randomly
selects 50 tomato plants and "waters" each of them daily with Gatorade in order to track the yield of the plants compared to the
rest of his crops that are watered normally. The yield of the tomato plants that have been "watered" with Gatorade is
approximately normal with a mean of 3 tomatoes and a standard deviation of 1 tomato.
He constructs and interprets a 90% confidence interval for the true mean yield for all tomato plants that are watered with
Gatorade.
Which of the following steps, if any, contain an error?
Conclude: We are 90% confident that the interval from 2.763 tomatoes to 3.237 tomatoes captures the true mean yield
for all tomato plants that are "watered" with Gatorade.
None of the steps contain an error.
Plan: One-sample t interval for μ Random? Random sample of 50 plants. Yes! Normal/Large Sample? The sample size
Н
is large, n = 50 > 30.
State: We want to estimate μ = the true mean yield for all tomato plants that are "watered" with Gatorade.
Do: (2.763, 3.237)
Transcribed Image Text:Farmer Joe has another idea. His plants have been growing really well while using water, but maybe they would grow even better if he ran Gatorade through the irrigation pipes because Gatorade has electrolytes. Before he switches over, he randomly selects 50 tomato plants and "waters" each of them daily with Gatorade in order to track the yield of the plants compared to the rest of his crops that are watered normally. The yield of the tomato plants that have been "watered" with Gatorade is approximately normal with a mean of 3 tomatoes and a standard deviation of 1 tomato. He constructs and interprets a 90% confidence interval for the true mean yield for all tomato plants that are watered with Gatorade. Which of the following steps, if any, contain an error? Conclude: We are 90% confident that the interval from 2.763 tomatoes to 3.237 tomatoes captures the true mean yield for all tomato plants that are "watered" with Gatorade. None of the steps contain an error. Plan: One-sample t interval for μ Random? Random sample of 50 plants. Yes! Normal/Large Sample? The sample size Н is large, n = 50 > 30. State: We want to estimate μ = the true mean yield for all tomato plants that are "watered" with Gatorade. Do: (2.763, 3.237)
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