Twelve (n₁ = 12) randomly selected mature citrus trees of one variety have a mean height of I₁ = 13.8 feet, and n₂ = 15 randomly selected mature citrus trees of another variety have a mean height of 2 = 12.9 feet. Assume that the random samples were selected from normal population with known standard deviations of o1 = 1.2 feet and 2 = 1.5 feet. We want to estimate the difference between the population mean heights of the two kinds of citrus trees. (a) Use StatKey to find the critical (quantile) value necessary to construct a 95% confidence interval for the difference between the population mean heights of the two kinds of citrus trees. (b) Using the critical (quantile) value you found in part (a), construct a 95% confidence interval for the difference between population mean heights of the two kinds of citrus trees. (c) Provide an appropriate interpretation of the confidence interval you found in part (b).
Twelve (n₁ = 12) randomly selected mature citrus trees of one variety have a mean height of I₁ = 13.8 feet, and n₂ = 15 randomly selected mature citrus trees of another variety have a mean height of 2 = 12.9 feet. Assume that the random samples were selected from normal population with known standard deviations of o1 = 1.2 feet and 2 = 1.5 feet. We want to estimate the difference between the population mean heights of the two kinds of citrus trees. (a) Use StatKey to find the critical (quantile) value necessary to construct a 95% confidence interval for the difference between the population mean heights of the two kinds of citrus trees. (b) Using the critical (quantile) value you found in part (a), construct a 95% confidence interval for the difference between population mean heights of the two kinds of citrus trees. (c) Provide an appropriate interpretation of the confidence interval you found in part (b).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Transcribed Image Text:Twelve (n₁ = 12) randomly selected mature citrus trees of one variety have a mean height of
T₁ = 13.8 feet, and n₂ = 15 randomly selected mature citrus trees of another variety have a
mean height of 2 = 12.9 feet. Assume that the random samples were selected from normal
population with known standard deviations of ₁ = 1.2 feet and o2 = 1.5 feet. We want to
estimate the difference between the population mean heights of the two kinds of citrus trees.
(a) Use StatKey to find the critical (quantile) value necessary to construct a 95% confidence
interval for the difference between the population mean heights of the two kinds of citrus
trees.
(b) Using the critical (quantile) value you found in part (a), construct a 95% confidence interval
for the difference between population mean heights of the two kinds of citrus trees.
(c) Provide an appropriate interpretation of the confidence interval you found in part (b).
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