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The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica xn, 36 5.0 5.8 6.3 6.1 5.1 5.3 5.5 5.5 6.9 5.0 4.9 6.0 5.6 5.1 4.8 6.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 6.4 5.3 5.4 4.5 5.5 6.7 5.7 4.9 4.8 5.7 5.1 5.1 Petal length (in cm) of Iris setosai xal 38 1.4 1.8 1.4 15 1.5 1.6 1.4 11 1.2 10 1.7 1.4 1.7 1.9 1.6 14 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.6 1.5 1.4 1.4 1.6 1.2 1.9 1.5 1.6 1.4 13 1.7 1.5 1.5

The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica xn, 36 5.0 5.8 6.3 6.1 5.1 5.3 5.5 5.5 6.9 5.0 4.9 6.0 5.6 5.1 4.8 6.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 6.4 5.3 5.4 4.5 5.5 6.7 5.7 4.9 4.8 5.7 5.1 5.1 Petal length (in cm) of Iris setosai xal 38 1.4 1.8 1.4 15 1.5 1.6 1.4 11 1.2 10 1.7 1.4 1.7 1.9 1.6 14 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.6 1.5 1.4 1.4 1.6 1.2 1.9 1.5 1.6 1.4 13 1.7 1.5 1.5

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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The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: xn, 36 5.0 6.3 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.8 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.7 5.1 5.1 Petal length (in cm) of Iris setosa x n38 1.4 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 14 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.6 1.5 1.4 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5 A USE SALT
Transcribed Image Text:The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: xn, 36 5.0 6.3 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.8 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.7 5.1 5.1 Petal length (in cm) of Iris setosa x n38 1.4 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 14 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.6 1.5 1.4 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5 A USE SALT
(c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? O Because the interval contains only positive numbers, we can say that the mean petal length of Iris virginica is longer. O Because the interval contains only negative numbers, we can say that the mean petal length of Iris virginica is shorter. O Because the interval contains both positive and negative numbers, we cannot say that the mean petal length of Iris virginica is longer. (d) Which distribution did you use? Why? O The Student's t-distribution was used because a, and a, are known. O The standard normal distribution was used because e, and e, are known. O The Student's t-distribution was used because o, and a, are unknown. O The standard normal distribution was used because e, and a, are unknown. Do you need information about the petal length distributions? Explain. O Both samples are large, so information about the distributions is not needed. O Both samples are small, so information about the distributions is not needed. O Both samples are large, so information about the distributions is needed. O Both samples are small, so information about the distributions is needed.
Transcribed Image Text:(c) Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa? O Because the interval contains only positive numbers, we can say that the mean petal length of Iris virginica is longer. O Because the interval contains only negative numbers, we can say that the mean petal length of Iris virginica is shorter. O Because the interval contains both positive and negative numbers, we cannot say that the mean petal length of Iris virginica is longer. (d) Which distribution did you use? Why? O The Student's t-distribution was used because a, and a, are known. O The standard normal distribution was used because e, and e, are known. O The Student's t-distribution was used because o, and a, are unknown. O The standard normal distribution was used because e, and a, are unknown. Do you need information about the petal length distributions? Explain. O Both samples are large, so information about the distributions is not needed. O Both samples are small, so information about the distributions is not needed. O Both samples are large, so information about the distributions is needed. O Both samples are small, so information about the distributions is needed.
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