The following data represent petal lengths (in cm) for independent random samples of two species of iris.Petal length (in cm) of Iris virginica: xn365.05.86.3 6.1 5.1 5.5 5.3 5.56.9 5.0 4.96.0 4.8 6.1 5.6 5.15.64.8 5.4 5.1 5.1 5.9 5.2 5.75.4 4.5 6.45.3 5.5 6.7 5.7 4.94.8 5.7 5.1 5.1Petal length (in cm) of Iris setosai xai na 301.4 1.8 1.4 1.5 1.5 1.6 1.4 1.11.2 1.4 1.7 1.0 1.7 1.9 1.6 141.5 1.4 1.2 1.3 1.5 1.31.61.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.51.6 1.4 1.3 1.7 1.5 1.5A 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? Atthe 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.(4) Which distribution did you use? Why?O The Student's t-distribution was used because e, and e, are known.O The standard normal distribution was used because e and a, are known.O The Student's t-distribution was used because e, and e are unknown.O The standard normal distribution was used because a, and e 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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Description: The following data represent petal lengths (in cm) for independent random samples of two species of iris.Petal length (in cm) of Iris virginica: xn365.05.86.3 6.1 5.1 5.5 5.3 5.56.9 5.0 4.96.0 4.8 6.1 5.6 5.15.64.8 5.4 5.1 5.1 5.9 5.2 5.75.4 4.5 6.4

The confidence interval is used to get an interval in which the population parameter (unknown) is…

Math

Statistics

The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in em) of Iris virginica xn36 5.0 5.8 6.3 6.1 5.1 5.5 5.3 5.5 6.9 S.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.455.1 5.9 5.2 5.7 5.4 4.56.4 53 5.5 6.7 5.7 4.9 4.8 5.7 5.I 5.1 Petal length (in cm) of Iris setosa ana38 1.4 18 1.4 1.5 1.5 1.6 14 1.1 1.2 14 17 1.0 1.7 19 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 14 1.6 1.2 1.9 1.5 1.6 1.4 1.3 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 em) of Iris virginica xn36 5.0 5.8 6.3 6.1 5.1 5.5 5.3 5.5 6.9 S.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.455.1 5.9 5.2 5.7 5.4 4.56.4 53 5.5 6.7 5.7 4.9 4.8 5.7 5.I 5.1 Petal length (in cm) of Iris setosa ana38 1.4 18 1.4 1.5 1.5 1.6 14 1.1 1.2 14 17 1.0 1.7 19 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 14 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5

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. 5.0 5.8 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 5.6 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 5.9 5.1 5.1 1.6 1.6 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 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.7 (b) Let ?1 be the population mean for x1 and let ?2 be the population mean for x2. Find a 99% confidence interval for ?1 − ?2. (Round your answers to two decimal places.) lower limit=__ upper limit=__
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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: x1; n1 = 36 5.2 5.6 6.1 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 5.6 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 5.8 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 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 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1=s1=x2=s2= (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limitupper limit
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