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; n¸ = 355.2 5.9 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.15.6 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 4.94.8 5.8 5.2Petal length (in cm) of Iris setosa: x2; nɔ = 381.6 1.7 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 1.41.5 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 1.51.6 1.4 1.3 1.7 1.5 1.6(a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and s2. (Round your answers totwo decimal places.)X1S1 =S2(b) Let uz be the population mean for x1 and let µz be the population mean for x2. Find a 99% confidence intervalfor u1 - µ2. (Round your answers to two decimal places.)lower limitupper limit

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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: x1; n¸ = 355.2 5.9 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.15.6 4.8 5.4 5.1 5.1 5.9 5.2 5.

For any given data Sample mean, x¯=∑xin, where n =sample size xi=ith observation for…

Answered: The following data represent petal…

MATLAB: An Introduction with Applications

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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: x1; n¸ = 35
5.2 5.9 6.2 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
Petal length (in cm) of Iris setosa: x2; nɔ = 38
1.6 1.7 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 1.6
(a) Use a calculator with mean and standard deviation keys to calculate x1, S1, X2, and s2. (Round your answers to
two decimal places.)
X1
S1 =
S2
(b) Let uz be the population mean for x1 and let µz be the population mean for x2. Find a 99% confidence interval
for u1 - µ2. (Round your answers to two decimal places.)
lower limit
upper limit

Expert Solution

Introduction

For any given data

Sample mean,

${\bar{x}}_{} = \frac{\sum_{} x_{i}}{n_{}}, w h e r e n_{} = s a m p l e s i z e x_{_{i}} = i^{t h} o b s e r v a t i o n f o r t h e g r o u p$

And the sample standard deviation is,

$σ = \sqrt{\frac{\sum_{} {(x_{i} - \bar{x})}^{2}}{n - 1}}$

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