3) Independent random samples were selected from three populations, shown in the table: Sample 1 2.1 3.3 Sample 2 Sample 3 4.4 1.1 2.6 0.2 a) Calculate the MSB for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity? 0.2 3.0 2.0 1.9 b) Calculate MSw for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity?
3) Independent random samples were selected from three populations, shown in the table: Sample 1 2.1 3.3 Sample 2 Sample 3 4.4 1.1 2.6 0.2 a) Calculate the MSB for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity? 0.2 3.0 2.0 1.9 b) Calculate MSw for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity?
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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Please help me with number three
![**Problem Statement:**
Find \( F(\alpha) \) for an \( F \) ratio with 15 numerator and 12 denominator degrees of freedom (df) for the following values of \(\alpha\):
a) \(\alpha = 0.025\)
b) \(\alpha = 0.05\)
c) \(\alpha = 0.10\)
**Data Analysis:**
3) Independent random samples were selected from three populations, shown in the table:
\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Sample 1} & \text{Sample 2} & \text{Sample 3} \\
\hline
& 2.1 & 4.4 & 1.1 \\
& 3.3 & 2.6 & 0.2 \\
& 0.2 & 3.0 & 2.0 \\
& & & 1.9 \\
\hline
\end{array}
\]
a) Calculate the \( MS_B \) for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity?
b) Calculate the \( MS_W \) for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb0540d8-126b-4df1-bdb3-c8d176e8543c%2F24d1f56d-82df-4547-a471-316cbdcab8fd%2Fz6mdedc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find \( F(\alpha) \) for an \( F \) ratio with 15 numerator and 12 denominator degrees of freedom (df) for the following values of \(\alpha\):
a) \(\alpha = 0.025\)
b) \(\alpha = 0.05\)
c) \(\alpha = 0.10\)
**Data Analysis:**
3) Independent random samples were selected from three populations, shown in the table:
\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Sample 1} & \text{Sample 2} & \text{Sample 3} \\
\hline
& 2.1 & 4.4 & 1.1 \\
& 3.3 & 2.6 & 0.2 \\
& 0.2 & 3.0 & 2.0 \\
& & & 1.9 \\
\hline
\end{array}
\]
a) Calculate the \( MS_B \) for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity?
b) Calculate the \( MS_W \) for the data. What type of variability is measured by this quantity? How many degrees of freedom are associated with this quantity?
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