Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. X₂ -6.4800 X3 = 3.7059 X4 - 2.8571 The overall sample mean is the mean of all 74 observations and it will be used in the calculations for the variance. It is calculated below, rounded to four decimal places. 9 +6+ +5+9+ +2 +6+ +5+1 ++3 7 74 5.0676 The sample variance of the number of pretzels consumed for Treatment 1 is calculated as follows, with the final result rounded to four decimal places. 2 ■ $₁² . Σ(-x) n-1 = 21.9869 Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places. 2 8.5108 x I (96.1111)2+(66.1111)2++ (11-6.1111)² 17
Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. X₂ -6.4800 X3 = 3.7059 X4 - 2.8571 The overall sample mean is the mean of all 74 observations and it will be used in the calculations for the variance. It is calculated below, rounded to four decimal places. 9 +6+ +5+9+ +2 +6+ +5+1 ++3 7 74 5.0676 The sample variance of the number of pretzels consumed for Treatment 1 is calculated as follows, with the final result rounded to four decimal places. 2 ■ $₁² . Σ(-x) n-1 = 21.9869 Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places. 2 8.5108 x I (96.1111)2+(66.1111)2++ (11-6.1111)² 17
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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Question
![Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places.
x₂ = 6.4800
x3 = 3.7059
X4 = 2.8571
The overall sample mean is the mean of all 74 observations and it will be used in the calculations for the variance. It is calculated below, rounded to four decimal places.
9 + 6 +
+5+9+ + 2 + 6 + + 5 + 1 + + 3
74
7
✔
= 5.0676
The sample variance of the number of pretzels consumed for Treatment 1 is calculated as follows, with the final result rounded to four decimal places.
5₁² = [(x - x)²
n - 1
S₁² =
_ (96.1111)² + (6 6.1111)2 + + (11-6.1111)²
17
= 21.9869
Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places.
= 8.5108
5₂
X
5₂² =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0269bd-3cd7-47ab-a8ad-ac25d98e0540%2F4d42ec70-95bd-4a37-8304-f6919ca9efa7%2Fsyqwv5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places.
x₂ = 6.4800
x3 = 3.7059
X4 = 2.8571
The overall sample mean is the mean of all 74 observations and it will be used in the calculations for the variance. It is calculated below, rounded to four decimal places.
9 + 6 +
+5+9+ + 2 + 6 + + 5 + 1 + + 3
74
7
✔
= 5.0676
The sample variance of the number of pretzels consumed for Treatment 1 is calculated as follows, with the final result rounded to four decimal places.
5₁² = [(x - x)²
n - 1
S₁² =
_ (96.1111)² + (6 6.1111)2 + + (11-6.1111)²
17
= 21.9869
Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places.
= 8.5108
5₂
X
5₂² =
![The sample means and variances of the observed data are needed to find the values in the sum of squares column. The given data are below.
Treatment 1 Treatment 2 Treatment 3
9
=
6
3
14
1
2
0
9
12
0
2
5
7
3
15
6
5
11
5
9
= 6.1111
0
3
8
9
5
2
6
9
9
7
13
00
8
0
5
4
12
7
5
10
9
5
2
10
9 +6+3+...+ 11
18
2
6
1
0
4
0
4
3
3
6
6
7
9
3
0
5
4
Treatment 4
5
1
5
6
in
5
1
0
0
2
4
1
4
The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
3
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b0269bd-3cd7-47ab-a8ad-ac25d98e0540%2F4d42ec70-95bd-4a37-8304-f6919ca9efa7%2Fev1pu1l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The sample means and variances of the observed data are needed to find the values in the sum of squares column. The given data are below.
Treatment 1 Treatment 2 Treatment 3
9
=
6
3
14
1
2
0
9
12
0
2
5
7
3
15
6
5
11
5
9
= 6.1111
0
3
8
9
5
2
6
9
9
7
13
00
8
0
5
4
12
7
5
10
9
5
2
10
9 +6+3+...+ 11
18
2
6
1
0
4
0
4
3
3
6
6
7
9
3
0
5
4
Treatment 4
5
1
5
6
in
5
1
0
0
2
4
1
4
The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
3
3
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