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
icon
Related questions
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 =
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
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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman