The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows. 9+7+3+...+11 18 6.1667 Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. x₂ = x3 = 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 +7+ +5+9+ +2 +6+ + 5+1 ++3 74 = 5.0135 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. $1 Σ(x-x)² n-1 (9-6.1667)2 + (7-6.1667)2++ (11-6.1667)2 17 = 22.0294 Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places. 5₂² = 3- = S₁² =

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
9+7+3+...+ 11
18
Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places.
x₂ =
x₂ =
X₁ =
= 6.1667
The overall sample mean x 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 +7+ +5+9+ + 2 + 6 + + 5+1+ + 3
74
7
= 5.0135
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.
5²
5₁² = [(x - x)²
n-1
(9-6.1667)² + (7 6.1667)²++ (11 - 6.1667)²
17
= 22.0294
Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places.
Transcribed Image Text:The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows. 9+7+3+...+ 11 18 Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. x₂ = x₂ = X₁ = = 6.1667 The overall sample mean x 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 +7+ +5+9+ + 2 + 6 + + 5+1+ + 3 74 7 = 5.0135 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. 5² 5₁² = [(x - x)² n-1 (9-6.1667)² + (7 6.1667)²++ (11 - 6.1667)² 17 = 22.0294 Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places.
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 3 Treatment 4
Treatment
9
7
3
14
1
2
0
9
12
0
2
5
6
3
15
7
5
11
Treatment 2
5
9
0
3
8
9
5
1
6
9
9
7
13
8
0
5
4
11
7
5
10
9
5
1
10
2
6
1
0
4
0
4
3
3
6
6
5
9
3
0
7
4
5
1
5
6
5
1
0
0
4
2
1
2
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 3 Treatment 4 Treatment 9 7 3 14 1 2 0 9 12 0 2 5 6 3 15 7 5 11 Treatment 2 5 9 0 3 8 9 5 1 6 9 9 7 13 8 0 5 4 11 7 5 10 9 5 1 10 2 6 1 0 4 0 4 3 3 6 6 5 9 3 0 7 4 5 1 5 6 5 1 0 0 4 2 1 2 3 3
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