Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. x₂ = 6.3600 X3 = 3.7058 X4 = 2.7142 X 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 $₂ x = $3 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. $₁² = Σ(x-x)² n-1 X = 6.8455 = 5.0135 = 22.0294 Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places. 2= 12.4066 4.0659 (9-6.1667)2 + (7 6.1667)2+...+(11 - 6.1667)² 17 X
Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. x₂ = 6.3600 X3 = 3.7058 X4 = 2.7142 X 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 $₂ x = $3 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. $₁² = Σ(x-x)² n-1 X = 6.8455 = 5.0135 = 22.0294 Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places. 2= 12.4066 4.0659 (9-6.1667)2 + (7 6.1667)2+...+(11 - 6.1667)² 17 X
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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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
7
3
14
1
2
0
9
12
0
2
5
6
3
15
7
5
11
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
Treatment 4
5
1
5
6
5
1
0
0
4
2
1
2
3
3
Transcribed Image Text:The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
= 3.7058
X
53
=
Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places.
x₂ = 6.3600
✓
9 +7+3+ + 11
= 6.1667
X₁ = 2.7142
X
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.
6.8455
X
= 4.0659
= 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.
10
18
5₁² = [(x - x)²
n 1
9 + 7 + + 5 + 9 + + 2 + 6 + + 5+1+...+3
74
= 22.0294
(9 - 6.1667)² + (7 6.1667)2+...+(11 - 6.1667)²
Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places.
$₂
12.4066
x
X
✔
17
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