5 10 The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows. 9 +6 + 3 +... + 11 18 - 6.1111 Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. x2 = X3 = X4 = 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 + 6 + ... + 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. s,? - -ח (9 - 6.1111)2 + (6 – 6.1111)? + ... + (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. s,? - s,² =
5 10 The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows. 9 +6 + 3 +... + 11 18 - 6.1111 Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places. x2 = X3 = X4 = 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 + 6 + ... + 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. s,? - -ח (9 - 6.1111)2 + (6 – 6.1111)? + ... + (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. s,? - s,² =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:9.
1
10
The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
9 + 6 + 3 + ... + 11
18
= 6.1111
Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your results to four decimal places.
X =
X2 =
X =
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 + 6 + ... + 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.
s,? =
n- 1
(9 - 6.1111)? + (6 – 6.1111)? + ... + (11 – 6.1111)?
17
= 21.9869
Find the remaining sample variances of the number of pretzels consumed for each treatment, rounding the results to four decimal places.
s,? =
sz? =
s? =
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
Treatment 4
5
2
6.
1
14
7
1
8.
4
9.
1
4
1
12
6.
4
9.
2
2
9.
1.
7
7
14
8.
8.
15
6
7
5
4
11
11
7
10
1
10
The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
9 + 6
3 +...+ 11
4.
3.
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