The sample size, mean, and variance of each treatment as well as the overall sample mean are summarized below. n, = 18, x, = 6.1111, s,2 = 21.9869 n2 = 25, x, = 6.4, s,? - 13.0000 n3 = 17, x3 = 3.6471, s,? 2 = 6.2426 n4 = 14, x4 = 2.7857, s,2 = 4.6429 = 5.0135 Use these values to calculate SSTT, rounding intermediate values to four decimal places and the result to three decimal places. STr = n,(x, - 7)2 + n,(x, - )2 + = 18(6.1111 - 5.0135)? + 25(6.4 - 5.0135)? + 17(3.6471 - 5.0135)? + 14( - 5.012) The next value to find is the sum of squares due to error, SSE. Use the above sample sizes and variances to calculate SSE, rounding intermediate values to four decimal places and the result to three decimal places. SSE = (n, - 1)5,? + (n, - 1)s, + + (n, - 1)s 2 = (n, - 1)5,? + (n, - 1)5,2 + (ng - 1)s,² + (n4 - 1)s,2 = (18 - 1)(21.9869) + (25 - 1)(13.0000) + (17 - 1)(6.2426) + (14 - 1)
The sample size, mean, and variance of each treatment as well as the overall sample mean are summarized below. n, = 18, x, = 6.1111, s,2 = 21.9869 n2 = 25, x, = 6.4, s,? - 13.0000 n3 = 17, x3 = 3.6471, s,? 2 = 6.2426 n4 = 14, x4 = 2.7857, s,2 = 4.6429 = 5.0135 Use these values to calculate SSTT, rounding intermediate values to four decimal places and the result to three decimal places. STr = n,(x, - 7)2 + n,(x, - )2 + = 18(6.1111 - 5.0135)? + 25(6.4 - 5.0135)? + 17(3.6471 - 5.0135)? + 14( - 5.012) The next value to find is the sum of squares due to error, SSE. Use the above sample sizes and variances to calculate SSE, rounding intermediate values to four decimal places and the result to three decimal places. SSE = (n, - 1)5,? + (n, - 1)s, + + (n, - 1)s 2 = (n, - 1)5,? + (n, - 1)5,2 + (ng - 1)s,² + (n4 - 1)s,2 = (18 - 1)(21.9869) + (25 - 1)(13.0000) + (17 - 1)(6.2426) + (14 - 1)
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...
Related questions
Question
Transcribed Image Text:The sample size, mean, and variance of each treatment as well as the overall sample mean are summarized below.
n, = 18, x, = 6.1111, s,2 = 21.9869
n2 = 25, x, = 6.4, s,? - 13.0000
n3 = 17, x3 = 3.6471, s,?
2 = 6.2426
n4 = 14, x4 = 2.7857, s,2 = 4.6429
= 5.0135
Use these values to calculate SSTT, rounding intermediate values to four decimal places and the result to three decimal places.
STr = n,(x, - 7)2 + n,(x, - )2 +
= 18(6.1111 - 5.0135)? + 25(6.4 - 5.0135)? + 17(3.6471 - 5.0135)? + 14(
- 5.012)
The next value to find is the sum of squares due to error, SSE. Use the above sample sizes and variances to calculate SSE, rounding intermediate values to four decimal places and the result to three decimal places.
SSE = (n, - 1)5,? + (n, - 1)s, +
+ (n, - 1)s 2
= (n, - 1)5,? + (n, - 1)5,2 + (ng - 1)s,² + (n4 - 1)s,2
= (18 - 1)(21.9869) + (25 - 1)(13.0000) + (17 - 1)(6.2426) + (14 - 1)
Transcribed Image Text:Step 3
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
5
6
3
1
5
14
4
7
4
4
1
12
6
4
2
2
6
7
2
7
14
3
3
3
15
7
4
11
11
7
5
10
1
10
in
00
in
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON