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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 18HP
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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
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