k SST - (527 – 503.667)² + - + (423 - 503.667)²

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Step 4
The total sum of squares, SST, is calculated as below where x, is the value of the observation corresponding
to treatment j in block i and x is the overall sample mean.
k
SST = É *; - )?
i = 1j = 1
The overall sample mean was found to be = 503.667. The given data are below.
Critical
Student
Mathematics
Writing
Reading
1
527
533
530
2
593
591
586
465
461
448
4
561
569
550
5
436
481
427
6.
430
455
423
Recall there areb = 6 blocks and k = 3 treatments for a total of 18 terms. Use the given data and
X = 503.667 to find the value of ST, rounding the result to the nearest integer.
b k
SST =
i = 1j = 1
= (527 - 503.667)2 +
+ (423 - 503.667)²
Transcribed Image Text:Step 4 The total sum of squares, SST, is calculated as below where x, is the value of the observation corresponding to treatment j in block i and x is the overall sample mean. k SST = É *; - )? i = 1j = 1 The overall sample mean was found to be = 503.667. The given data are below. Critical Student Mathematics Writing Reading 1 527 533 530 2 593 591 586 465 461 448 4 561 569 550 5 436 481 427 6. 430 455 423 Recall there areb = 6 blocks and k = 3 treatments for a total of 18 terms. Use the given data and X = 503.667 to find the value of ST, rounding the result to the nearest integer. b k SST = i = 1j = 1 = (527 - 503.667)2 + + (423 - 503.667)²
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