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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 9 5 2 5 6 9 6 1 3 0 1 5 14 4 0 6 1 8 4 5 2 9 0 1 0 5 4 0 9 2 3 0 12 6 3 4 0 9 6 2 2 9 6 1 5 7 7 2 7 14 8 3 3 8 3 3 15 0 0   6 5 5   5 3 4   11 12       7       5       10       9       5       2       10     The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows. x1  =  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     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       =  5.0405 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. s12  =     x − x   2        n − 1       =  (9 − 6.1111)2 + (6 − 6.1111)2 +    + (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. s22  =      s32  =      s42  =

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 9 5 2 5 6 9 6 1 3 0 1 5 14 4 0 6 1 8 4 5 2 9 0 1 0 5 4 0 9 2 3 0 12 6 3 4 0 9 6 2 2 9 6 1 5 7 7 2 7 14 8 3 3 8 3 3 15 0 0   6 5 5   5 3 4   11 12       7       5       10       9       5       2       10     The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows. x1  =  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     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       =  5.0405 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. s12  =     x − x   2        n − 1       =  (9 − 6.1111)2 + (6 − 6.1111)2 +    + (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. s22  =      s32  =      s42  =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
9 5 2 5
6 9 6 1
3 0 1 5
14 4 0 6
1 8 4 5
2 9 0 1
0 5 4 0
9 2 3 0
12 6 3 4
0 9 6 2
2 9 6 1
5 7 7 2
7 14 8 3
3 8 3 3
15 0 0  
6 5 5  
5 3 4  
11 12    
  7    
  5    
  10    
  9    
  5    
  2    
  10    
The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is calculated as follows.
x1  = 
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 
 
 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
 
 
   =  5.0405
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.
s12  = 
 
 
x − x
  2
 
 
 
 
n − 1
 
 
   = 
(9 − 6.1111)2 + (6 − 6.1111)2 +    + (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.
s22  =   
 
s32  =   
 
s42  =   
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it should be  four decimal places..

X = 2.7142857143 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+... 74 = 5.0405 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,2 = n- 1 (9 - 6.1111)? + (6 - 6.1111)2 + ... + (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. 5,2 = 12.59 s3 = 6.24 4.07
Transcribed Image Text:X = 2.7142857143 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+... 74 = 5.0405 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,2 = n- 1 (9 - 6.1111)? + (6 - 6.1111)2 + ... + (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. 5,2 = 12.59 s3 = 6.24 4.07
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