To study the effectiveness of five different kinds of packaging, a processor of a breakfast food puts each kind into five different supermarkets. Use the following data, representing the number of sales of the breakfast food between 9 AM and noon on a given day, to test the null hypothesis that packaging has no effect on sales at the level of significance a = 0.01: Packaging 1: 45 32 36 32 40 Packaging 2: 37 34 46 48 44 51 35 Packaging 3 : 35 37 46 Packaging 4: 36 38 50 40 36 45 45 Packaging 5 : 42 39 37

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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PROBLEM STATEMENT 1
To study the effectiveness of five different kinds of packaging, a processor of a breakfast food
puts each kind into five different supermarkets. Use the following data, representing the number
of sales of the breakfast food between 9 AM and noon on a given day, to test the null hypothesis
that packaging has no effect on sales at the level of significance a = 0.01:
Packaging 1: 45
Packaging 2: 37
Packaging 3: 35
Packaging 4: 36
Packaging 5: 42
32
36
32
40
34
46
44
51
37
48
46
35
38
50
36
45
39
40
45
37
HYPOTHESIS
Но:
На:
Test at a= 0.01
Critical Region: F >
at vi = v2=
ASSUMPTIONS
1. The populations from which the samples are taken have a normal distribution.
2. The populations have the same variance or standard deviation
3. The samples have randomly-picked members and that the samples are independent of
each other.
CALCULATIONS:
Source of Variation
Degrees of
Sum of
Squares (SS)
Mean
squares (MS)
F
Freedom
Treatments
Errors
Total
ANALYSIS:
CONCLUSION:
Transcribed Image Text:PROBLEM STATEMENT 1 To study the effectiveness of five different kinds of packaging, a processor of a breakfast food puts each kind into five different supermarkets. Use the following data, representing the number of sales of the breakfast food between 9 AM and noon on a given day, to test the null hypothesis that packaging has no effect on sales at the level of significance a = 0.01: Packaging 1: 45 Packaging 2: 37 Packaging 3: 35 Packaging 4: 36 Packaging 5: 42 32 36 32 40 34 46 44 51 37 48 46 35 38 50 36 45 39 40 45 37 HYPOTHESIS Но: На: Test at a= 0.01 Critical Region: F > at vi = v2= ASSUMPTIONS 1. The populations from which the samples are taken have a normal distribution. 2. The populations have the same variance or standard deviation 3. The samples have randomly-picked members and that the samples are independent of each other. CALCULATIONS: Source of Variation Degrees of Sum of Squares (SS) Mean squares (MS) F Freedom Treatments Errors Total ANALYSIS: CONCLUSION:
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