One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The accompanying table contains data for corn flakes thickness in millimeters for four different toasting times in seconds. Complete parts (a) through (d) below. Perform a one-way ANOVA. Find the test statistic. FSTAT=?(Type an integer or decimal rounded to two decimal places as needed.) O Corn Flake Thickness20 sec40 sec60 sec80 sec1.11.51.71.80.81.61.40.70.80.70.70.4PrintDone Critical values of the Studentized Range, QUpper 5% Points (a = 0.05)Denominator,Numerator, dfaf6 734589.1017.97 26.9832.8237.0840.4143.1245.4047.3613.5449.0726.098.339.8010.8811.7412.4413.0313.994.505.916.837.508.048.488859.189.463.935.045.766.296.717.057.357.607.833.644.605.225.676.036.336586.807.006.3.464.344.905.315.635.906.126.326.4973.344.174.685.065.365.615826.006.163.264.044.534.895.175.405.605.775.929.3.203.954.424.765.025.245.435.605.74103.154.334.653.883.824.915.125315.465.60113.114.264.574.825.035.205.355.49123.083.774.204.514.754.955.125.275.405.19513133.063.744.154.454.694.895.055.32143.033.704.114.414.644.834.995.25153.013.674.084.374.604.784.945.085.20163.003.654.054.334.564.744.905.035.15172.983.634.024.304.524.714.864.995.11182.973.614.004.284.504.674.824.965.07192.963.593.984.254.474.654.794.925.04202.953.583.964.234.454.624.774.905.01242.923.533.904.174.374.544.684.814.92302.893.493.854.104.304.464.604.724.82402.863.443.794.044.234.394.524.644.74602.833.403.743.984.164.314444.554.653.693.631202.803.363.924.104.244.364.474.56002.773.313.864.034.174.294.394.47PrintDone

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Description: One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The accompanying table contains data for corn flakes thickness in millimeters for four different toasting times in seconds. Complete parts (a) throu

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.6: Permutations

Problem 5E

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One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The accompanying table contains data for corn flakes thickness in millimeters for four different toasting times in seconds. Complete parts (a) through (d) below.

Perform a one-way ANOVA. Find the test statistic.

FSTAT=?

(Type an integer or decimal rounded to two decimal places as needed.)

O Corn Flake Thickness
20 sec
40 sec
60 sec
80 sec
1.1
1.5
1.7
1.8
0.8
1.6
1.4
0.7
0.8
0.7
0.7
0.4
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Critical values of the Studentized Range, Q
Upper 5% Points (a = 0.05)
Denominator,
Numerator, df
af
6 7
3
4
5
8
9.
10
17.97 26.98
32.82
37.08
40.41
43.12
45.40
47.36
13.54
49.07
2
6.09
8.33
9.80
10.88
11.74
12.44
13.03
13.99
4.50
5.91
6.83
7.50
8.04
8.48
885
9.18
9.46
3.93
5.04
5.76
6.29
6.71
7.05
7.35
7.60
7.83
3.64
4.60
5.22
5.67
6.03
6.33
658
6.80
7.00
6.
3.46
4.34
4.90
5.31
5.63
5.90
6.12
6.32
6.49
7
3.34
4.17
4.68
5.06
5.36
5.61
582
6.00
6.16
3.26
4.04
4.53
4.89
5.17
5.40
5.60
5.77
5.92
9.
3.20
3.95
4.42
4.76
5.02
5.24
5.43
5.60
5.74
10
3.15
4.33
4.65
3.88
3.82
4.91
5.12
531
5.46
5.60
11
3.11
4.26
4.57
4.82
5.03
5.20
5.35
5.49
12
3.08
3.77
4.20
4.51
4.75
4.95
5.12
5.27
5.40
5.19
513
13
3.06
3.74
4.15
4.45
4.69
4.89
5.05
5.32
14
3.03
3.70
4.11
4.41
4.64
4.83
4.99
5.25
15
3.01
3.67
4.08
4.37
4.60
4.78
4.94
5.08
5.20
16
3.00
3.65
4.05
4.33
4.56
4.74
4.90
5.03
5.15
17
2.98
3.63
4.02
4.30
4.52
4.71
4.86
4.99
5.11
18
2.97
3.61
4.00
4.28
4.50
4.67
4.82
4.96
5.07
19
2.96
3.59
3.98
4.25
4.47
4.65
4.79
4.92
5.04
20
2.95
3.58
3.96
4.23
4.45
4.62
4.77
4.90
5.01
24
2.92
3.53
3.90
4.17
4.37
4.54
4.68
4.81
4.92
30
2.89
3.49
3.85
4.10
4.30
4.46
4.60
4.72
4.82
40
2.86
3.44
3.79
4.04
4.23
4.39
4.52
4.64
4.74
60
2.83
3.40
3.74
3.98
4.16
4.31
444
4.55
4.65
3.69
3.63
120
2.80
3.36
3.92
4.10
4.24
4.36
4.47
4.56
00
2.77
3.31
3.86
4.03
4.17
4.29
4.39
4.47
Print
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Expert Solution

Step 1

ANOVA: The analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the population means ( $μ$ ) of more than two independents (unrelated) groups.

The null and alternative hypothesis are,

H₀: There is no significant difference between the treatment means ( $μ$ ).

H₁: At least one treatment differs significantly.

$H_{0} : μ_{1} = μ_{2} = μ_{3} = μ_{4} H_{1} : μ_{1} \neq μ_{2} \neq μ_{3} \neq μ_{4}$

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