Five strains of bacteria were observed for 24 hours. The table given to the right reports bacteria counts, in millions, for different cases from each of the five strains. Some summary statistics for these data are given below. A|B|c|D|E 4 31 39 19 46 24 16 29 21 33 14 20 28 15 33 10 16 20 16 33 52 47 69|27|49 At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean bacteria counts among the five strains? T, = 104, T2 = 130, T3 = 185, T, = 98, T, = 194, and Ex? = 25,777 9 Click the icon to view a table of values of F. Let u, 2. Ha: Pa, and us be the population means for strains A, B, C, D, and E, respectively. What are the correct hypotheses for a one-way ANOVA test? O A. Ho: H, #H2 # H3 #H4 # Hs H: All the means are equal. O B. Ho: H, =2 =H3 =H4 =Hs H: Not all the means are equal. O D. Ho: H =2 =H3 = H4 = H5 OC. Họ: H1 42 # H3 # H4 Hs H, H =H2 = H3 =H4 = H5 Determine the F-statistic. F=O (Round to two decimal places as needed.) Determine the critical value F F=O (Round to two decimal places as needed.) Since the F-statistic falls in the rejection region, do not reject Ho. The data do not provide sufficient evidence to conclude that the population means are not all the same.
Five strains of bacteria were observed for 24 hours. The table given to the right reports bacteria counts, in millions, for different cases from each of the five strains. Some summary statistics for these data are given below. A|B|c|D|E 4 31 39 19 46 24 16 29 21 33 14 20 28 15 33 10 16 20 16 33 52 47 69|27|49 At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean bacteria counts among the five strains? T, = 104, T2 = 130, T3 = 185, T, = 98, T, = 194, and Ex? = 25,777 9 Click the icon to view a table of values of F. Let u, 2. Ha: Pa, and us be the population means for strains A, B, C, D, and E, respectively. What are the correct hypotheses for a one-way ANOVA test? O A. Ho: H, #H2 # H3 #H4 # Hs H: All the means are equal. O B. Ho: H, =2 =H3 =H4 =Hs H: Not all the means are equal. O D. Ho: H =2 =H3 = H4 = H5 OC. Họ: H1 42 # H3 # H4 Hs H, H =H2 = H3 =H4 = H5 Determine the F-statistic. F=O (Round to two decimal places as needed.) Determine the critical value F F=O (Round to two decimal places as needed.) Since the F-statistic falls in the rejection region, do not reject Ho. The data do not provide sufficient evidence to conclude that the population means are not all the same.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Five strains of bacteria were observed for 24 hours. The table given to the right reports bacteria counts, in millions, for different cases from each of the five strains. Some summary statistics for these data are given below. ABC DED
31 39 19 46
24 16 29 21 33
14 20 28 15 33
10 16 20 16 33
52 47 69 27 49
At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean bacteria counts among the five strains?
T, = 104, T2 = 130, T3 = 185, T4 = 98, T5 = 194, and x2 = 25,777
Click the icon to view a table of values of F
Let u1, H2, Ha: H4, and s be the population means for strains A, B, C, D, and E, respectively. What are the correct hypotheses for a one-way ANOVA test?
O A. Ho: H, # Hz # H3 # H4 # H5
O B. Hg: H, = H2 = H3 = H4 = H5
H: Not all the means are equal.
H3: All the means are equal.
OC. Ho: H1 + µ2 # H3 # H4 H5
SH = *rl = Erl = ?d= 'd:H
O D. Hg: H1 = 2 = H3 = H4 = H5
Determine the F-statistic.
F=(Round to two decimal places as needed.)
Determine the critical value F
F,= (Round to two decimal places as needed.)
Since the F-statistic
falls
in the rejection region, do not reject Ha. The data do not provide sufficient evidence to conclude that the population means are not all the same.
Transcribed Image Text:Values of F.
dfn
dfd
3
4 5 6
7
8
0.10
3.03
2.64
2.44
2.31
2.22
2.15
2.10
2.06
2.03
0.05
17 0.025
4.45
3.59
3.20
2.96
2.81
2.70
2.61
2.55
2.49
6.04
4.62
4.01
3.66
3.44
3.28
3.16
3.06
2.98
0.01
8.40
6.11
5.18
4.67
4.34
4.10
3.93
3.79
3.68
0.005
10.38
7.35
6.16
5.50
5.07
4.78
4.56
4.39
4.25
0.10
3.01
2.62
2.42
2.29
2.20
2.13
2.08
2.04
2.00
0.05
4.41
3.55
3.16
2.93
2.77
2.66
2.58
2.51
2.46
18 0.025
5.98
4.56
3.95
3.61
3.38
3.22
3.10
3.01
2.93
0.01
8.29
6.01
5.09
4.58
4.25
4.01
3.84
3.71
3.60
0.005
10.22
7.21
6.03
5.37
4.96
4.66
4.44
4.28
4.14
0.10
2.99
2.61
2.40
2.27
2.18
2.11
2.06
2.02
1.98
0.05
4.38
3.52
3.13
2.90
2.74
2.63
2.54
2.48
2.42
19 0.025
5.92
4.51
3.90
3.56
3.33
3.17
3.05
2.96
2.88
4.50
5.27
0.01
8.18
5.93
5.01
5.92
4.17
3.94
3.77
3.63
3.52
0.005
10.07
7,09
4.85
4.56
4.34
4.18
4.04
2.16
0.10
0.05
2.97
2.59
2.38
2.25
2.09
2.04
2.00
1.96
4.35
3.49
3.10
2.87
2.71
2.60
2.51
2.45
2.39
20 0.025
5.87
4,46
3.86
3.51
3.29
3.13
3.01
2.91
2.84
0.01
8. 10
5.85
4.94
4.43
4.10
3.87
3.70
3.56
3.46
0.005
9.94
6.99
5.82
5.17
4.76
4.47
4.26
4.09
3.96
0.10
2.96
2.57
2.36
2.23
2.14
2.08
2.02
1.98
1.95
0.05
0.025
0.01
4.32
3.47
3.07
2.84
2.68
2.57
2.49
2.42
2.37
21
5.83
4.42
3.82
3.48
3.25
3.09
2.97
2.87
2.80
5.78
6.89
8.02
4.87
4.37
4.04
3.81
3.64
3.51
3.40
0.005
9.83
5.73
5.09
4.68
4.39
4.18
4.01
3.88
0.10
2.95
2.56
2.35
2.22
2.13
2.06
2.01
1.97
1.93
0.05
4.30
3.44
3.05
2.82
2.66
2.55
2.46
2.40
2.34
22
0.025
5.79
4.38
3.78
3.44
3.22
3.05
2.93
2.84
2.76
0.01
7.95
5.72
4.82
4.31
3.99
3.76
3.59
3.45
3.35
0.005
9.73
6.81
5.65
5.02
4.61
4.32
4.11
3.94
3.81
0.10
2.94
2.55
2.34
2.21
2.11
2.05
1.99
1.95
1.92
0.05
0.025
4.28
3.42
3.03
2.80
2.64
2.53
2.44
2.37
2.32
23
5.75
4.35
3.75
3.41
3.18
3.02
2.90
2.81
2.73
0.01
7.88
5.66
4.76
4.26
3.94
3.71
3.54
3.41
3,30
0.005
9.63
6.73
5.58
4.95
4.54
4.26
4.05
3.88
3.75
0.10
2.93
2.33
2.19
2.10
2.04
1.98
2.42
2.54
1.94
1.91
0.05
4.26
3.40
3.01
2.78
2.62
2.51
2.36
2.30
24 0.025
5.72
4.32
3.72
3.38
3.15
2.99
2.87
2.78
2.70
0.01
7.82
5.61
4.72
4.22
3.90
3.67
3.50
3.36
3.26
0.005
9.55
6.66
5.52
4.89
4.49
4.20
3.99
3.83
3.69
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