Question

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0".

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
p-value |

Treatments | 1,200 | ||||

Error | |||||

Total | 1,800 |

At a .05 level of significance, is there a significant difference between the treatments?

The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 9

What is your conclusion?

Answer #1

**SOLUTION:**

From given data,

**12 experimental
units were used for the first treatment, 15 for the second
treatment, and 20 for the third treatment.**

**Error:**

Sum of square for error = 1800 - 1200 =600

n= 12+15+20 = 47

Total degree of freedom=n-1=47-1= 46

treatments df = number of elements -1 = 3-1 =2

Error of df = 46-2 = 44

Mean square treatment = 1200 / 2 = 600

Mean square Error = 600 / 44 = 13.636

F = 600 / 13.636 = 44.001

numerator degree of freedom = 2

denominator degree of freedom =44

the **p- value** is 0.0000

**Decision:**

since p value is less than 0.05 significance level

we reject null hypothesis

**Conclusion:**

There is significant difference between treatments.

In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). If the answer is zero enter
"0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
1400
Error
Total
1800
At a .05 level of significance, is there a significant
difference between the treatments?
The p-value is - Select...

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treatment, 15 for the second treatment, and 20 for the third
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places. If your answer is zero enter "0".
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
1,300
Error
Total
1,800
At a .05 level of
significance, is there a significant difference between the...

In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
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In a completely randomized design, 12 experimental units were
used for the first treatment, 15 for the second treatment, and 20
for the third treatment. Complete the following analysis of
variance (to 2 decimals, if necessary). If the answer is zero enter
"0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
1100
Error
700
44
xx
xxxx
Total
1800
xx
xxx

Consider the
experimental results for the following randomized block design.
Make the calculations necessary to set up the analysis of variance
table.
Treatment
A
B
C
1
10
10
9
2
13
6
6
Blocks
3
18
16
15
4
21
18
19
5
8
8
9
Use = .05 to test for
any significant differences. Show entries to 2 decimals, if
necessary. If your answer is zero enter "0".
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean...

The following data are from a completely randomized design.
Treatment
Treatment
Treatment
A
B
C
32
46
33
30
45
36
30
46
35
26
48
36
32
50
40
Sample mean
30
47
36
Sample variance
6
4
6.5
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Compute the values below (to 1 decimal, if necessary).
Sum of Squares, Treatment
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Source
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Sum
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Degrees
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Mean Square
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Sum
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Degrees
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Mean
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F
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360
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Total
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Mean Square
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Total
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h 0: SelectAll five treatment means are equa or lNot all
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