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...

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

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
At the = .05 level of significance, can we reject
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Compute the values below (to 1 decimal, if necessary).
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In an experiment designed to test the output levels of three
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Use A=.05.
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean Square
(to 2 decimals)
(to 2 decimals)
-value
(to 4 decimals)
Treatments
150
Error
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In a completely randomized design, eight experimental units were
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Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
360
Error
Total
470

In a completely
randomized design, seven experimental units were used for each of
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(to 2 decimals, if necessary). Round p-value to four
decimal places. If your answer is zero enter "0".
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
300
Error
Total
460
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In a completely randomized experimental design, 6 experimental
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Sum of Squares
Degrees of Freedom
Mean Square
Between Treatments
2434220
3
811406.7
Error (Within Treatments)
3883910
20
194195.5
Total
6318130
23
1. What is the null and alternative
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2. Calculate the F test statistic. (2
Points)
3. What is the rejection rule for the F test at
the 0.05...

Part B
In a completely randomized design, 7 experimental units were
used for each of
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Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Treatment
Error
432076.5
Total
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31
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21
31
30
33
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Sum of Squares
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p-value
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Source of
Variation
Sum of
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Degrees of
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Total
Use a .05...

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