Question

Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.

Treatments | ||||
---|---|---|---|---|

A | B | C | ||

Blocks | 1 | 10 | 9 | 8 |

2 | 12 | 6 | 5 | |

3 | 18 | 16 | 14 | |

4 | 20 | 18 | 18 | |

5 | 8 | 7 | 8 |

Use *α* = 0.05 to test for any significant
differences.

State the null and alternative hypotheses.

*H*_{0}: Not all the population means are
equal.

*H*_{a}: *μ*_{A} =
*μ*_{B} = *μ*_{C}

*H*_{0}: *μ*_{A} =
*μ*_{B} = *μ*_{C}

*H*_{a}: Not all the population means are
equal.

*H*_{0}: *μ*_{A} =
*μ*_{B} = *μ*_{C}

*H*_{a}: *μ*_{A} ≠
*μ*_{B} ≠ *μ*_{C}

*H*_{0}: *μ*_{A} ≠
*μ*_{B} ≠ *μ*_{C}

*H*_{a}: *μ*_{A} =
*μ*_{B} = *μ*_{C}

*H*_{0}: At least two of the population means are
equal.

*H*_{a}: At least two of the population means are
different.

Find the value of the test statistic. (Round your answer to two decimal places.)

t stat =

Find the *p*-value. (Round your answer to three decimal
places.)

*p*-value =

State your conclusion.

Do not reject *H*_{0}. There is sufficient
evidence to conclude that the means of the three treatments are not
equal.

Do not reject *H*_{0}. There is not sufficient
evidence to conclude that the means of the three treatments are not
equal.

Reject *H*_{0}. There is sufficient evidence to
conclude that the means of the three treatments are not equal.

Reject *H*_{0}. There is not sufficient evidence
to conclude that the means of the three treatments are not
equal.

Answer #1

You may need to use the appropriate technology to answer this
question.
Consider the experimental results for the following randomized
block design. Make the calculations necessary to set up the
analysis of variance table.
Treatments
A
B
C
Blocks
1
10
9
8
2
12
7
5
3
18
15
14
4
20
18
18
5
8
7
8
Use α = 0.05 to test for any significant
differences.
State the null and alternative hypotheses.
H0: μA ≠ μB ≠...

Develop the analysis of variance computations for the following
completely randomized design. At α = 0.05, is there a
significant difference between the treatment means?
Treatment
A
B
C
136
108
91
119
115
81
113
125
85
106
105
102
130
108
88
115
109
117
129
96
109
112
115
121
104
99
85
107
xj
120
107
100
sj2
110.29
119.56
186.22
State the null and alternative hypotheses.
H0: At least two of the population means are...

You may need to use the appropriate technology to answer this
question.
Develop the analysis of variance computations for the following
completely randomized design. At α = 0.05, is there a
significant difference between the treatment means?
Treatment
A
B
C
136
106
93
119
113
83
113
126
84
106
103
101
132
107
90
114
109
116
129
98
111
103
115
119
105
97
78
116
xj
119
106
101
sj2
149.14
155.33
187.56
State the null...

The following data were obtained for a randomized block design
involving five treatments and three blocks: SST = 510, SSTR = 370,
SSBL = 95. Set up the ANOVA table. (Round your value for F
to two decimal places, and your p-value to three decimal
places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
Blocks
Error
Total
Test for any significant differences. Use α = 0.05.
State the null and alternative hypotheses.
H0: Not...

In a completely randomized experimental design, three brands of
paper towels were tested for their ability to absorb water.
Equal-size towels were used, with four sections of towels tested
per brand. The absorbency rating data follow.
Brand
x
y
z
91
100
84
99
95
88
89
93
90
85
104
74
At a 0.05 level of significance, does there appear to be a
difference in the ability of the brands to absorb water?
State the null and alternative hypotheses....

In a completely randomized experimental design, three brands of
paper towels were tested for their ability to absorb water.
Equal-size towels were used, with four sections of towels tested
per brand. The absorbency rating data follow.
Brand
x
y
z
90
99
83
100
97
87
87
93
90
95
99
72
At a 0.05 level of significance, does there appear to be a
difference in the ability of the brands to absorb water?
State the null and alternative hypotheses....

Consider the experimental results for the following randomized
block design. Make the calculations necessary to set up the
analysis of variance table.
Treatments
A
B
C
Blocks
1
10
9
8
2
12
6
5
3
19
15
14
4
20
18
18
5
8
7
8
Use α = 0.05 to test for any significant differences.
a) Find the value of the test statistic. (Round your answer to
two decimal places.)
b) Find the p-value. (Round your answer to...

In a completely randomized experimental design, three brands of
paper towels were tested for their ability to absorb water.
Equal-size towels were used, with four sections of towels tested
per brand. The absorbency rating data follow.
Brand
x
y
z
92
98
84
101
95
87
88
93
88
87
102
77
At a 0.05 level of significance, does there appear to be a
difference in the ability of the brands to absorb water?
State the null and alternative hypotheses....

In an experiment designed to test the output levels of three
different treatments, the following results were obtained: SST =
320, SSTR = 130,
nT = 19.
Set up the ANOVA table. (Round your values for MSE and
F to two decimal places, and your p-value to four
decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
Error
Total
Test for any significant difference between the mean output
levels of the three treatments....

An experiment has been conducted for four treatments with seven
blocks. Complete the following analysis of variance table. (Round
your values for mean squares and F to two decimal places,
and your p-value to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
900
Blocks
200
Error
Total
1,600
Use α = 0.05 to test for any significant
differences.
State the null and alternative hypotheses.
H0: At least two of the population...

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