Question

Suppose a hypertension trial is mounted and 18 participants are
randomly assigned to one of the comparison treatments. Each
participant takes the assigned medication and their systolic blood
pressure (SBP) is recorded after 6 months on the assigned
treatment. The data are presented in the table below. Compute the
totals for each column (**1pt**).

Standard Treatment Placebo New Treatment

124 134 114

111 143 117

133 148 121

125 142 124

128 150 122

115 160 128

Total: **736 877 726**

Is there a difference in mean SBP among treatments at a 5% significance level?

Indicate the correct competing hypotheses:

- H
_{0}: The means are not all equal.

H_{1}: The means are all
equal.

- H
_{0}: Treatment group and SBP are independent.

H_{1}: The null hypothesis is
false.

- H
_{0}: The means are all equal.

H_{1}: The means are not all
equal.

- H
_{0}: Treatment group and SBP are not independent.

H_{1}: The null hypothesis is
false.

Indicate the decision rule.

- Reject H
_{0}if F > 3.68 - Reject H
_{0}if F < 3.68 - Reject H
_{0}if F > 3.16 - Reject H
_{0}if F < 3.16 - Some other answer; indicate:

Indicate the mean of Group 1.

Indicate the mean of Group 2.

Indicate the mean of Group 3.

Indicate the overall mean.

Indicate the Between Groups Sums of Squares (SSB,).

Answer #1

Applying ANOVA on above data:

Groups |
Count |
Sum |
Average |
Variance |

Standard Treatment | 6 | 736 | 122.667 | 67.467 |

Placebo | 6 | 877 | 146.167 | 76.967 |

New Treatment | 6 | 726 | 121.000 | 24.800 |

Source of Variation |
SS |
df |
MS |
F |
P-value |

Between Groups | 2376.778 | 2 | 1188.39 | 21.07 | 0.0000 |

Within Groups | 846.167 | 15 | 56.41 | ||

Total | 3222.944 | 17 |

correct competing hypotheses:

H_{0}: The means are all equal.

H_{1}: The means are not all
equal

decision rule. Reject H_{0} if
F > 3.68

mean of Group 1 =122.667

mean of Group 2 =146.167

mean of Group 3=121.000

overall mean =129.944

Between Groups Sums of Squares =2376.778

Suppose a hypertension trial is mounted and 18 participants are
randomly assigned to one of the comparison treatments. Each
participant takes the assigned medication and their systolic blood
pressure (SBP) is recorded after 6 months on the assigned
treatment. The data are presented in the table below. Compute the
totals for each column (1pt).
Standard Treatment
Placebo
New Treatment
124
134
114
111
143
117
133
148
121
125
142
124
128
150
122
115
160
128
Totals
Is there...

Suppose a hypertension trial is mounted and 18 participants are
randomly assigned to one of the comparison treatments. Each
participant takes the assigned medication and their systolic blood
pressure (SBP) is recorded after 6 months on the assigned
treatment. The data are presented in the table below. Compute the
totals for each column (1pt).
Standard Treatment
Placebo
New Treatment
124
134
114
111
143
117
133
148
121
125
142
124
128
150
122
115
160
128
Totals
736
877...

Suppose a hypertension trial is mounted and 18 participants are
randomly assigned to one of the comparison treatments. Each
participant takes the assigned medication and their systolic blood
pressure (SBP) is recorded after 6 months on the assigned
treatment. Is there a difference in mean SBP among the three
treatment groups at the 5% significance level? The data are as
follows. (Use alpha level = 0.05.)
Standard Treatment
Placebo
New Treatment
124
134
114
111
143
117
133
148
121...

A hypertension trial
is mounted and 12 participants are randomly assigned to receive
either a new treatment or a placebo. Each participant takes the
assigned medication and their systolic blood pressure (SBP) is
recorded after 6 months on the assigned treatment. The data are as
follows.
Placebo
New Treatment
132
114
143
119
148
121
144
124
155
126
160
128
Is there a difference in mean SBP between treatments? Run the test
at a 5% level of significance. Give...

To test the effectiveness of a studying program,
participants are randomly assigned to either the control group or
the treatment group (N=10 for each). At the end of the trials, the
average test score increase in the control group is 3.5 points
(s=0.7) and the treatment group increased 1.9 (s=1.1). Test the
null hypothesis that there is no difference in test score
improvement between the treatment and control groups (alpha =
0.05).
For independent sample t-tests: mean values for each...

The following data summarize the results from an independent
measures study comparing three treatment conditions.
I
II
III
n = 6
n = 6
n =
6
M = 4
M = 5
M = 6
N = 18
T = 24
T = 30
T = 36
G = 90
SS = 30
SS = 35
SS = 40
ΣX2tot = 567
Use an ANOVA with α = .05 to determine whether there are
any significant differences among the...

Consider the data in the table collected from three independent
populations.
Sample 1 Sample 2 Sample 3
6 1 4
2 3 5
7 2 1
6
a) Calculate the total sum of squares (SST) and partition the
SST into its two components, the sum of squares between (SSB) and
the sum of squares within (SSW).
b) Use these values to construct a one-way ANOVA table.
c) Using α=0.10, what conclusions can be made concerning...

1a
The following data were obtained from an independent-measures
research study comparing three treatment conditions.
I
II
III
2
5
7
5
2
3
0
1
6
1
2
4
2
2
T =12
T =10
T =20
G = 42
SS =14
SS =9
SS =10
ΣX2= 182
Use an ANOVA with α = .05 to determine whether there are any
significant mean differences among the treatments.
The null hypothesis in words is
Group of answer choices
a. There...

Please Answer All Questions
QUESTION 17
Given the following statistics:
SP = 19
SS(x)= 13.5
SS(y) = 23.4
Mean of X = 4.5
Mean of Y = 7.5
Compute a regression equation using the data above. What is this
equation?
Ŷ = 1.41X + 1.17
Ŷ = 1.15X - 2.88
Ŷ = 0.5X + 2.5
Ŷ = 0.5X + 1
3 points
QUESTION 18
Using the equation you just created in #17, assume that the X
variable was number...

Consider the One-Way ANOVA table (some values are intentionally
left blank) for the amount of food (kidney, shrimp, chicken liver,
salmon and beef) consumed by 50 randomly assigned cats (10 per
group) in a 10-minute time interval.
H0: All the 5 population means are equal
H1: At least one population mean is
different.
Population: 1 = Kidney, 2 = Shrimp, 3 = Chicken Liver, 4 =
Salmon, 5 = Beef.
ANOVA
Source of Variation
SS
df
MS
F
P-value
F...

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