Just answer question number 1Answers:1. 2 vs. 3, q = 6.74, Reject H0, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q = 2.04, Do not reject H0, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q = 5.62, Reject H0, the mean scores of groups 2 and 1 differ significantly. Psychology 2211 Assignment 5.1. Subjects were randomly assigned to one of four groups in an exploratory study of the effect of different drugs onmotion sickness. The data provided below were subjected to an analysis of variance, resulting in FOBT = 10.0.n₁ = 8n₂=7n3 = 10n4=7x-bar₁ = 12.0 x-bar₂ = 6.5 x-bar3 = 13.1 x-bar4 = 8.5First, determine whether the ANOVA is significant (with a ≤.01), and, if so, determine whether there is asignificant difference between the mean scores of groups 2 and 3, 2 and 4, and 2 and 1, using the post hocprocedure that allows you to use a ≤.01 for each comparison.2. Subjects were randomly assigned to one of four treatment conditions. After treatment, the following data wereobtained:n₁ = 8n₂ = 10n3=7n₁=9x-bar₁ = 6.5 x-bar2 = 5.5 x-bar3 = 8.75 x-bar4 = 12.0In addition, the standard deviation of the scores of all 34 subjects was 3.50.a) Before the experiment, the researcher predicted that group 3 would obtain a significantly higher mean thangroup 2, and that there would be no significant difference between the means of groups 1 and 2. Perform theappropriate test(s) to determine whether these predictions were borne out. (a ≤.05)b) After the data had been collected, the researcher wished to determine whether there was a significant differencebetween x-bar4 and x-bar₁, and between x-bar3 and x-bar₁. Using a ≤.05, perform the necessary test(s) and, whencomparing these means, use whichever valid procedure gives you the smallest critical value.3. A researcher begins with a sample of 60 subjects and randomly assigns 12 to each of 5 treatment conditions. Basedon his reading of other studies in the area, the researcher predicts that group 3 will obtain a significantly differentmean from group 1, and that group 4 will obtain a significantly higher mean than group 1.a) Given the following data (note that some subjects have dropped out) are the researcher's predictions supportedwith a ≤.01?Group 1 Group 2 Group 3 Group 48101012X-bar; 43.5S₁5.6b) After collecting and inspecting the data, the researcher decides to perform three more tests. Specifically, hewishes to see whether X-bar3 is significantly different from X-bar2; whether X-bars is significantly different fromX-bar2; and whether X-bar4 is significantly greater than X-bar2. Perform whichever statistical analyses arenecessary and, if appropriate, use the procedure that allows each comparison to be tested with a ≤.01.n₁45.26.361.85.477.3Group 51266.78.77.5Answers1. 2 vs. 3, q= 6.74, Reject Ho, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q=2.04, Do not rejectHo, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q= 5.62,Reject Ho, the mean scores of groups 2 and 1 differ significantly.2. a) 3 vs. 2, t= 2.720, Reject Ho, group 3 obtained a significantly higher mean score than group 2; 1 vs. 2, t=.870,Do not reject Ho, there is no evidence for a significant difference between the mean scores of groups 1 and 2.b) F = 12.92, Reject Ho, at least 2 means differ significantly; 4 vs. 1, q = 6.56, Reject Ho, the mean scores ofgroups 4 and 1 differ significantly; 3 vs. 1, q=2.68, Do not reject Ho, there is no evidence for a significantdifference between groups 3 and 1.3. a) 3 vs. 1, t= 5.53, Reject Ho, prediction is supported: group 3 obtained a significantly higher mean score thangroup 1; 4 vs. 1, t= 10.608, Reject Ho, prediction is supported: group 4 obtained a significantly higher mean scorethan group 1; b) F= 43.696, Reject Ho, at least 2 means differ significantly; 3 vs. 2, q= 7.583, Reject Ho, themean scores of groups 3 and 2 differ significantly; 5 vs. 2, q=9.822, Reject Ho, the mean scores of groups 5 and 2differ significantly; 4 vs. 2, no test valid because post hoc tests cannot be 1-tailed.

To determine whether the ANOVA is significant and to conduct post hoc comparisons with a…

Answered: 1. Subjects were randomly assigned to…

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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Just answer question number 1 Answers: 1. 2 vs. 3, q = 6.74, Reject H0, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q = 2.04, Do not reject H0, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q = 5.62, Reject H0, the mean scores of groups 2 and 1 differ significantly.

Psychology 2211 Assignment 5.
1. Subjects were randomly assigned to one of four groups in an exploratory study of the effect of different drugs on
motion sickness. The data provided below were subjected to an analysis of variance, resulting in FOBT = 10.0.
n₁ = 8
n₂=7
n3 = 10
n4=7
x-bar₁ = 12.0 x-bar₂ = 6.5 x-bar3 = 13.1 x-bar4 = 8.5
First, determine whether the ANOVA is significant (with a ≤.01), and, if so, determine whether there is a
significant difference between the mean scores of groups 2 and 3, 2 and 4, and 2 and 1, using the post hoc
procedure that allows you to use a ≤.01 for each comparison.
2. Subjects were randomly assigned to one of four treatment conditions. After treatment, the following data were
obtained:
n₁ = 8
n₂ = 10
n3=7
n₁=9
x-bar₁ = 6.5 x-bar2 = 5.5 x-bar3 = 8.75 x-bar4 = 12.0
In addition, the standard deviation of the scores of all 34 subjects was 3.50.
a) Before the experiment, the researcher predicted that group 3 would obtain a significantly higher mean than
group 2, and that there would be no significant difference between the means of groups 1 and 2. Perform the
appropriate test(s) to determine whether these predictions were borne out. (a ≤.05)
b) After the data had been collected, the researcher wished to determine whether there was a significant difference
between x-bar4 and x-bar₁, and between x-bar3 and x-bar₁. Using a ≤.05, perform the necessary test(s) and, when
comparing these means, use whichever valid procedure gives you the smallest critical value.
3. A researcher begins with a sample of 60 subjects and randomly assigns 12 to each of 5 treatment conditions. Based
on his reading of other studies in the area, the researcher predicts that group 3 will obtain a significantly different
mean from group 1, and that group 4 will obtain a significantly higher mean than group 1.
a) Given the following data (note that some subjects have dropped out) are the researcher's predictions supported
with a ≤.01?
Group 1 Group 2 Group 3 Group 4
8
10
10
12
X-bar; 43.5
S₁
5.6
b) After collecting and inspecting the data, the researcher decides to perform three more tests. Specifically, he
wishes to see whether X-bar3 is significantly different from X-bar2; whether X-bars is significantly different from
X-bar2; and whether X-bar4 is significantly greater than X-bar2. Perform whichever statistical analyses are
necessary and, if appropriate, use the procedure that allows each comparison to be tested with a ≤.01.
n₁
45.2
6.3
61.8
5.4
77.3
Group 5
12
66.7
8.7
7.5
Answers
1. 2 vs. 3, q= 6.74, Reject Ho, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q=2.04, Do not reject
Ho, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q= 5.62,
Reject Ho, the mean scores of groups 2 and 1 differ significantly.
2. a) 3 vs. 2, t= 2.720, Reject Ho, group 3 obtained a significantly higher mean score than group 2; 1 vs. 2, t=.870,
Do not reject Ho, there is no evidence for a significant difference between the mean scores of groups 1 and 2.
b) F = 12.92, Reject Ho, at least 2 means differ significantly; 4 vs. 1, q = 6.56, Reject Ho, the mean scores of
groups 4 and 1 differ significantly; 3 vs. 1, q=2.68, Do not reject Ho, there is no evidence for a significant
difference between groups 3 and 1.
3. a) 3 vs. 1, t= 5.53, Reject Ho, prediction is supported: group 3 obtained a significantly higher mean score than
group 1; 4 vs. 1, t= 10.608, Reject Ho, prediction is supported: group 4 obtained a significantly higher mean score
than group 1; b) F= 43.696, Reject Ho, at least 2 means differ significantly; 3 vs. 2, q= 7.583, Reject Ho, the
mean scores of groups 3 and 2 differ significantly; 5 vs. 2, q=9.822, Reject Ho, the mean scores of groups 5 and 2
differ significantly; 4 vs. 2, no test valid because post hoc tests cannot be 1-tailed.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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