Question
In: Statistics and Probability
Test the given claim about the means of two populations. Assume that two dependent samples have...
Test the given claim about the means of two populations. Assume
that two dependent samples have been randomly selected from
normally distributed populations. A test of abstract reasoning is
given to a random sample of students before and after they
completed a formal logic course. The results are given below. At
the 0.05 significance level, test the claim that the mean score is
not affected by the course. Include your null and alternative
hypotheses, the test statistic, P-value or critical value(s),
conclusion about the null hypothesis, and conclusion about the
claim in your answer.
| Before | 74 | 83 | 75 | 88 | 84 | 63 | 93 | 84 | 91 | 77 |
| After | 73 | 77 | 70 | 77 | 74 | 67 | 95 | 83 | 84 | 75 |
Solutions
orchestra answered 1 year agoRelated Solutions
Test the indicated claim about the means of two populations. Assume that the two samples are...
Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. 1) A researcher was
interested in comparing the GPAs of students at two different
colleges. Independent random samples of 8 students from college A
and 13 students from college B yielded the following GPAs: College
A College B 3.7 3.8 2.8 3.2 3.2 4.0 3.0 3.0 3.6 2.5 3.9 2.6 2.7 3.8
4.0 3.6 2.5...
Test the indicated claim about the means of two populations. Assume that the two samples are...
Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal. Use the traditional
method or P-value method as indicated.
14) A researcher wishes to determine whether the blood pressure
of vegetarians is, on average, lower than the blood pressure of
nonvegetarians. Independent simple random samples of 85 vegetarians
and 75 nonvegetarians yielded the following sample...
Test the indicated claim about the means of two populations. Assume that the two samples are...
Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal. Use the traditional
method or P-value method as indicated.
A researcher was interested in comparing the salaries of female
and male employees at a particular company. Independent simple
random samples of 8 female employees and 15 male employees yielded
the following weekly salaries (in dollars)....
Test the indicated claim about the means of two populations. Assume that the two samples are...
Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal. Use the traditional
method. 1) A researcher was interested in comparing the response
times of two different cab companies. Companies A and B were each
called at 50 randomly selected times. The calls to company A were
made independently of the calls to company B....
Test the indicated claim about the means of two populations. Assume that the two samples are...
Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal. Use the traditional
method. 1) A researcher was interested in comparing the response
times of two different cab companies. Companies A and B were each
called at 50 randomly selected times. The calls to company A were
made independently of the calls to company B....
Test the indicated claim about the means of two populations. Assume that the two samples are...
Test the indicated claim about the means of two populations.
Assume that the two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal. Use the traditional
method or P-value method as indicated. 9) A researcher was
interested in comparing the salaries of female and male employees
at a particular company. Independent simple random samples of 8
female employees and 15 male employees yielded the following weekly
salaries (in...
Test the claim about the means of two populations. Do not assume that the population standard...
Test the claim about the means of two populations. Do not assume
that the population standard deviations are equal. A researcher
wishes to determine whether people with high blood pressure can
reduce their blood pressure by following a particular diet. Use a
significance level of 0.01 to test the claim that the treatment
group is from a population with a smaller mean than the control
group.
Treatment
Group Control
Group
n1 =
101
n2 = 105
?̅1 =
120.5
?̅2...
Test the claim that μ1 = μ2. Two samples are random, independent, and come from populations...
Test the claim that μ1 = μ2. Two samples are random,
independent, and come from populations that are normally
distributed. The sample statistics are given below. Assume that σ
21 ≠ σ 22. Use α = 0.05.
n1 = 25 n2 = 30 x1 = 18 x2 = 16 s1 = 1.5 s2 = 1.9
Perform a hypothesis test (comparing means) on the two populations below. Assume equal means and normal...
Perform a hypothesis test (comparing means) on the two
populations below. Assume equal means and normal distribution.
Population A
Population B
42
65
41
22
50
51
25
17
78
24
35
57
19
67
22
26
45
88
45
85
Suppose you needed to test the claim that the two samples described below come from populations...
Suppose you needed to
test the claim that the two samples described below come from
populations with the same mean. Assume that the samples are
independent simple random samples.
Sample 1: n1=17, x¯¯¯1=24.7,
s1=3.05n1=17, x¯1=24.7, s1=3.05
Sample 2: n2=7, x¯¯¯2=22.5,
s2=4.62n2=7, x¯2=22.5, s2=4.62
Compute:
(a) the degrees of freedom:
(b) the test statistic (use Sample 1 −− Sample 2):
(c) he P-value:
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