Question
In: Statistics and Probability
Test the given claim using the α=0.05 significance level and assuming that the populations are normally...
Test the given claim using the α=0.05 significance level and
assuming that the populations are normally distributed and that the
population variances are equal.
Claim: The treatment population and the placebo population have the
same means.
Treatment group: n=9, x¯=110, s=5.9.
Placebo group: n=7, x¯=116,s=5.7.
The test statistic is =___________
The positive critical value is =__________
The negative critical value is =________
Is there sufficient evidence to warrant the rejection of the claim
that the treatment and placebo populations have the same
mean?
A. Yes
B. No
Solutions
orchestra answered 1 year agoRelated Solutions
You wish to test the following claim (Ha) at a significance level of α = 0.05....
You wish to test the following claim (Ha) at a significance
level of α = 0.05.
Ho: μ = 58.9
Ha: μ < 58.9
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size n = 34
with mean M = 54.2 and a standard deviation of SD = 8.3.
1. What is the test statistic for this sample? (Report
answer accurate to THREE decimal places.)
test statistic =...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=15n=15 subjects. The average
difference (post - pre) is ¯d=−1.5d¯=-1.5 with a standard deviation
of the...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
pre-test
post-test
52
69
51.6
34.7
48.3
55.4
31.6
46.8
46.4
42.6
31.6
27.1
49.3
49.3...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05. For the context of this problem, one data
set represents a pre-test and the other data set represents a
post-test.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=137n=137 subjects. The average
difference (post - pre) is ¯d=2.2d¯=2.2 with a standard deviation
of the differences of...
Assume that both populations are normally distributed. a) Test whether 2μ1≠μ2 at the α=0.05 level of...
Assume that both populations are normally distributed.
a) Test whether 2μ1≠μ2 at the α=0.05 level of significance for
the given sample data.
b) Construct a 95% confidence interval about 2μ1−μ2.
Sample 1
Sample 2
n
19
19
x overbarx
11.7
14.4
s
3.4
3.9
1) You wish to test the following claim (H1) at a significance level of α=0.05 Ho:p1=p2...
1) You wish to test the following claim (H1) at a significance
level of α=0.05
Ho:p1=p2
H1:p1<p2
You obtain 23 successes in a sample of size n1=268 from the first
population. You obtain 79 successes in a sample of size n2=465 from
the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the critical value for this test? (Report answer accurate...
1. You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:p1=p2...
1. You wish to test the following claim (Ha) at a significance
level of α=0.05.
Ho:p1=p2
Ha:p1>p2
You obtain 83% successes in a sample of size n1=305 from the first
population. You obtain 78.7% successes in a sample of size n2=315
from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the p-value for this sample? (Report answer accurate to...
1, Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.05 level...
1, Assume that both populations are normally distributed.
(a) Test whether μ1≠μ2 at the α=0.05 level of significance for
the given sample data. Detemine the P-value for this hypothesis
test.
(Round to three decimal places as needed.)
(b) Construct a 95% confidence interval about μ1−μ2.
Population 1
Population 2
n
14
14
x
11.2
8.4
s
2.8
3.2
2, Use the given statistics to complete parts (a) and (b).
Assume that the populations are normally distributed.
(a) Test whether μ1>μ2...
You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:p1=p2 Ha:p1≠p2...
You wish to test the following claim (Ha) at a significance
level of α=0.05.
Ho:p1=p2
Ha:p1≠p2
You obtain 90.1% successes in a sample of size n1=756 from the
first population. You obtain 92.6% successes in a sample of size
n2=691 from the second population. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for this sample? (Report answer accurate
to...
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.05
Ho:μ1=μ2
Ha:μ1>μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=23n1=23 with a mean of ¯x1=73.1x and
a standard deviation of s1=15.5 from the first population. You
obtain a sample of size n2=19 with a mean...
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