Question
In: Statistics and Probability
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 at the α=0.05 level of significance for the given sample data. Find the test statistic for this hypothesis test. and P- Value (b) Construct a 95% confidence interval about μ1−μ2. |
population 1 population 2
n 29 22
x 49.1 43.8
s 4.4 10.5
Solutions
Expert Solution
Solution:
1.
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2)
orchestra answered 1 year agoRelated Solutions
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
Assume that both populations are normally distributed. a) Test whether μ1 > μ2 at the alpha...
Assume that both populations are normally distributed. a) Test
whether μ1 > μ2 at the alpha equals 0.05
level of significance for the given sample data. b) Construct a
95% confidence interval about μ1 - μ2. C)
Determine the test statistic
Sample 1
Sample 2
n
22
14
x overbar
50.9
42.6
s
7.3
11.7
Assume that both populations are normally distributed. (a) Test whether mu 1 not equals mu 2μ1≠μ2...
Assume that both populations are normally distributed.
(a) Test whether
mu 1 not equals mu 2μ1≠μ2
at the
alpha equals 0.01α=0.01
level of significance for the given sample data.(b) Construct a
99%
confidence interval about
mu 1 minus mu 2μ1−μ2.
Population 1
Population 2
n
13
13
x overbarx
13.9
11.2
s
3.1
2.8
Assume that both populations are normally distributed. (a) Test whether mu 1 not equals mu 2μ1≠μ2...
Assume that both populations are normally distributed.
(a) Test whether
mu 1 not equals mu 2μ1≠μ2
at the
alpha equals 0.01α=0.01
level of significance for the given sample data.
Population 1
Population 2
n
17
17
x bar
14.614.6
19.819.8
s
4.24.2
3.73.7
Determine the P-value for this hypothesis test.
P=?(Round to three decimal places as needed.)
In testing the difference between the means of two normally distributed populations, if μ1 = μ2...
In testing the difference between the means of two normally
distributed populations, if μ1 =
μ2 = 50, n1 = 9, and
n2 = 13, the degrees of freedom for the
t statistic equals ___________.
19,20,21,22
When comparing two independent population means by using samples
selected from two independent, normally distributed populations
with equal variances, the correct test statistic to use is
______.
z,F,t, t^2
When testing a hypothesis about the mean of a population of
paired differences in which...
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...
You wish to test the following claim (H1) at a significance level of α=0.002. Ho:μ1=μ2 H1:μ1≠μ2...
You wish to test the following claim (H1) at a significance
level of α=0.002.
Ho:μ1=μ2
H1:μ1≠μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=11 with a mean of M1=63.8 and
a standard deviation of SD1=12.9 from the first population. You
obtain a sample of size n2=18 with...
You wish to test the following claim (H1H1) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 H1:μ1≠μ2H1:μ1≠μ2...
You wish to test the following claim (H1H1) at a significance
level of α=0.001α=0.001.
Ho:μ1=μ2Ho:μ1=μ2
H1:μ1≠μ2H1:μ1≠μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=24n1=24 with a mean of
M1=85.8M1=85.8 and a standard deviation of SD1=19.3SD1=19.3 from
the first population. You obtain a sample of size n2=17n2=17 with...
You wish to test the following claim (H1H1) at a significance level of α=0.02α=0.02. Ho:μ1=μ2Ho:μ1=μ2 H1:μ1>μ2H1:μ1>μ2...
You wish to test the following claim (H1H1) at a significance
level of α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
H1:μ1>μ2H1:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
97.7
78.7
14.7
91.3
90.1
39.8
56.9
47.2
67.5
62.3
64.9
26.7
79.4
52.9
63.3
69.1
20.4
67.5
54.1
67
46.4
52.3
44.2
65.9
95.8
56.9
78.7
85.9
56.4
59.1
53.5
72.5
70.8
61.2
64.9
70.2
68.6
44.2
41.6
77.4
81.6
14.7
55.2
71.4
56.4
50.5
52.9
41.6
24
49.9
53.5
74.9...
You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 H1:μ1≠μ2H1:μ1≠μ2...
You wish to test the following claim (H1H1) at a significance
level of α=0.002α=0.002.
Ho:μ1=μ2Ho:μ1=μ2
H1:μ1≠μ2H1:μ1≠μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=19n1=19 with a mean of
M1=77.6M1=77.6 and a standard deviation of SD1=20.7SD1=20.7 from
the first population. You obtain a sample of size n2=20n2=20 with...
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