Question
In: Statistics and Probability
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 |
|
Solutions
orchestra answered 3 years agoRelated Solutions
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...
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 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 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
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 −
μ2 ≠ 0 The following results are from independent samples taken
from two populations assuming the variances are unequal. Sample 1
Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.8 s2 = 8.2
(a) What is the value of the test statistic? 2.153 correct
(b) What is the degrees of freedom for the t distribution?
(Round your answer...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.9
s2 = 8.1
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t...
When we test H0: μ1 £ μ2, HA: μ1 > μ2 at α = .10, where...
When we test H0: μ1 £ μ2, HA: μ1 > μ2 at α = .10, where
Picture = 77.4, Picture = 72.2, s1 = 3.3, s2 = 2.1, n1 = 6, and n2
= 6, what is the estimated pooled variance?
Consider the hypothesis test with null hypothesis μ1=μ2 and alternative hypothesis μ1 > μ2.Suppose that sample...
Consider the hypothesis test with null hypothesis μ1=μ2 and
alternative hypothesis μ1 > μ2.Suppose that sample sizes n1 = 10
and n2 =10, that the sample means are 4.9 and 2.8 respectively, and
that the sample variances are 2 and 3 respectively. Assume that the
population variances are equal and that the data are drawn from
normal distributions.
a) Test the hypothesis that at α= 0.05 and provide a conclusion
statement
b) Provide an adequate confidence interval with 95% confidence...
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