Question
In: Math
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 two different observations are taken on the same units, the correct test statistic to use is _________.
z, None of the other choices is correct, t, F, chi-square
In testing the difference between the means of two normally distributed populations using independent random samples, the correct test statistic to use is the
F statistic, chi-square statistic, None of the other choices is correct, t statistic, z statistic.
In general, the shape of the F distribution is _________.
skewed right, skewed left, binomial, normal
Solutions
milcah answered 1 year agoRelated Solutions
We are testing the hypothesis of no difference between means of two normally distributed populations (eg...
We are testing the hypothesis of no difference between means of
two normally distributed populations (eg number of cracks in
bricks). Alternative hypothesis is inequality. Significance is .05.
Samples from these populations are X {3,5,6,9] and Y
[6,11,15,21]
Sample correlation coefficient p=.993 , V(x) = 6.25 and V(Y) =
40.25
What test is appropriate (explain)?
Calculate appropriate test statistic (two tailed) and the
P-Value using table?
State Conclusion
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
Test the claim about the difference between two population means μ1 and μ2 at the level...
Test the claim about the difference between two population means
μ1 and μ2 at the level of significance alpha α. Assume the samples
are random and independent, and the populations are normally
distributed.
Claim: 1μ1=2μ2 alphaα=0.01
Population statistics 1σ1=3.33.3, 2σ2=1.61.6
Sample statistics:x overbar 1x1=14, n1=29, 2x2=16, n2=28
Determine the standardized test statistic.
Determine P value
In Exercises a-c, test the claim about the difference between two population means μ1 and μ2...
In Exercises a-c, test the claim about the difference between
two population means μ1 and μ2 at the level of significance α.
Assume the samples are random and independent, and the populations
are normally distributed.
a. Claim: μ1 = μ2; α = 0.05. Assume
Sample statistics: , X1=228, s1 = 27, n1 = 20 and X2=207, s2 =
25, n2 = 13
b.Claim: μ1 ≤ μ2; α = 0.10. Assume
Sample statistics: , X1=664.5, s1 = 2.4, n1 = 40...
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...
Two independent random samples were selected from two normally distributed populations with means and variances (μ1,σ21)...
Two independent random samples were selected from two normally
distributed populations with means and variances (μ1,σ21) and
(μ2,σ22). The sample sizes, means and variances are shown in the
following table.
Sample 1 n1 = 13 x̄1 = 18.2 s21 = 75.3
Sample 2 n2 = 14 x̄2 = 17.1 s2= 61.3
(a). Test H0 : σ12 = σ2against Ha : σ12 ̸= σ2. Use α = 0.05.
Clearly show the 4 steps.
(b). TestH0 :μ1 −μ2 =0againstHa :μ1 −μ2 >0....
In testing H0: μ1 - μ2 = 0 versus Ha: μ1 - μ2 ≠ 0, the...
In testing H0: μ1 - μ2
= 0 versus Ha: μ1 - μ2 ≠
0, the computed value of the test statistic is z = 1.98.
The P-value for this two-tailed test is then:
a. .0478
b. .2381
c. .4761
d. .0239
e. .2619
Use the t-distribution to find a confidence interval for a difference in means μ1 − μ2...
Use the t-distribution to find a confidence interval for a
difference in means μ1 − μ2 given the relevant sample results.
Assume the results come from random samples from populations that
are approximately normally distributed. a) A 95% confidence
interval for μ1 − μ2 using the sample results x1 ̅= 70.2, s1 = 9.7,
n1 = 35 and x2 ̅= 67.5, s2 = 8.0, n2 = 30. b) A 99% confidence
interval for μ1 − μ2 using the sample results...
Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the...
Use the t-distribution to find a confidence interval for a
difference in means μ1-μ2 given the relevant sample results. Give
the best estimate for μ1-μ2, the margin of error, and the
confidence interval. Assume the results come from random samples
from populations that are approximately normally distributed. A 95%
confidence interval for μ1-μ2 using the sample results x̅1 = 75.5,
s1=11.5, n1=35 and x̅2=69.3, s2=7.0, n2=20 Enter the exact answer
for the best estimate and round your answers for the...
Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the...
Use the t-distribution to find a confidence interval
for a difference in means μ1-μ2 given the relevant sample results.
Give the best estimate for μ1-μ2, the margin of error, and the
confidence interval. Assume the results come from random samples
from populations that are approximately normally distributed.
A 95% confidence interval for μ1-μ2 using the sample results
x¯1=508, s1=120, n1=300 and x¯2=422, s2=94, n2=200
Enter the exact answer for the best estimate and round your answers
for the margin of...
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