Question
In: Statistics and Probability
Two random samples of 40 students were drawn independently from two populations of students. Assume their...
Two random samples of 40 students were drawn independently from
two populations of students. Assume their aptitude tests are
normally distributed (total points = 100). The following statistics
regarding their scores in an aptitude test were obtained: xbar1=
76, s1 = 8, xbar2 = 72, and s2 = 6.5.
Test at the 5% significance level to determine whether we can infer
that the two population means differ. (Note: You cannot necessarily
assume that the populations have the same variances).
Please Solve manually.
Solutions
orchestra answered 1 year agoRelated Solutions
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 37 and 30 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.05.
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. We can reject the null hypothesis that
(p1−p2)=0 and conclude that (p1−p2)≠0.
B. There is not sufficient evidence to reject the
null hypothesis that (p1−p2)=0.
Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...
Independent random samples, each containing 60 observations,
were selected from two populations. The samples from populations 1
and 2 produced 23 and 13 successes, respectively.
Test H0:(p1−p2)=0H0:(p1−p2)=0 against
Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03
(a) The test statistic is
(b) The P-value is
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different
populations. The first sample consists of 20 people with 9 having a
common attribute. The second sample consists of 2000 people with
1440 of them having the same common attribute. Compare the results
from a hypothesis test of p 1equalsp 2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p 1minusp 2.
Identify the test statistic.
Identify the critical value(s).
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different
populations. The first sample consists of 40 people with 19 having
a common attribute. The second sample consists of 2200 people with
1555 of them having the same common attribute. Compare the results
from a hypothesis test of p 1=p 2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p 1-p 2.
Calculate the test statistic z to two decimal places, the critical
values, and find...
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different
populations. The first sample consists of 30 people with 14 having
a common attribute. The second sample consists of 1900 people with
1370 of them having the same common attribute. Compare the results
from a hypothesis test of p 1equalsp 2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p 1minusp 2. What
are the null and alternative hypotheses for the hypothesis test?
A. Upper H...
Independent random samples of 36 and 46 observations are drawn from two quantitative populations, 1 and...
Independent random samples of 36 and 46 observations are drawn
from two quantitative populations, 1 and 2, respectively. The
sample data summary is shown here.
Sample 1
Sample 2
Sample Size
36
46
Sample Mean
1.29
1.32
Sample Variance
0.0590
0.0530
Do the data present sufficient evidence to indicate that the
mean for population 1 is smaller than the mean for population 2?
Use one of the two methods of testing presented in this section.
(Round your answer to two...
10. Two different simple random samples are drawn from two different populations. The first sample consists...
10. Two different simple random samples are drawn from two
different populations. The first sample consists of 40 people with
21 having a common attribute. The second sample consists of 1800
people with 1271 of them having the same common attribute. Compare
the results from a hypothesis test of p 1=p 2 (with a
0.05 significance level) and a 95% confidence interval estimate
of p 1-p 2.
What are the null and alternative hypotheses for the hypothesis
test?
A.H 0: p...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1...
The following observations are from two independent random
samples, drawn from normally distributed populations.
Sample 1
[66.73, 66.8, 75.06, 58.09, 54.64, 52.83]
Sample 2
[66.71, 68.17, 66.22, 66.8, 68.81]
Test the null hypothesis H0:σ21=σ22 against the alternative
hypothesis HA:σ21≠σ22.
a) Using the larger sample variance in the numerator, calculate
the F test statistic.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following
ranges:
p-value > 0.50
0.10 < p-value...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
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. Refer to
the accompanying data set. Use a 0.01 significance level to test
the claim that the sample of home voltages and the sample of
generator voltages are from populations with the same mean. If
there is a statistically significant difference, does that
difference have practical significance?
Day Home (volts) Generator
(volts)
1 123.7 ...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
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.
Refer to the accompanying data set. Use a 0.05 significance
level to test the claim that the sample of home voltages and the
sample of generator voltages are from populations with the same
mean. If there is a statistically significant difference, does
that difference have practical significance?
Day
Home( volts)
Generator( volts)
Day
Home (volts)...
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