Question
In: Math
3. Independent random samples of n1 = 16 and n2 = 13 observations were selected from...
3. Independent random samples of n1 = 16 and n2 = 13 observations were selected from two normal populations with equal variances. The sample means and variances are shown below: Population 1 Population 2 Sample size 16 13 Sample mean 34.6 32.2 Sample variance 4.0 4.84 a) Suppose you wish to test if there is difference between the population means with significance level of α = 0.05. State the null and alternative hypotheses that you use for the test. b) Find the value of the test statistic c) Find the value of the critical value d) Conduct the test and state your conclusions.
Solutions
milcah answered 3 months agoRelated Solutions
Independent random samples of n1 = 700 and n2 = 520 observations were selected from binomial...
Independent random samples of
n1 = 700
and
n2 = 520
observations were selected from binomial populations 1 and 2,
and
x1 = 335
and
x2 = 378
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
Independent random samples of n1 = 800 and n2 = 670 observations were selected from binomial...
Independent random samples of
n1 = 800
and
n2 = 670
observations were selected from binomial populations 1 and 2,
and
x1 = 336
and
x2 = 378
successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
to
(b) What assumptions must you make for the confidence interval to
be valid? (Select all that apply.)nq̂ > 5 for samples
from both populationssymmetrical...
Independent random samples of n1 = 800 and n2 = 610 observations were selected from binomial populations...
Independent random samples of n1 = 800 and
n2 = 610 observations were selected from binomial
populations 1 and 2, and x1 = 336 and x2 =
378 successes were observed.
(a) Find a 90% confidence interval for the difference
(p1 − p2) in the two
population proportions. (Round your answers to three decimal
places.)
_______ to _______/
(b) What assumptions must you make for the confidence interval
to be valid? (Select all that apply.)
independent random samples
symmetrical distributions for...
1. Independent random samples of n1 = 200 and n2 = 200 observations were randomly selected...
1. Independent random samples of n1 = 200
and n2 = 200 observations were randomly
selected from binomial populations 1 and 2, respectively. Sample 1
had 116 successes, and sample 2 had 122 successes.
a) Calculate the standard error of the difference in the two
sample proportions, (p̂1 − p̂2). Make sure to
use the pooled estimate for the common value of p. (Round
your answer to four decimal places.)
b) Critical value approach: Find the rejection region
when α...
Independent random samples of sizes n1 = 307 and n2 = 309 were taken from two...
Independent random samples of sizes n1 = 307
and n2 = 309 were taken from two populations.
In the first sample, 92 of the individuals met a certain criteria
whereas in the second sample, 108 of the individuals met the same
criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1<p2.
a) Calculate the z test statistic, testing
the null hypothesis that the population proportions are equal.
Round your response to at least 3 decimal places.
b) What is the...
Q2) Independent random samples of sizes n1 = 208 and n2 = 209 were taken from...
Q2) Independent random samples of sizes n1 =
208 and n2 = 209 were taken from two
populations. In the first sample, 172 of the individuals met a
certain criteria whereas in the second sample, 181 of the
individuals met the same criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1>p2.
a) Calculate the z test statistic, testing the null
hypothesis that the population proportions are equal. Round
your response to at least 2 decimal places.
b) What is...
Independent random samples of sizes n1 = 202 and n2 = 210 were taken from two...
Independent random samples of sizes n1 = 202
and n2 = 210 were taken from two populations.
In the first sample, 170 of the individuals met a certain criteria
whereas in the second sample, 178 of the individuals met the same
criteria.
Test the null hypothesis H0:p1=p2versus the alternative
hypothesis HA:p1>p2.
a) Calculate the z test statistic, testing
the null hypothesis that the population proportions are equal.
Round your response to at least 3 decimal places.
b) What is the...
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
1 point) Independent random samples, each containing 60 observations, were selected from two populations. The samples...
1 point) Independent random samples, each containing 60
observations, were selected from two populations. The samples from
populations 1 and 2 produced 33 and 22 successes, respectively.
Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.08.
(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 accept that (p1−p2)≠0. B. There is not
sufficient evidence to reject the null hypothesis that
(p1−p2)=0.
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