Question
In: Statistics and Probability
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 decimal places.)
z =
Solutions
orchestra answered 3 years agoRelated Solutions
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...
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.
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent
random samples of 400 observations are selected from each
population with the following results:
Sample 1
Sample 2
Sample Mean = 5275
Sample Mean = 5240
s1 = 150
s2 = 200
To test the null hypothesis H0: µ1 -
µ2 = 0 versus the alternative hypothesis Ha:
µ1 - µ2 ╪ 0 versus the alternative hypothesis
at the 0.05 level of significance, the most accurate statement
is:
In order to compare the means of two populations, independent random samples of 424 observations are...
In order to compare the means of two populations, independent
random samples of 424 observations are selected from each
population, with the following results:
Sample 1
Sample 2
x¯1=5169
x¯2=5417
s1=135
s2=130
Use a 96% confidence interval to estimate the difference between
the population means (μ1−μ2).
? ≤(μ1−μ2)≤ ?
Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative
hypothesis: Ha:(μ1−μ2)≠0. Using α=0.04, give the following:
the test statistic z =
postive critical z score =
negative critical z score =
The...
In order to compare the means of two populations, independent random samples of 395 observations are...
In order to compare the means of two populations,
independent random samples of 395
observations are selected from each population, with the results
found in the table to the right. Complete parts a through e
below.
Sample 1
Sample 2
x1=5,294
x2=5,261
s1 =153
s2=197
a. Use a 95% confidence interval to estimate the difference
between the population means
left parenthesis mu 1 minus mu 2 right parenthesisμ1−μ2.
Interpret the confidence interval.The confidence interval is
(Round to one decimal...
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare
the means of two populations, independent random samples of 400
observations are selected from each population with the following
results:
Sample 1
Sample 2
Sample Mean = 5275
Sample Mean = 5240
s1 = 150
s2 = 200
To test the null
hypothesis H0: µ1 - µ2 = 0 versus
the alternative hypothesis Ha: µ1 -
µ2 ╪ 0 versus the alternative hypothesis at the 0.05
level of significance, the most accurate statement is
The value...
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent
random samples of 400 observations are selected from each
population, with the results found in the table to the right.
Complete parts a through e.
Xbar 1: 5275 s1: 148
Xbar 2: 5240 s2: 210
a. use a 95% confidence interval to estimate the difference
between the population means (u1 - u2). Interpret the confidence
interval.
b. test the null hypothesis H0: (u1 - u2) = 0 versus the
alternative...
In order to compare the means of two populations, independent random samples of 400 observations are...
In order to compare the means of two populations, independent
random samples of 400 observations are selected from each
population, with the results found in the table to the right.
Complete parts a through e.
Sample 1
x1 = 5,265
s1 = 157
Sample 2
x2 = 5,232
s2 = 203
a. use a 95% confidence interval to estimate the difference
between the population means (u1 - u2). Interpret the confidence
interval.
b. test the null hypothesis H0: (u1 -...
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