Question
In: Statistics and Probability
3. The following results come from two independent random samples taken from two populations. Sample Size...
3.
The following results come from two independent random samples
taken from two populations.
|
Sample Size |
Sample Mean |
Population Standard Deviation |
|
|
Sample 1 |
n1=52 |
x1=15.4 |
σ1=3.1 |
|
Sample 2 |
n2=64 |
x2=17.3 |
σ2=4.2 |
- Provide a 95% confidence interval for the difference between two population means.
- Using the critical value approach, test whether the population means differ at the 5% significance level.
- Using the p-value approach, test whether the population means differ at the 5% significance level.
Solutions
orchestra answered 2 years agoRelated Solutions
The following results come from two independent random samples taken of two populations. Sample 1 Sample...
The following results come from two independent random samples
taken of two populations.
Sample 1
Sample 2
n1 = 60
n2 = 35
x1 = 13.6
x2 = 11.6
σ1 = 2.5
σ2 = 3
(a)
What is the point estimate of the difference between the two
population means? (Use
x1 − x2.)
(b)
Provide a 90% confidence interval for the difference between the
two population means. (Use
x1 − x2.
Round your answers to two decimal places.)
to
(c)...
he following results come from two independent random samples taken of two populations. Sample 1 n1...
he following results come from two independent random samples
taken of two populations.
Sample 1 n1 = 60, x1 = 13.6, σ1 = 2.4
Sample 2 n2 = 25, x2 = 11.6,σ2 = 3
(a) What is the point estimate of the difference between the two
population means? (Use x1 − x2.)
(b) Provide a 90% confidence interval for the difference between
the two population means. (Use x1 − x2. Round your answers to two
decimal places.)
(BLANK) to (BLANK)...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2...
The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.8
x2 = 20.1
s1 = 2.3
s2 = 4.8
(a) What is the point estimate of the difference between the two
population means? (Use x1 − x2.)
(b) What is the degrees of freedom for the t
distribution? (Round your answer down to the nearest integer.)
(c) At 95% confidence, what is the margin of...
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample...
Consider the following results for two
independent random samples taken from two populations.
Sample 1
Sample 2
n1 = 50
n2 = 30
x1 = 13.4
x2 = 11.7
σ1 = 2.3
σ2 = 3
What is the point estimate of the difference between the two
population means?
Provide a 90% confidence interval for the difference between
the two population means (to 2 decimals).
( , )
Provide a 95% confidence interval for the difference between
the two population means...
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample...
Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n 1 = 50
n 2 = 35
x 1 = 13.1
x 2 = 11.5
σ 1 = 2.4
σ 2 = 3.2
What is the point estimate of the difference between the two
population means? (to 1 decimal)
Provide a 90% confidence interval for the difference between
the two population means (to 2 decimals). Use
z-table.
( , )
Provide a 95%...
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample...
Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n 1 = 50
n 2 = 35
x 1 = 13.6
x 2 = 11.1
σ 1 = 2.4
σ 2 = 3.4
What is the point estimate of the difference between the two
population means? (to 1 decimal)
Provide a 90% confidence interval for the difference between
the two population means (to 2 decimals).
Provide a 95% confidence interval for the...
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample...
Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n 1 = 40
n 2 = 30
x 1 = 13.1
x 2 = 11.1
σ 1 = 2.3
σ 2 = 3.4
What is the point estimate of the difference between the two
population means? (to 1 decimal)
Provide a 90% confidence interval for the difference between
the two population means (to 2 decimals). Use
z-table.
( , )
Provide a 95%...
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample...
Consider the following results for two independent random
samples taken from two populations. Sample 1 Sample 2 n 1 = 50 n 2
= 30 x 1 = 13.8 x 2 = 11.5 σ 1 = 2.4 σ 2 = 3.4 What is the point
estimate of the difference between the two population means? (to 1
decimal) Provide a 90% confidence interval for the difference
between the two population means (to 2 decimals). Use z-table. ( ,
) Provide a...
Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2...
Consider the following results for independent random samples
taken from two populations.
Sample 1
Sample 2
n1= 10
n2 = 40
x1= 22.3
x2= 20.3
s1= 2.5
s2 = 4.1
a. What is the point estimate of the difference
between the two population means (to 1 decimal)?
b. What is the degrees of freedom for
the t distribution (round
down)?
c. At 95% confidence, what is the margin of
error (to 1 decimal)?
d. What is the 95% confidence...
Consider the following results for two independent random samples taken from two populations. Sample 1: n1...
Consider the following results for two independent random
samples taken from two populations.
Sample 1:
n1 = 40
x̅1 = 13.9
σ1 = 2.3
Sample 2:
n2 = 30
x̅2 = 11.1
σ2 = 3.4
What is the point estimate of the difference between the two
population means? (to 1 decimal)
Provide a 90% confidence interval for the difference between the
two population means (to 2 decimals).
Provide a 95% confidence interval for the difference between the
two population means...
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