Question

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} = 13.4 |
x _{2} = 11.9 |

σ _{1} = 2.3 |
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% confidence interval for the difference between
the two population means (to 2 decimals). Use
*z*-table. If your answer is negative, enter minus (-) sign.

( , )

Answer #1

Part a)

Part b)

Confidence interval :-

Lower Limit =

Lower Limit = 0.3681

Upper Limit =

Upper Limit = 2.6319

Confidence interval is ( 0.37 , 2.63 )

Part c)

Confidence interval :-

Lower Limit =

Lower Limit = 0.1512

Upper Limit =

Upper Limit = 2.8488

Confidence interval is ( 0.15 , 2.85 )

Consider the following results for independent random samples
taken from two populations.
Sample 1
Sample 2
n 1 = 20
n 2 = 40
x 1 = 22.1
x 2 = 20.9
s 1 = 2.4
s 2 = 4.7
What is the point estimate of the difference between the two
population means (to 1 decimal)?
What is the degrees of freedom for the t distribution
(round down your answer to nearest whole number)?
At 95% confidence, what is the...

Consider the following results for independent random samples
taken from two populations.
Sample 1
Sample 2
n 1 = 10
n 2 = 30
x 1 = 22.5
x 2 = 20.5
s 1 = 2.5
s 2 = 4.6
What is the point estimate of the difference between the two
population means (to 1 decimal)?
What is the degrees of freedom for the t distribution
(round down your answer to nearest whole number)?
At 95% confidence, what is the...

Consider the following results for independent random samples
taken from two populations.
Sample 1
Sample 2
n 1 = 10
n 2 = 30
x 1 = 22.5
x 2 = 20.5
s 1 = 2.5
s 2 = 4.6
What is the point estimate of the difference between the two
population means (to 1 decimal)?
What is the degrees of freedom for the t distribution
(round down your answer to nearest whole number)?
At 95% confidence, what is the...

{Exercise 10.01 Algorithmic}
Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n1 = 50
n2 = 30
x1 = 13.1
x2 = 11.2
σ1 = 2.1
σ2 = 3.2
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 independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2= 200
p1= 0.45
p2= 0.34
a. What is the point estimate of the difference
between the two population proportions (to 2 decimals)?
b. Develop a 90% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
to
c. Develop a 95% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table....

Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2= 300
p1= 0.43
p2= 0.36
a. What is the point estimate of the difference
between the two population proportions (to 2 decimals)?
b. Develop a 90% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
to
c. Develop a 95% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table....

Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 500
n2= 200
p1= 0.46
p2= 0.31
b. Develop a 90% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
______ to ________
c. Develop a 95% confidence interval for the
difference between the two population proportions (to 4 decimals).
Use z-table.
________ to _________

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 = 2.3
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)...

Consider the following results for independent samples taken
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sample 1
sample 2
n1=500
n2=200
p1= 0.42
p2= 0.34
a. What is the point estimate of the difference between the two
population proportions (to 2 decimals)?
b. Develop a confidence interval for the difference between the
two population proportions (to 4 decimals). (______to _______)
c. Develop a confidence interval for the difference between the
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The following results are for independent random samples taken
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Sample 1
Sample 2
n1 = 40
n2 = 50
x1 = 32.2
x2 = 30.1
s1 = 2.6
s2 = 4.3
(a) What is the point estimate of the difference between the two
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(b) What is the degrees of freedom for the t
distribution?
(c) At 95% confidence, what is the margin of error?
(d) What is the 95% confidence interval for the difference
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