Question

consider the following results frmo two independent random samples taken from two populations. assume that the variances are NOT equal.

Population 1 | population 2 | |

sample size | 50 | 50 |

sample mean | 35 | 30 |

sample variance | 784 | 100 |

a) what is the "degrees of freedom" for these data?

b) what is the 95% confidence interval difference of the population means?

Answer #1

a) what is the "degrees of freedom" for these data?

Degree of freedom formula is n-1

N = sample size

Here in both population 1 and 2 sample size would be 1

so n=1

DF = 1-1 = 0

b) what is the 95% confidence interval difference of the population means?

square root of variance is called as standard deviation

95 % confidence interval for population 1 (27.24, 42.76)

95 % confidence interval for population 1 (26.36, 33.64)

sample variance = 784

SD = Sqrt(784) = 28

sample variance = 100

SD = sqrt(100) = 10

{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 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...

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 = 2.6
s2 = 4.6
(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...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.5
x2 = 20.1
s1 = 2.2
s2 = 4.6
(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...

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...

The following results are for independent random samples taken
from two populations.
Sample 1
Sample 2
n1 = 20
n2 = 30
x1 = 22.5
x2 = 20.1
s1 = 2.9
s2 = 4.6
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 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 _________

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....

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