Question

The following results are for independent random samples taken from two populations.

Sample 1 | Sample 2 |
---|---|

n |
n |

x |
x |

s |
s |

(a)

What is the point estimate of the difference between the two population means? (Use

x_{1} − x_{2}.

)

(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 error? (Round your answer to one decimal place.)

(d)

What is the 95% confidence interval for the difference between the two population means? (Use

x_{1} − x_{2}.

Round your answers to one decimal place.)

to

Answer #1

(A) The point estimate of is 22.8-20.1=2.7

(B) For unequal variace DF :
47

(C) 2.0522

Standard error of difference is

criticat value of t

(D) 95% Confidence Interval for the
Difference ( 0.644 , 4.756 )

Confidence Interval of
is =
2.7 ± (2.01 * 1.0214) = 2.7 ± 2.0522

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...

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 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...

Independent random samples were selected from two quantitative
populations, with sample sizes, means, and standard deviations
given below. n1 = n2 = 80, x1 = 125.3, x2 = 123.6, s1 = 5.7, s2 =
6.7
Construct a 95% confidence interval for the difference in the
population means (μ1 − μ2). (Round your answers to two decimal
places.)
Find a point estimate for the difference in the population
means.
Calculate the margin of error. (Round your answer to two decimal
places.)

Confidence Interval for 2-Means (2 Sample T-Interval)
Given two independent random samples with the following
results:
n1=11
n2=17
x1¯=118
x2¯=155
s1=18
s2=13
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that the population
variances are equal and that the two populations are normally
distributed. Round values to 2 decimal places.
Lower and Upper endpoint?

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 samples taken
from two populations.
Sample 1
Sample 2
n1 = 400
n2 = 300
p1 = 0.53
p2 = 0.36
A. What is the point estimate of the difference between the two
population proportions? (Use
p1 − p2.
)
B. Develop a 90% confidence interval for the difference between
the two population proportions. (Use
p1 − p2.
Round your answer to four decimal places.)
to
C. Develop a 95% confidence interval for the...

Exercise 2. The following information is based on independent
random samples taken from two normally distributed populations
having equal variances:
Sample 1
Sample 2
n1= 15
n2= 13
x1= 50
x2= 53
s1= 5
s2= 6
Based on the sample information, determine the 90% confidence
interval estimate 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....

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