Question

6. Given two independent random samples with the following results: ?ଵ = 7 ?̅ଵ = 103 ?ଵ = 34 Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. ?ଶ = 12 ?̅ଶ = 82 ?ଶ = 15 Step 1. Find the point estimate that should be used in constructing the confidence interval. Answer: ____________________ Step 2. Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Answer: ____________________ Step 3. Construct the 90% confidence interval. Round your answers to the nearest whole number. Answer: Lower endpoint: _______________ Upper endpoint: _______________

Answer #1

Given two independent random samples with the following
results:
n1
=
11
n2
=
13
xbar1
=
162
xbar^2
=
130
s1
=
31
s2
=
30
Use this data to find the 95% 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.
Copy Data
Step 1 of 3: Find the critical value that should be used in
constructing the confidence interval. Round...

Given two independent random samples with the following
results:
n1=7
x‾1=129
s1=14
n2=14
x‾2=159
s2=24
Use this data to find the 95% confidence interval for the true
difference between the population means. Assume that the population
variances are not equal and that the two populations are normally
distributed.
Step 1 of 3:
Find the point estimate that should be used in constructing the
confidence interval.
Step 2 of 3:
Find the margin of error to be used in constructing the...

Given two independent random samples with the following
results:
n1=5 n2=8
x‾1=198 x‾2=182
s1=26 s2=23
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that the population
variances are not equal and that the two populations are normally
distributed.
Copy Data
Step 1 of 3:
Find the point estimate that should be used in constructing the
confidence interval.
Step 2 of 3:
Find the margin of error to be used in...

Given two independent random samples with the following results:
n1=11 x‾1=131 s1=30 n2=13 x‾2=162 s2=33 Use this data to find the
95% confidence interval for the true difference between the
population means. Assume that the population variances are not
equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in
constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing
the...

Given two independent random samples with the following
results:
n1=16 x‾1=170 s1=23 n2=9 x‾2=152 s2=21
Use this data to find the 80% 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.
Step 1 of 3:
Find the point estimate that should be used in constructing the
confidence interval.
Step 2 of 3:
Find the margin of error to be used in constructing the
confidence...

Given two independent random samples with the following
results:
n1=8
x‾1=114
s1=22
n2=16
x‾2=88
s2=27
Use this data to find the 80% confidence interval for the true
difference between the population means. Assume that the population
variances are not equal and that the two populations are normally
distributed.
Step 1 of 3:
Find the critical value that should be used in constructing the
confidence interval. Round your answer to three decimal places.
Step 2 of 3:
Find the standard error...

Given two independent random samples with the following
results:
n1=11
x‾1=128
s1=23
n2=13
x‾2=110
s2=32
Use this data to find the 95%95% 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.
Copy Data
Step 1 of 3:
Find the critical value that should be used in constructing the
confidence interval. Round your answer to three decimal places.
Step 2 of 3:
Find the standard...

Given two independent random samples with the following
results:
n1=227
x1=114
n2=103
x2=80
Use this data to find the 90% confidence interval for the true
difference between the population proportions.Copy
Step 1 of 4:
Find the values of the two sample proportions, pˆ1
and pˆ2. Round your answers to three decimal places.
Step 2 of 4:
Find the critical value that should be used in constructing the
confidence interval.
Step 3 of 4:
Find the value of the standard error. Round...

Given two dependent random samples with the following
results:Population 126484537404418Population 232363531383622Use this data to find the 90% confidence interval for the true
difference between the population means.Let d=(Population 1 entry)−(Population 2 entry). Assume that
both populations are normally distributed.Step 1 of 4: Find the mean of the paired differences, d‾. Round
your answer to one decimal place.Step 2 of 4: Find the critical value that should be used in
constructing the confidence interval. Round your answer to three
decimal places.Step...

Given two dependent random samples with the following
results:
Population 1 45 46 27 36 38 33 15
Population 2 42 32 42 41 25 28 19
Use this data to find the 95% confidence interval for the true
difference between the population means. Let d = (Population 1
entry -- (Population 2 entry). Assume that both populations are
normally distributed.
Solution:
Step 1. Find the mean of the paired differences, d-bar . Round
your answer to one decimal place....

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