Question

Given two dependent random samples with the following results:

Population 1 | 26 | 48 | 45 | 37 | 40 | 44 | 18 |
---|---|---|---|---|---|---|---|

Population 2 | 32 | 36 | 35 | 31 | 38 | 36 | 22 |

Use 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 3 of 4: Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.

Step 4 of 4: Construct the 90% confidence interval. Round your answers to one decimal place.

Answer #1

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....

Given two dependent random samples with the following
results:
Population 1
19
26
26
30
48
33
31
Population 2
24
38
40
38
39
41
29
Use this data to find the 98% confidence interval for the true
difference between the population means.
Let d=(Population 1 entry)−(Population 2 entry)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, x‾d. Round your answer to one decimal place....

Given two dependent random samples with the following
results:
Population 1
41
33
18
34
42
39
50
Population 2
50
29
29
28
47
24
44
Use this data to find the 95% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Step 1 of 4:
Find the point estimate for the population mean of the paired
differences. Let x1 be the value from Population 1 and x2 be the
value...

Given two dependent random samples with the following
results:
Population 1
41
39
47
18
39
21
34
Population 2
30
37
45
22
24
31
45
Use this data to find the 80% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Step 1 of 4:
Find the point estimate for the population mean of the paired
differences. Let x1 be the value from Population 1 and x2 be the
value...

Given two dependent random samples with the following
results:
Population 1: 48, 18, 22, 31, 18, 26, 40
Population 2, 45, 28, 24, 19, 27, 36, 30
Use this data to find the 95% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Step 1 of 4: Find the point estimate for the population mean of
the paired differences. Let x1 be the value from Population 1 and
x2 be the value...

Given two dependent random samples with the following
results:
Population 1
20
22
44
42
28
48
39
Population 2
30
30
32
45
18
43
32
Use this data to find the 99% confidence interval for the true
difference between the population means. Assume that both
populations are normally distributed.
Copy Data
Step 1 of 4 :
Find the point estimate for the population mean of the paired
differences. Let x1 be the value from Population 1 and x2...

Given two dependent random samples with the following results:
Population 1 34 34 45 45 42 42 32 32 26 26 31 31 38 38 Population 2
36 36 38 38 28 28 26 26 39 39 29 29 49 49 Use this data to find the
99% 99 % confidence interval for the true difference between the
population means. Assume that both populations are normally
distributed. Copy Data Step 1 of 4 : Find the point estimate for
the...

Given two dependent random samples with the following
results:
Population 1
40
40
31
32
34
49
38
Population 2
36
29
43
42
25
40
24
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)d=(Population 1
entry)−(Population 2 entry). Assume that both populations are
normally distributed.
Step 4: Construct the 95% confidence interval. Round your
answers to one decimal place.

Given two dependent random samples with the following
results:
Population 1
81
59
57
84
52
62
65
80
Population 2
85
53
66
82
54
64
57
84
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a
significance level of α=0.02 for the test. Assume that both
populations are normally distributed.
Step 2 of 5:
Find the value of the standard deviation...

Given two dependent random samples with the following
results:
Population 1
59
57
77
60
59
64
72
67
Population 2
61
53
84
53
69
74
64
73
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1
entry)−(Population 2 entry). Use a significance level of
α=0.01α=0.01 for the test. Assume that both populations are
normally distributed.
Copy Data
Step 1 of 5:
State...

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