Question
In: Statistics and Probability
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2...
Assume that the differences are normally distributed. Complete parts (a) through (d) below.
|
Observation |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|---|---|---|---|---|---|---|---|---|---|
|
Xi |
44.9 |
50.8 |
45.6 |
48.1 |
53.5 |
50.6 |
49.9 |
48.0 |
|
|
Yi |
46.2 |
51.3 |
48.9 |
52.8 |
53.7 |
52.8 |
50.3 |
50.6 |
(a) Determine di=Xi−Yi for each pair of data.
|
Observation |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|---|---|---|---|---|---|---|---|---|
|
di |
|
(Type integers or decimals.)
(b) Compute d and sd.
(c) Test if μd <0 at the a=0.05 level of significance.
(d) Compute a 95% confidence interval about the population mean difference μd
Solutions
Expert Solution
Ans. (a)
| Obs. | Xi | Yi | di = Xi - Yi | di2 |
| 1 | 44.9 | 46.2 | -1.3 | 1.69 |
| 2 | 50.8 | 51.3 | -0.5 | 0.25 |
| 3 | 45.6 | 48.9 | -3.3 | 10.89 |
| 4 | 48.1 | 52.8 | -4.7 | 22.09 |
| 5 | 53.5 | 53.7 | -0.2 | 0.04 |
| 6 | 50.6 | 52.8 | -2.2 | 4.84 |
| 7 | 49.9 | 50.3 | -0.4 | 0.16 |
| 8 | 48 | 50.6 | -2.6 | 6.76 |
| SUM = | -15.2 | 46.72 |
orchestra answered 2 years agoRelated Solutions
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below. Observation 1 2 3 4 5 6 7 8 Upper X
Subscript i 40.9 50.0 44.6 42.9 47.2 48.7 51.4 50.2 Upper Y
Subscript i 45.6 48.3 46.4 47.8 50.1 50.2 53.2 50.6 (a) Determine
d Subscript i Baseline equals Upper X Subscript i Baseline minus
Upper Y Subscript i for each pair of data. Observation 1 2 3 4 5 6
7 8 di nothing nothing...
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2...
Assume that the
differences are normally distributed. Complete parts
(a) through (d) below.
Observation
1
2
3
4
5
6
7
8
Xi
43.4
51.5
44.1
44.4
51.3
42.2
47.7
49.4
Yi
47.6
50.2
48.8
49.5
51.2
45.7
48.3
50.2
(a)
Determine di = Xi − Yi for each pair of data.
Observation
1
2
3
4
5
6 7
di
_________ __________ __________ __________ __________
__________ __________
(Type integers or
decimals.)
(b) Compute d and sd .
d=...
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below.
Observation
1
2
3
4
5
6
7
8
Upper X Subscript iXi
52.852.8
44.044.0
45.745.7
41.441.4
47.047.0
47.647.6
50.650.6
46.746.7
Upper Y Subscript iYi
53.253.2
45.745.7
50.550.5
45.545.5
48.648.6
47.947.9
51.351.3
46.646.6
(a) Determine
d Subscript i Baseline equals Upper X Subscript i Baseline minus
Upper Y Subscript idi=Xi−Yi
for each pair of data.
Observation
1
2
3
4
5
6
7
8
di
negative ....
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below.
Observation
1
2
3
4
5
6
7
8
Open in StatCrunch
+
Copy to Clipboard
+
Open in Excel
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Upper X Subscript iXi
46.746.7
47.747.7
45.645.6
50.250.2
48.448.4
50.850.8
47.847.8
48.648.6
Upper Y Subscript iYi
50.150.1
48.448.4
47.347.3
54.554.5
47.947.9
50.950.9
49.649.6
50.350.3
(a) Determine
d Subscript i Baseline equals Upper X Subscript i Baseline minus
Upper Y Subscript idi=Xi−Yi
for each pair of data....
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below. Observation 1 2 3 4 5 6 7 8 Upper X
Subscript i 42.7 51.2 44.4 48.6 50.2 44.9 51.9 43.6 Upper Y
Subscript i 46.6 49.6 48.6 52.7 50.6 47.4 52.4 45.7 (a) Determine
d Subscript i Baseline equals Upper X Subscript i Baseline minus
Upper Y Subscript i for each pair of data. compute d and sd test if
Ud<0 at the 0.05 level of...
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation Observation Xi...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below.
Observation
Observation Xi Yi
1 44.0 47.1
2 48.0 49.8
3 45.6 47.9
4 47.7 51.8
5 51.9 51.8
6 47.9 47.8
7 47.1 48.3
8 47.8 49.3
(a) Determine di =Xi-Yi for each pair of data.
Observation 1 2 3 4 5 6 7 8
di
(b) Compute d and s d.
d=
sd=
(c) Test if μd< 0 at the a=0.05 level of...
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation Xi Yi...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below.
Observation Xi Yi
1 48.8 51.1
2 47.4 48.7
3 48.2 50.1
4 48.0 52.1
5 48.6 48.5
6 49.8 53.6
7 51.7 52.8
8 54.3 53.5
(a) Determine di = Xi−Yi for each pair of data. (Type integers
or decimals.)
di 1__ 2__ 3__ 4__ 5__ 6__ 7__ 8__
(b)Compute d overbard and sd.
d overbard = __ ?
sd = __?
(c)
Test if μd...
Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation Xi Yi...
Assume that the differences are normally distributed. Complete
parts (a) through (d) below.
Observation Xi Yi
1 52.0 53.4
2 54.3 53.6
3 49.5 54.1
4 44.0 48.7
5 53.9 53.2
6 50.8 52.3
7 50.9 52.6
8 51.0 53.4
(a) Determine di=Xi-Yi for each pair of data.
Answer: Di 1 2 3 4 5 6 7 8
-1.4 0.7 -4.6 -4.7 0.7 -1.5 -1.7 -2.4
(b) Compute d and sd.
Answer: d=-1.863
sd=2.047
(c) Test if μd<0 at the...
2. Use the sample data and confidence level given below to complete parts (a) through (d)....
2. Use the sample data and confidence level given below to
complete parts (a) through (d).
A drug is used to help prevent blood clots in certain patients.
In clinical trials, among 4691 patients treated with the drug,
158 developed the adverse reaction of nausea. Construct a 90%
confidence interval for the proportion of adverse reactions.
a) Find the best point estimate of the
population proportion p.
b) Identify the value of the margin of error
E.
E =
c)...
1. Use the sample data and confidence level given below to complete parts (a) through(d). A...
1. Use the sample data and confidence level given below to
complete parts (a) through(d).
A research institute poll asked respondents if they felt
vulnerable to identity theft. In the poll, n=1072 and x=569 who
said "yes." Use a 95% confidence level.
a) Find the best point estimate of the
population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error
E.
(Round to three decimal places as needed.)
c) Construct...
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