Question

Find the 95% confidence interval for estimating μd based on these paired data and assuming normality. (Give your answers correct to one decimal place.) Before 43 42 67 54 59 55 After 42 50 34 54 30 58 Lower Limit Upper Limit

Answer #1

Using excel to find the mean difference and standard deviation of the difference

Difference = After - Before

Mean is calculated using AVERAGE function and standard deviation is calculated using STDEV.S function

sample size is n = 6

degree of freedom = n-1 =6-1 = 5

alpha level = 1 -confidence level = 1 - 0.95 = 0.05

t critical = T.INV.2T(alpha,df)

= T.INV.2T(0.05,5)

= 2.571

Confidence interval =

Find the 99% confidence interval for estimating
μd based on these paired data and assuming
normality. (Give your answers correct to one decimal place.)
Before
42
65
52
57
58
48
After
30
43
48
32
30
50
Lower Limit
Upper Limit

Use a t-distribution to find a confidence interval for the
difference in means μd=μ1-μ2 using the relevant sample results from
paired data. Assume the results come from random samples from
populations that are approximately normally distributed, and that
differences are computed using d=x1-x2.
A 95% confidence interval for μd using the paired data in the
following table:
Case
Situation 1
Situation 2
1
77
87
2
81
86
3
95
91
4
61
79
5
71
77
6
72
62...

Construct a 95% confidence interval to estimate the population
mean using the data below.
With 95 % confidence, when nequals= 50 the population mean is
between a lower limit of _____ and an upper limit of ______

Find the 95% confidence interval for the difference between two
means based on this information about two samples. Assume
independent samples from normal populations. (Use conservative
degrees of freedom.) (Give your answers correct to two decimal
places.)
Sample
Number
Mean
Std. Dev.
1
17
40
26
2
30
26
27
Lower Limit
Upper Limit
You may need to use the appropriate table in Appendix B to answer
this question.

Age of CEO
57
49
57
63
58
56
67
62
61
61
53
58
52
58
56
66
56
59
52
63
52
59
57
64
53
54
65
46
58
58
57
50
62
57
58
52
48
59
54
62
66
46
52
63
57
52
61
50
55
55
64
48
56
58
55
60
51
62
62
50
45
50
52
55
58
57
52
53
61
55
63
54
52
59
50
56
57...

Construct a 95% confidence interval for the average difference
between the job satisfaction of a lawyer and a cabinet maker.
Lawyer
Physical Therapist
Cabinetmaker
Systems Analyst
44
55
54
44
42
78
65
73
74
80
79
71
42
86
69
60
53
60
79
64
50
59
64
66
45
62
59
41
48
52
78
55
64
55
84
76
38
50
60
62

Refer to the accompanying data set and construct a 95%
confidence interval estimate of the mean pulse rate of adult
females; then do the same for adult males. Compare the results.
Males Females
81
82
72
94
52
57
59
66
51
54
62
80
52
77
74
85
51
89
62
57
73
35
61
64
62
87
80
74
80
79
63
62
63
67
97
76
43
60
85
65
72
86
66
85
73
69
72 ...

Using SPSS, the outcome of the data analysis are as follow;
Paired Differences
95% Confidence Interval of the difference
Mean
Std. Deviation
Std. Error Mean
Lower
Upper
T
df
Sig.(2-tailed)
Pair 1
Method A-Method B
5.200
6.125
1.937
0.819
9.581
2.685
9
1-Provide a statement about the finding in this table for paired
t-test and it is interpretation?
2-Report the estimate difference for ua-ub
between the mean scores obtained by children taught by the two
methods and its 95% confidence...

Using techniques from an earlier section, we can find a
confidence interval for μd. Consider a
random sample of n matched data pairs A,
B. Let d = B − A be a random
variable representing the difference between the values in a
matched data pair. Compute the sample mean d of the
differences and the sample standard deviation
sd. If d has a normal distribution or
is mound-shaped, or if n ≥ 30, then a confidence
interval for μd...

find a 95% confidence interval for the mean electricity
consumption for all days having average temperature 73.6 degrees. Also,
find a 95% prediction interval for the electricity consumption for a new
day with average temperature 73.6 degrees.
temperatureavg kilowattsperhour
77.5 45
80 73
78 43
78.5 61
77.5 52
83 56
83.5 70
81.5 70
75.5 53
69.5 51
70 39
73.5 55
77.5 55
79 57
80 68
79 73
76 57
76 51
75.5 55
79.5 56
78.5...

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