Question

Use the following values: *n* = 14,
*s _{D}* = 1.20, and d = 0.87.

A) Find the P-value for the test

*H*_{0}: μ_{D} = 0

*H*_{1}: μ_{D} ≠ 0

B) Compute the lower limit of the 89% confidence interval on the difference between population means.

C) Compute the upper limit of the 89% confidence interval on the difference between population means.

Answer #1

A)

T test statistic for paired t test

=2.713

P value =0.0177.........................by using Excel command TDIST(2.713,13,2)

Sample size = n = 14

Degree of freedom = n - 1 = 14- 1 = 13

t critical value is = 1.7154........................by using t table or by using Excel command =TINV(0.11,13)

Confidence interval formula for paired t test.

=>(0.3198,1.4202)

B) The lower limit of the 89% confidence interval on the difference between population means = 0.3198

C) The upper limit of the 89% confidence interval on the difference between population means =1.4202

Use the following values: n = 14,
sD = 1.20, and d = 0.87.
A) Find the P-value for the test
H0: μD = 0
H1: μD ≠ 0
B) Compute the lower limit of the 89% confidence interval on the
difference between population means.
C) Compute the upper limit of the 89% confidence interval on the
difference between population means.

For questions
1-3:
For this
question use the following values: n = 14,
sD = 0.80, and d = -0.33.
1)
Find the P-value for the test
H0: μD = 0
H1: μD ≠ 0
0.035
0.070
0.106
0.147
0.161
0.222
0.260
0.300
0.324
0.379
2)
Compute the lower limit of the 94% confidence interval on the
differencebetween population means.
-0.946
-0.770
-0.581
-0.482
-0.136
-0.112
0.047
0.542
0.608
0.928
3)
Compute the upper limit of the 94% confidence interval...

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...

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...

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...

You may need to use the appropriate technology to answer this
question. A survey collected data on annual credit card charges in
seven different categories of expenditures: transportation,
groceries, dining out, household expenses, home furnishings,
apparel, and entertainment. Using data from a sample of 42 credit
card accounts, assume that each account was used to identify the
annual credit card charges for groceries (population 1) and the
annual credit card charges for dining out (population 2). Using the
difference data,...

You may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0: μd ≤ 0
Ha: μd > 0
(a) The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population (1)
Population (2)
Difference
1
21
18
?
2
28
27
?
3
18
15
?
4
20
18
?
5
26
25
?
(b) Compute d.
(c)...

You may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0:
μd ≤ 0
Ha:
μd > 0
(a)
The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
21
19
2
28
28
3
18
17
4
20
18
5
26
26
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
(d)...

10-10. The following table contains information on matched
sample values whose differences are normally distributed.
(You may find it useful to reference the appropriate
table: z table or t
table)
Number
Sample 1
Sample 2
1
18
22
2
13
11
3
22
23
4
23
20
5
17
21
6
14
16
7
18
18
8
19
20
a. Construct the 99% confidence interval for the mean
difference μD. (Negative values should
be indicated by a minus sign. Round...

A survey collected data on annual credit card charges in seven
different categories of expenditures: transportation, groceries,
dining out, household expenses, home furnishings, apparel, and
entertainment. Using data from a sample of 42 credit card accounts,
assume that each account was used to identify the annual credit
card charges for groceries (population 1) and the annual credit
card charges for dining out (population 2). Using the difference
data, with population 1 − population 2, the sample mean difference
was
d...

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