Question
In: Statistics and Probability
Consider the following hypothesis test. H0: u 1 -u 2= 0 Ha: u1 -u 2≠ 0 The following...
Consider the following hypothesis test.
H0: u 1
-u 2= 0
Ha: u1 -u 2≠
0
The following results are from independent samples taken from two populations.
| Sample 1 | Sample 2 |
| n 1 = 35 | n 2 = 40 |
| x 1 = 13.6 | x 2 = 10.1 |
| s 1 = 5.8 | s 2 = 8.1 |
a. What is the value of the test statistic (to 2 decimals)?
b. What is the degrees of freedom for the t distribution? (Round down your answer to the whole number)
c. What is the p-value? Use z-table.
The area in the upper tail is: (less than .005, between .005 and .01, between .01 and .025, between .025 and .05, between .05 and .10, between .10 and .20, greater than .20) ------ two-tailed p-value is between (less than .01, between .01 and .02, between .02 and .05, between .05 and .1, between .1 and .20, between .20 and 40, greater than .40Item 4 ).
d. At = .05, what is your conclusion?
p-value is : (greater than or equal to 0.05, reject, greater than 0.05, do not reject, less than or equal to 0.05, reject, less than 0.05, do not reject, equal to 0.05, reject, not equal to 0.05, reject) H0
Solutions
orchestra answered 2 years agoRelated Solutions
Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following...
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
18
2
28
25
3
18
16
4
20
19
5
26
25
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic. (Round...
Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following...
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
20
2
28
28
3
18
18
4
20
18
5
26
24
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
(d)
Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic....
Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following...
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
21
2
28
28
3
18
16
4
20
18
5
26
25
(b) Compute d.
(c) Compute the standard deviation
sd.
(d) Conduct a hypothesis test using α = 0.05.
Calculate the test statistic....
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 −
μ2 ≠ 0 The following results are from independent samples taken
from two populations assuming the variances are unequal. Sample 1
Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.8 s2 = 8.2
(a) What is the value of the test statistic? 2.153 correct
(b) What is the degrees of freedom for the t distribution?
(Round your answer...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.9
s2 = 8.1
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t...
1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2...
1. Consider this hypothesis test:
H0: p1 - p2 = < 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “happy” of Population
1 and p2 is the population proportion of “happy” of Population 2.
Use the statistics data from a simple random sample of each of the
two populations to complete the following:
Population 1
Population 2
Sample Size (n)
1000
1000
Number of “yes”
600
280
a. Compute the test statistic z.
b....
PART A 1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1...
PART
A
1. Consider this hypothesis test:
H0: p1 - p2 = <
0 Ha: p1 - p2 > 0
Here p1 is the
population proportion of “yes” of Population 1 and p2 is the
population proportion of “yes” of Population 2. Use the statistics
data from a simple random sample of each of the two populations to
complete the following: (8
points)
Population 1
Population 2
Sample Size (n)
500
700
Number of “yes”
400
560
Compute the test...
Consider this hypothesis test: H0: p1 - p2 = 0 Ha: p1 - p2 > 0...
Consider this hypothesis test:
H0: p1 - p2 = 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “yes” of Population 1
and p2 is the population proportion of “yes” of Population 2. Use
the statistics data from a simple random sample of each of the two
populations to complete the following: (8 points)
Population 1 Population 2
Sample Size (n) 500 700
Number of “yes” 400 560
Compute the test statistic z.
What is...
. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2...
. Consider this hypothesis test:
H0: p1 - p2 = < 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “happy” of Population
1 and p2 is the population proportion of “happy” of Population 2.
Use the statistics data from a simple random sample of each of the
two populations to complete the following:
Population 1
Population 2
Sample Size (n)
1000
1000
Number of “yes”
600
280
a. Compute the test statistic z.
b....
Consider the following hypothesis test: H0: ? = 16 Ha: ? ? 16 A sample of...
Consider the following hypothesis test: H0: ? = 16 Ha: ? ? 16 A
sample of 40 provided a sample mean of 14.17. The population
standard deviation is 6. a. Compute the value of the test statistic
(to 2 decimals). b. What is the p-value (to 4 decimals)? c. Using ?
= .05, can it be concluded that the population mean is not equal to
16? Answer the next three questions using the critical value
approach. d. Using ? =...
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