The data to the right show the average retirement ages for a random sample of workers...
|
The data to the right show the average retirement ages for a random sample of workers in Country A and a random sample of workers in Country B. Complete parts a and b. |
|
|
years |
0067.5 |
|
years |
|
|
Sample size |
0030 |
|---|
0030
|
Population standard deviation |
0004.4 |
|---|
|
years |
0005.2 |
|
nbsp |
a. Perform a hypothesis test using
alpha
equals0.05
to determine if the average retirement age in Country B is higher than it is in Country A.
Let population 1 be the workers in Country A and population 2 be the workers in Country B. Identify the null and alternative hypotheses. Choose the correct answer below.
A.
Upper H 0
:
mu 1
minusmu 2greater than
0
Upper H 1
:
mu 1
minusmu 2less than or equals
0
B.
Upper H 0
:
mu 1
minusmu 2less than
0
Upper H 1
:
mu 1
minusmu 2greater than or equals
0
C.
Upper H 0 : mu 1 minus mu 2 less than or equals 0
Upper H 1 : mu 1 minus mu 2 greater than 0
D.
Upper H 0
:
mu 1
minusmu 2equals
0
Upper H 1
:
mu 1
minusmu 2not equals
0
E.
Upper H 0
:
mu 1
minusmu 2not equals
0
Upper H 1
:
mu 1
minusmu 2equals
0
F.
Upper H 0
:
mu 1
minusmu 2greater than or equals
0
Upper H 1
:
mu 1
minusmu 2less than
0
Calculate the appropriate test statistic.
The test statistic is
nothing
.
(Round to two decimal places as needed.)
Determine the appropriate critical value(s).
The critical value(s) is(are)
nothing
.
(Round to
three
decimal places as needed. Use a comma to separate answers as needed.)
Since the test statistic
▼
falls
does not fall
in the rejection region,
▼
do not reject
reject
Upper H 0
.
There is
▼
insufficient
sufficient
evidence to conclude that the average retirement age in Country B is higher than it is in Country A.
b. Determine the p-value and interpret the results.
The p-value is
nothing
.
(Round to three decimal places as needed.)
Since the p-value is
▼
less than
equal to
greater than
alpha
,
▼
reject
do not reject
Upper H 0
.
There is
▼
sufficient
insufficient
evidence to conclude that the average retirement age in Country B is higher than it is in Country A.
Homework Answers
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