Given the simple regression model Y=β0+β1X and the regression results that follow, test the null hypothesis that the sl
Posted: Wed May 04, 2022 12:03 pm
Given the simple regression model
Y=β0+β1X
and the regression results that follow, test the null
hypothesis that the slope coefficient is 0 versus the alternative
hypothesis of greater than zero using probability of Type I error
equal to
0.10,
and determine the two-sided
95%
and
99%
confidence intervals.a. A random sample of size
n=36
with
b1=4
and
sb1=2.3
b. A random sample of size
n=50
with
b1=4.3
and
sb1=2.3
c. A random sample of size
n=36
with
b1=1.3
and
sb1=1.05
d. A random sample of size
n=31
with
b1=5.8
and
sb1=1.0
Question content area bottom
Part 1
a. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
H0.
There is
▼
sufficient
insufficient
evidence that the slope coefficient is greater than zero.
Part 2
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 3
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 4
b. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
Do not reject
Reject
H0.
There is
▼
insufficient
sufficient
evidence that the slope coefficient is greater than zero.
Part 5
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 6
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 7
c. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
Do not reject
Reject
H0.
There is
▼
insufficient
sufficient
evidence that the slope coefficient is greater than zero.
Part 8
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 9
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 10
d. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
Reject
Do not reject
H0.
There is
▼
sufficient
insufficient
evidence that the slope coefficient is greater than zero.
Part 11
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 12
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Y=β0+β1X
and the regression results that follow, test the null
hypothesis that the slope coefficient is 0 versus the alternative
hypothesis of greater than zero using probability of Type I error
equal to
0.10,
and determine the two-sided
95%
and
99%
confidence intervals.a. A random sample of size
n=36
with
b1=4
and
sb1=2.3
b. A random sample of size
n=50
with
b1=4.3
and
sb1=2.3
c. A random sample of size
n=36
with
b1=1.3
and
sb1=1.05
d. A random sample of size
n=31
with
b1=5.8
and
sb1=1.0
Question content area bottom
Part 1
a. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
H0.
There is
▼
sufficient
insufficient
evidence that the slope coefficient is greater than zero.
Part 2
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 3
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 4
b. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
Do not reject
Reject
H0.
There is
▼
insufficient
sufficient
evidence that the slope coefficient is greater than zero.
Part 5
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 6
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 7
c. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
Do not reject
Reject
H0.
There is
▼
insufficient
sufficient
evidence that the slope coefficient is greater than zero.
Part 8
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 9
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 10
d. Test the null hypothesis that the slope coefficient is 0
versus the alternative hypothesis of greater than zero using
probability of Type I error equal to
0.10.
▼
Reject
Do not reject
H0.
There is
▼
sufficient
insufficient
evidence that the slope coefficient is greater than zero.
Part 11
Determine the two-sided
95%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)
Part 12
Determine the two-sided
99%
confidence interval.
(enter your response here,enter your response here)
(Round to two decimal places as needed.)