Solution Found!
Refer to Exercise 11.3.a Do the data present sufficient
Chapter 11, Problem 23E(choose chapter or problem)
Refer to Exercise 11.3.
a Do the data present sufficient evidence to indicate that the slope \(\beta_{1}\) differs from zero? (Test at the 5% significance level.)
b What can be said about the attained significance level associated with the test implemented in part (a) using a table in the appendix?
c Applet Exercise What can be said about the attained significance level associated with the test implemented in part (a) using the appropriate applet?
d Find a 95% confidence interval for \(\beta_{1}\).
Equation transcription:
Text transcription:
beta{1}
Questions & Answers
QUESTION:
Refer to Exercise 11.3.
a Do the data present sufficient evidence to indicate that the slope \(\beta_{1}\) differs from zero? (Test at the 5% significance level.)
b What can be said about the attained significance level associated with the test implemented in part (a) using a table in the appendix?
c Applet Exercise What can be said about the attained significance level associated with the test implemented in part (a) using the appropriate applet?
d Find a 95% confidence interval for \(\beta_{1}\).
Equation transcription:
Text transcription:
beta{1}
ANSWER:
Step 1 of 6
(a)
In this part we need to test the null hypothesis
against the alternative hypothesis
with the significance level of .
The test statistic that we use for this test is:
where
where
where
and is the number of data.
For this test statistic, the reject region is:
where
when is a Student's -distribution with degrees of freedom.
because of the symmetry of a Student's -distribution.