Given the simple regression model Y = Bo + B,X 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= 39 with b, = 8 and Sh. =2.9 b. A random sample of size n= 49 with b, = 8.3 and sh. =2.9 c. A random sample of size n= 39 with b, = 5.3 and sp. = 1.52 d. A random sample of size n= 32 with b, = 9.5 and sp. = 1.5 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. Reject Ho. There is sufficient evidence that the slope coefficient is greater than zero. Determine the two-sided 95% confidence interval. O) (Round to two decimal places as needed.) Determine the two-sided 99% confidence interval. OD (Round to two decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 5EA
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a. Test the null hypothesis that the slope coeficient is 0 versus the altermative hypothesis of greater than zero using probability of Type leror equal to 0.10.
Reject
Ho, There is sufficient evidence that the slope coefficient is greater than zero.
Determine the two-sided 95% confidence interval.
O (Round to two decimal places as needed.)
Determine the two-sided 99% confidence interval.
OD (Round to two decimal places as needed.)
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.
Ho. There is
evidence that the slope coefficient is greater than zero.
Determine the two-sided 95% confidence interval.
OD (Round to two decimal places as needed.)
Determine the two-sided 99% confidence interval.
OD (Round to two decimal places as needed.)
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.
Ho. There is
evidence that the slope coefficient is greater than zero.
Determine the two-sided 95% confidence interval.
OD (Round to two decimal places as needed.)
Determine the two-sided 99% confidence interval.
OD (Round to two decimal places as needed.)
d. Test the null hypothesis that the slope coefficient is O versus the altemative hypothesis of greater than zero using probability of Type I error equal to 0.10.
Ho. There is
evidence that the slope coefficient is greater than zero.
Determine the two-sided 95% confidence interval.
OD (Round to two decimal places as needed.)
Determine the two-sided 99% confidence interval.
OD (Round to two decimal places as needed.)
Transcribed Image Text:a. Test the null hypothesis that the slope coeficient is 0 versus the altermative hypothesis of greater than zero using probability of Type leror equal to 0.10. Reject Ho, There is sufficient evidence that the slope coefficient is greater than zero. Determine the two-sided 95% confidence interval. O (Round to two decimal places as needed.) Determine the two-sided 99% confidence interval. OD (Round to two decimal places as needed.) 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. Ho. There is evidence that the slope coefficient is greater than zero. Determine the two-sided 95% confidence interval. OD (Round to two decimal places as needed.) Determine the two-sided 99% confidence interval. OD (Round to two decimal places as needed.) 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. Ho. There is evidence that the slope coefficient is greater than zero. Determine the two-sided 95% confidence interval. OD (Round to two decimal places as needed.) Determine the two-sided 99% confidence interval. OD (Round to two decimal places as needed.) d. Test the null hypothesis that the slope coefficient is O versus the altemative hypothesis of greater than zero using probability of Type I error equal to 0.10. Ho. There is evidence that the slope coefficient is greater than zero. Determine the two-sided 95% confidence interval. OD (Round to two decimal places as needed.) Determine the two-sided 99% confidence interval. OD (Round to two decimal places as needed.)
Given the simple regression model Y = Bo + B,X 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= 39 with b,
= 8 and
= 2.9
b. A random sample of size n = 49 with b, = 8.3 and
= 2.9
c. A random sample of sizen= 39 with b, = 5.3 and
= 1.52
%3D
d. A random sample of sizen=32 with b, = 9.5 and
= 1.5
...
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.
Reject
Ho. There is sufficient
evidence that the slope coefficient is greater than zero.
Determine the two-sided 95% confidence interval.
( ) (Round to two decimal places as needed.)
Determine the two-sided 99% confidence interval.
(| ) (Round to two decimal places as needed.)
Transcribed Image Text:Given the simple regression model Y = Bo + B,X 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= 39 with b, = 8 and = 2.9 b. A random sample of size n = 49 with b, = 8.3 and = 2.9 c. A random sample of sizen= 39 with b, = 5.3 and = 1.52 %3D d. A random sample of sizen=32 with b, = 9.5 and = 1.5 ... 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. Reject Ho. There is sufficient evidence that the slope coefficient is greater than zero. Determine the two-sided 95% confidence interval. ( ) (Round to two decimal places as needed.) Determine the two-sided 99% confidence interval. (| ) (Round to two decimal places as needed.)
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