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In: Statistics and Probability

Given the simple regression model Y= βo+ β1X and the regression results that​ follow, test the...

Given the simple regression model Y= βo+ 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 0.01 , and determine the​ two-sided 90​% and 99​% confidence intervals.

a. A random sample of size = 40 with b1 = 55 and sb1 =1.1

b. A random sample of size n = 47 with b1= 5.3 and sb1= 1.1

c. A random sample of size n = 40 with b1= 2.9 and sb1= 0.85

d. A random sample of size n= 33 with b1=7.3 and sb1= 0.8

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 0.01

Reject or do not reject ??? H0. There is sufficient or insufficient ? evidence that the slope coefficient is greater than zero.

Determine the​ two-sided 90​% confidence interval.

​(_________, _________)

​(Round to two decimal places as​ needed.)

Determine the​ two-sided 99​% confidence interval.

​(______​,_______)

​(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 10.01.

Do not reject or Reject ??? H0. There is insufficient or sufficient ???? evidence that the slope coefficient is greater than zero.

Determine the​ two-sided 90​% confidence interval.

​(_______​,_______)

​(Round to two decimal places as​ needed.)

Determine the​ two-sided 99​%

confidence interval.

​(_____,_______​)

​(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 0.01.

Reject or Do not reject ????? H0. There is sufficient or insufficient ???? evidence that the slope coefficient is greater than zero.

Determine the​ two-sided 90​% confidence interval.

​(______,_______​)

​(Round to two decimal places as​ needed.)

Determine the​ two-sided 99​% confidence interval.

​(_____​,______​)

​(Round to two decimal places as​ needed.)

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 0.01.

Reject or Do not reject ???? H0. There is insufficient or sufficient ???? evidence that the slope coefficient is greater than zero.

Determine the​ two-sided 90​% 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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orchestra answered 2 years ago
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