Question: Given the simple regression model Y=0+1X and the regression results thatfollow, test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis

Given the simple regression model Y=0+1X and the regression results thatfollow, 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 thetwo-sided 95% and 99% confidence intervals.

a. A random sample of size n=37 with b1=7 and sb1=1.8

b. A random sample of size n=48 with b1=7.1 and sb1=1.8

c. A random sample of size n=37 with b1=1.2 and sb1=0.99

d. A random sample of size n=35 with b1=8.5 and sb1=0.9

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.

Determine thetwo-sided 95% confidence interval.

Determine thetwo-sided 99% confidence interval.

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.

Determine thetwo-sided 95% confidence interval.

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.

Determine thetwo-sided 95% confidence interval.

Determine thetwo-sided 99% confidence interval.

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.

Determine thetwo-sided 95% confidence interval.

Determine thetwo-sided 99% confidence interval.

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