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(e) Construct a 95% confidence interval about the slope of the true least-squares regression line Lower bound: (Round to three decimal places as needed.) Upper bound (Round to three decimal places as needed.)

(e) Construct a 95% confidence interval about the slope of the true least-squares regression line Lower bound: (Round to three decimal places as needed.) Upper bound (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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answer part e only

As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3390 3330 2300 3340 2480 28-Day Strength (psi), y 5220 4850 4070 4630 4120 ₁- P₁ FU OD. Ho B₁=0 H₁ B₁>0 Determine the P-value of this hypothesis test. P-value = 0.030 (Round to three decimal places as needed.) What is the conclusion that can be drawn? O A. Reject Ho and conclude that a linear relation does not exist between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. B. Do not reject Ho and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. O C. Do not reject Ho and conclude that a linear relation does not exist between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. D. Reject Ho and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. (e) Construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: (Round to three decimal places as needed.) Upper bound: (Round to three decimal places as needed.)
Transcribed Image Text:As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3390 3330 2300 3340 2480 28-Day Strength (psi), y 5220 4850 4070 4630 4120 ₁- P₁ FU OD. Ho B₁=0 H₁ B₁>0 Determine the P-value of this hypothesis test. P-value = 0.030 (Round to three decimal places as needed.) What is the conclusion that can be drawn? O A. Reject Ho and conclude that a linear relation does not exist between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. B. Do not reject Ho and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. O C. Do not reject Ho and conclude that a linear relation does not exist between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. D. Reject Ho and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type of concrete at the a= 0.05 level of significance. (e) Construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: (Round to three decimal places as needed.) Upper bound: (Round to three decimal places as needed.)
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