(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
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
OB. 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.
OC. 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
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.)
CLE
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. OB. 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. OC. 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 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.) CLE Upper bound (Round to three decimal places as needed.)
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