(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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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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