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 () below. 7-Day Strength (psi), x| 2480 2890 3340 28-Day Strength (psi), y 4120 4620 4630 5020 4190 3380 26200 (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between 7-day strength and 28-day strength at the a= 0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Po =0 H: Po #0 O B. Hg: Po =0 H,: Po >0 OC. Hoi Py =0 H,: B, #0 O D. H: P, =0 H: Py >0 Determine the Pvalue of this hypothesis test. P-value =(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. O B. Do not reject Ho and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type e concrete at the a = 0.05 level of significance. OC. 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. OD. 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. (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.) (f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 psi? A good estimate of the mean 28-day strength is psi. im... ... d.t- -...
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 () below. 7-Day Strength (psi), x| 2480 2890 3340 28-Day Strength (psi), y 4120 4620 4630 5020 4190 3380 26200 (d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between 7-day strength and 28-day strength at the a= 0.05 level of significance. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Po =0 H: Po #0 O B. Hg: Po =0 H,: Po >0 OC. Hoi Py =0 H,: B, #0 O D. H: P, =0 H: Py >0 Determine the Pvalue of this hypothesis test. P-value =(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. O B. Do not reject Ho and conclude that a linear relation exists between the 7-day and 28-day strength of a certain type e concrete at the a = 0.05 level of significance. OC. 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. OD. 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. (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.) (f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 psi? A good estimate of the mean 28-day strength is psi. im... ... d.t- -...
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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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
28-Day Strength (psi), y 4120 4620
2480 2890 3340 3380 2620
4630 5020 4190
(d) A normal probability plot suggests that the residuals are normally distributed. Test whether a linear relation exists between 7-day strength and 28-day strength at the a = 0.05 level of significance.
State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Po =0
H1: Po #0
O B. H,: Po = 0
H1: Bo >0
OC. Ho: B, = 0
H;: B, #0
O D. Ho: B, = 0
H1: B, >0
Determine the P-value of this hypothesis test.
P-value =
(Round to three decimal places as needed.)
What is the conclusion that can be drawn?
O A. Reject H, 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.
O 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. Reject H, 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 D. 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.
(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.)
(f) What is the estimated mean 28-day strength of this concrete if the 7-day strength is 3000 psi?
A good estimate of the mean 28-day strength is
psi.
in...- 1- 1..- 1--:--- --I---- -- -----
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