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e following Minitab output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). Predictor Coef Stdev t-ratio Constant 3.2921 0.6010 5.48 0.000 mod elas 0.10742 0.01277 8.41 0.000 S- 0.8657 R-sq - 73.99 R-sq (adj) - 72.84 Analysis of Variance SOURCE DF MS P 1 53.004 18.736 4ר.ור Regression 53.004 0.000 7ר .0ר Error 25 0.749 Total 26 a) Use the output to calculate a confidence Interval (In MPa) with a confidence level of 95% for the slope B, of the population regression line. (Round your answers to three decimal places.) |MPa Interpret the resulting interval. O we are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity outside this interval. O we are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. O We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is below this interval. b) Suppose It had previously been belleved that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be at most 0.1 MPa. Does the sample data contradict this belief? Test the relevant hypotheses. State the appropriate null and alternative hypotheses. O Ho: B, = 0.1 H: Bq < 0.1 O Ho: Bq = 0.1 H: Bq = 0.1 O Họ: Bị # 0.1 H: Bq = 0.1 O Họ: Bị = 0.1 H: B, > 0.1 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value =

e following Minitab output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). Predictor Coef Stdev t-ratio Constant 3.2921 0.6010 5.48 0.000 mod elas 0.10742 0.01277 8.41 0.000 S- 0.8657 R-sq - 73.99 R-sq (adj) - 72.84 Analysis of Variance SOURCE DF MS P 1 53.004 18.736 4ר.ור Regression 53.004 0.000 7ר .0ר Error 25 0.749 Total 26 a) Use the output to calculate a confidence Interval (In MPa) with a confidence level of 95% for the slope B, of the population regression line. (Round your answers to three decimal places.) |MPa Interpret the resulting interval. O we are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity outside this interval. O we are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. O We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is below this interval. b) Suppose It had previously been belleved that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be at most 0.1 MPa. Does the sample data contradict this belief? Test the relevant hypotheses. State the appropriate null and alternative hypotheses. O Ho: B, = 0.1 H: Bq < 0.1 O Ho: Bq = 0.1 H: Bq = 0.1 O Họ: Bị # 0.1 H: Bq = 0.1 O Họ: Bị = 0.1 H: B, > 0.1 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value =

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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The following Minitab output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). Predictor Сoef Stdev t-ratio Constant 3.2921 0.6010 5.48 0.000 mod elas 0.10742 0.01277 8.41 0.000 s = 0.8657 R-sq = 73.9% R-sq (adj) 72.8% Analysis of Variance SOURCE DF SS MS F P Regression 53.004 53.004 70.77 0.000 Error 25 18.736 0.749 Total 26 71.74 (a) Use the output to calculate a confidence interval (in MPa) with a confidence level of 95% for the slope B, of the population regression line. (Round your answers to three decimal places.) 1 MPа Interpret the resulting interval. We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity outside this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is below this interval. (b) Suppose it had previously been believed that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be at most 0.1 MPa. Does the sample data contradict this belief? Test the relevant hypotheses. State the appropriate null and alternative hypotheses. Ho: B1 H,: B, < 0.1 = 0.1 1 O Ho: B, = 0.1 H2: B1 # 0.1 O Hoi Bq # 0.1 H: B1 H : a = 0.1 a O Ho: B1 = 0.1 H,: B, > 0.1 1 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value =
Transcribed Image Text:The following Minitab output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). Predictor Сoef Stdev t-ratio Constant 3.2921 0.6010 5.48 0.000 mod elas 0.10742 0.01277 8.41 0.000 s = 0.8657 R-sq = 73.9% R-sq (adj) 72.8% Analysis of Variance SOURCE DF SS MS F P Regression 53.004 53.004 70.77 0.000 Error 25 18.736 0.749 Total 26 71.74 (a) Use the output to calculate a confidence interval (in MPa) with a confidence level of 95% for the slope B, of the population regression line. (Round your answers to three decimal places.) 1 MPа Interpret the resulting interval. We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity outside this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is below this interval. (b) Suppose it had previously been believed that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be at most 0.1 MPa. Does the sample data contradict this belief? Test the relevant hypotheses. State the appropriate null and alternative hypotheses. Ho: B1 H,: B, < 0.1 = 0.1 1 O Ho: B, = 0.1 H2: B1 # 0.1 O Hoi Bq # 0.1 H: B1 H : a = 0.1 a O Ho: B1 = 0.1 H,: B, > 0.1 1 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value =
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