There is enough evidence to contradict the belief that when modulus of elasticity increased by 1 Gpa, the associated true average change in flexural strength would be at most 0.1 MPa. Reject HoThere is enough evidence to contradict the belief that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be at most 0.1 MPa. There is not enough evidence to contradict the belief that when modulus of elasticity increased by 1 Gpa, the associated true average change in flexural strength would be at most 0.1 MPa. There is not enough evidence to contradict the belief that when modulus of elasticity increased by 1 GPS, the associated true average change in flexural strength would be at most 0.1 MPa. (Round your test statistic to two decimal places and your P-value to three decimal places.) p-value State the conclusion in the problem context. No: +0.1 Ho: B = 0.1 Ho: A, 0.1 M: A, 0.1 Mo: 8,-0.1 Ho: * 0.1 Compute the test statistic value and find the P-value. State the appropriate null and alternative hypotheses. Does the sample data contradict this belief? Test the relevant hypotheses. R-sq describes how well the data fits the model (1 and -1 indicate perfect fit). P-values determine the significance of the predictor variables. The regression equation gives an approximation of how X’s predict Y. (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. Output from the regression analysis appears in the Session window of Minitab. 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. 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 outside this interval. (Round your answers to three decimal places.) ) MPа Interpret the resulting interval.
Predictor Coef Stev t-ratio Constant 3.2924 0.5007 5.40 0.000 mod elas 0.10743 0.01281 8.39 0.000 - 0.865 R = 23.4 R-s(ad) - 72.7% Analysis of Variance SOURCE DF SS MS Regression 1 52.574 52.674 70.33 0.000 BEROE 25 18.736 0.249 Total 71.41 P (a) Use the output to calculate a confidence interval (in MPa) with a confidence level of 95% for the slope of the population regression line. 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).