Hydrogen content is conjectured to be an important factor in porosity of aluminum alloy castings. An article gives the accompanying data on x = content and y = gas porosity for one particular measurement technique. 0.18 0.20 0.21 0.21 0.21 0.22 0.23 0.23 0.24 0.24 0.25 0.28 0.30 0.37 y 0.48 0.71 0.42 0.44 0.55 0.44 0.24 0.48 0.22 0.82 0.86 0.72 0.70 0.74 Minitab gives the following output in a response to a Correlation command: Correlation of Hydrcon and Porosity = 0.425 (a) Test at level 0.05 to see whether the population correlation coefficient differs from 0. State the appropriate null and alternative hypotheses. O Ho: p = 0 Hip<0 O Ho: p = 0 H:p > 0 O Hoi p = 0 H,ip #0 O Ho: p+0 Hip = 0 Calculate the test statistic and determine the P-value. (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. O Fail to reject H. The data does not suggest that the population correlation coefficient differs significantly from 0. O Reject H,. The data suggests that the population correlation coefficient differs significantly from 0. O Fail to reject H. The data suggests that the population correlation coefficient differs significantly from 0. O Reject Hg. The data does not suggest that the population correlation coefficient differs significantly from 0. (b) If a simple linear regression analysis had been carried out, what percentage of observed variation in porosity could be attributed to the model relationship? (Round your answer to one decimal place.) %
Hydrogen content is conjectured to be an important factor in porosity of aluminum alloy castings. An article gives the accompanying data on x = content and y = gas porosity for one particular measurement technique. 0.18 0.20 0.21 0.21 0.21 0.22 0.23 0.23 0.24 0.24 0.25 0.28 0.30 0.37 y 0.48 0.71 0.42 0.44 0.55 0.44 0.24 0.48 0.22 0.82 0.86 0.72 0.70 0.74 Minitab gives the following output in a response to a Correlation command: Correlation of Hydrcon and Porosity = 0.425 (a) Test at level 0.05 to see whether the population correlation coefficient differs from 0. State the appropriate null and alternative hypotheses. O Ho: p = 0 Hip<0 O Ho: p = 0 H:p > 0 O Hoi p = 0 H,ip #0 O Ho: p+0 Hip = 0 Calculate the test statistic and determine the P-value. (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. O Fail to reject H. The data does not suggest that the population correlation coefficient differs significantly from 0. O Reject H,. The data suggests that the population correlation coefficient differs significantly from 0. O Fail to reject H. The data suggests that the population correlation coefficient differs significantly from 0. O Reject Hg. The data does not suggest that the population correlation coefficient differs significantly from 0. (b) If a simple linear regression analysis had been carried out, what percentage of observed variation in porosity could be attributed to the model relationship? (Round your answer to one decimal place.) %
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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