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.) %
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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
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 o.
State the appropriate null and alternative hypotheses.
O Ho: p = 0
Hip < 0
O Ho: p = 0
H:p > 0
O Ho: p = 0
Hip + 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.)
t =
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 H. 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.)
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