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Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). x y 8.08 24.33 12.39 6.99 23.97 35.64 0.25 0.68 0.30 0.28 0.82 0.57 State the appropriate null and alternative hypotheses. ○ Ho: p = 0 H₂: p<0 OHO:P #0 H₁₂p=0 O Ho: P=0 Ho:p>O ○ Hop = 0 Hap #0 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. 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 Ho. The data indicates that the population correlation coefficient differs from 0. Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Is the result of the test surprising in light of the value of r? Yes, this result is surprising given the size of r, but can be attributed to the large sample size. Yes, this result is surprising given the size of r, but can be attributed to the small sample size. O No, this result is not surprising because the value of r is small. ◇ No, this result is not surprising because the value of r is large.

Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). x y 8.08 24.33 12.39 6.99 23.97 35.64 0.25 0.68 0.30 0.28 0.82 0.57 State the appropriate null and alternative hypotheses. ○ Ho: p = 0 H₂: p<0 OHO:P #0 H₁₂p=0 O Ho: P=0 Ho:p>O ○ Hop = 0 Hap #0 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. 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 Ho. The data indicates that the population correlation coefficient differs from 0. Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Is the result of the test surprising in light of the value of r? Yes, this result is surprising given the size of r, but can be attributed to the large sample size. Yes, this result is surprising given the size of r, but can be attributed to the small sample size. O No, this result is not surprising because the value of r is small. ◇ No, this result is not surprising because the value of r is large.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
Section: Chapter Questions
Problem 35P
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Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). x y 8.08 24.33 12.39 6.99 23.97 35.64 0.25 0.68 0.30 0.28 0.82 0.57 State the appropriate null and alternative hypotheses. ○ Ho: p = 0 H₂: p<0 OHO:P #0 H₁₂p=0 O Ho: P=0 Ho:p>O ○ Hop = 0 Hap #0 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. 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 Ho. The data indicates that the population correlation coefficient differs from 0. Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Is the result of the test surprising in light of the value of r? Yes, this result is surprising given the size of r, but can be attributed to the large sample size. Yes, this result is surprising given the size of r, but can be attributed to the small sample size. O No, this result is not surprising because the value of r is small. ◇ No, this result is not surprising because the value of r is large.
Transcribed Image Text:Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). x y 8.08 24.33 12.39 6.99 23.97 35.64 0.25 0.68 0.30 0.28 0.82 0.57 State the appropriate null and alternative hypotheses. ○ Ho: p = 0 H₂: p<0 OHO:P #0 H₁₂p=0 O Ho: P=0 Ho:p>O ○ Hop = 0 Hap #0 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. 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 Ho. The data indicates that the population correlation coefficient differs from 0. Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Is the result of the test surprising in light of the value of r? Yes, this result is surprising given the size of r, but can be attributed to the large sample size. Yes, this result is surprising given the size of r, but can be attributed to the small sample size. O No, this result is not surprising because the value of r is small. ◇ No, this result is not surprising because the value of r is large.
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