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). 7.95 24.63 12.39 7.06 24.17 35.70 0.25 0.64 0.32 0.27 0.80 0.56 State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: P<0 X OHO: PO H₁: p=0 O Ho: P = 0 H₂:p>O O Ho: P = 0 H₂: Po 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 does not indicate that the population correlation coefficient differs from 0. O 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. O Fail to reject Ho. The data indicates that the population correlation coefficient differs from 0. Is the result of the test surprising in light of the value of r? O Yes, this result is surprising given the size of r, but can be attributed to the large sample size. O 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. O 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). 7.95 24.63 12.39 7.06 24.17 35.70 0.25 0.64 0.32 0.27 0.80 0.56 State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: P<0 X OHO: PO H₁: p=0 O Ho: P = 0 H₂:p>O O Ho: P = 0 H₂: Po 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 does not indicate that the population correlation coefficient differs from 0. O 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. O Fail to reject Ho. The data indicates that the population correlation coefficient differs from 0. Is the result of the test surprising in light of the value of r? O Yes, this result is surprising given the size of r, but can be attributed to the large sample size. O 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. O No, this result is not surprising because the value of r is large.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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).
O Ho: P = 0
H₂: P = 0
O Ho: P = 0
H₂:p>0
State the appropriate null and alternative hypotheses.
O Ho: P = 0
Ha: P < 0
O Ho: P = 0
Ha: P = 0
X
y
r =
7.95 24.63 12.39 7.06 24.17 35.70
0.25 0.64 0.32 0.27 0.80 0.56
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.)
t =
P-value =
State the conclusion in the problem context.
O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0.
O 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.
O Fail to reject Ho. The data indicates that the population correlation coefficient differs from 0.
Is the result of the test surprising in light of the value of r?
O Yes, this result is surprising given the size of r, but can be attributed to the large sample size.
O 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.
O No, this result is not surprising because the value of r is large.
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