Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance levelto determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm).State the appropriate null and alternative hypotheses.O Ho: P = 0H₂: P < 0O Ho: P = 0H₂: P >0O Ho: P #OH₂: p=0O Ho: P = 0H₁₂ :P #08.07 24.69 12.33 6.85 24.22 35.69y 0.29 0.65 0.31 0.27 0.80 0.57Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places.r=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.Reject Ho. The data does not indicate that the population correlation coefficient differs from 0.Fail to reject Ho. The data indicates that the population correlation coefficient differs from 0.O 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?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.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.

We need to perform the correlation test in the given example.First we find the sample correlation…

Answered: o determine whether a linear…

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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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 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…
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Han Samples are collected from the River X and pH values are observed. 9 different pH values are listed in table 3. Table 3 Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and find a. Bowley’s coefficient of skewness b. Karl Pearson’s coefficient of skewness c. Third moment
When computing the Z value to compare between two samples of two populations, o2 is a parameter of the statistical equation. Select one: O True O False
Fifty male subjects drank a measured amount x (in ounces) of a medication and the concentration y (in percent) in their blood of the active ingredient was measured 30 minutes later. The sample data are summarized by the following information: n = 50 Ex = 112.5 Ex? = 356.25 %3D Ey = 4.83 Ey = 0.667 Exy = 15.255 0 < x < 4.5 Or= 0.875 Or= 0.709 Or= -0.846 Or=0.460 Or= 0.965
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