An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 421 422 423 425 427 430 435 437 439 446 446 448 453 456 463 464 Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) ( , )
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An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
415 | 421 | 422 | 423 | 425 | 427 | 430 | 435 | 437 |
439 | 446 | 446 | 448 | 453 | 456 | 463 | 464 |
Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)
( , )
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- An experiment was carried out to compare electrical resistivity for six different low-permeability concrete bridge deck mixtures. There were 26 measurements on concrete cylinders for each mixture; these were obtained 28 days after casting. Suppose that all required ANOVA assumptions are satisfied. The entries in the accompanying ANOVA table are based on information in an article. Fill in the remaining entries. (Round your answer for f to two decimal places.) Sum of Source df Squares Mean Square f Mixture Error 14.019 Total 5664.395 Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let u; the true mean electrical resistivity for the ith mixture.) Ho: H1 = 42 = H3=H4= H5=H6 H: at least two u's are unequal %3D O Ho: H1 H5 + H6 : at least two u's are equal H2 # H3 Ha: Hoi H1 # Hz # H3 H4 Ha: all six u;'s are equal O Ho: H1 H2 = H3 = H4= #5 = H6 H: all six u;'s are unequal %3D %3D Give the test statistic. (Round your answer to two decimal places.) f =(iv) The mean level of Mn in fruit juice samples (n = 5) detected by Mn absorbance at 279.5 nm was found to be 20.934 ± 2.362 ng / g. Using this information report the experimental uncertainty based on a confidence interval of 50% and 95%. Comment on the effect of increased sampling on the confidence interval for values of the same mean and standard deviation. Degrees of Freedom 50 1 1.000 2 0.816 3 0.765 0.741 0.727 4 5 Confidence level (%) 95 98 12.706 31.821 4.303 6.965 3.182 4.541 2.776 3.747 2.571 3.365 90 6.314 2.920 2.353 2.132 2.015 99 63.656 9.925 5.841 4.604 4.032 99.5 127.321 14.089 7.453 5.598 4.773 100 636.578 31.598 12.924 8.610 6.869Leaf surface area is an important variable in plant gas-exchange rates. Dry matter per unit surface area (mg/cm?) was measured for trees raised under three different growing conditions. Let µ,, H,, and µz represent the true mean dry matter per unit surface area for the growing conditions 1, 2, and 3, respectively. Suppose that the 95% T-K confidence intervals are given below. Difference H1 - H3 Hz- H3 Interval (-2.55, -0.55) (-2.74, -0.74) (-1.93, 0.07) Which of the following four statements do you think describes the relationship between Hg, Hy, and u3? O µ, = µ,, and u, differs from µ, and u,. O H, = H3, and u, differs from µ, and uz. O H2 = H3, and µ, differs from H, and uz. = H2 = H3 All three u's are different from one another.
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- Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature x₁ = 1478, (x) and pavement deflection (y). Summary quantities were n = 20, Σy; = 12.75, Σy² = 8.86, Σx, Σ x = 143215.8, and Σxy. = 1083.67. Yi Find a 90.0% confidence interval on each of the following: (a) Slope. [i (b) Intercept. [i i i (c) Mean deflection when temperature x = 75 °F. [i i ] (Round your answers to 5 decimal places.) i ] (Round your answers to 3 decimal places.) (d) Find a 90.0% prediction interval on pavement deflection when the temperature is 75 °F. ] (Round your answers to 3 decimal places.) ] (Round your answers to 3 decimal places.)Adrenomedullin and pregnancy loss. The plasma levels of adrenomedullin for 38 women with recurrent pregnancy loss had a mean of 5.6 pmol/L and a sample standard deviation of 1.9 pmol/L, where pmol/L is an abbreviation of picomoles per liter. Find a 90% confidence interval for the mean plasma level of adrenomedullin for all women with recurrent pregnancy loss.In a survey, a random sample of teenagers were asked whether they have a sibling. The resulting confidence interval for the proportion of teenagers who have a sibling is (0.61, 0.91). What is the sample proportion, p'? Provide your answer below: p' =D