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.
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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.
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- The yield of alfalfa from a random sample of six test plots is 1.4, 1.6, 0.9, 1.9, 2.2,and 1.2 tons per acre. Assume the data can be looked upon as a sample from anormal population. Test at the 0.05 level of significance whether this supports thecontention that the average yield for this kind of alfalfa is 1.5 tones per acre.The strength of concrete depends, to some extent, on the method used for drying. Two different drying methods showed the following results for independently tested specimens (measurements in psi): Do the methods appear to produce concrete with different mean strengths? ? Use a= 0.05 . Method I n! = 37 x̄! = 3.25 s! = 2.10 Method II n! = 40 x̄!= 3.24 s!= 1.90Fourteen ion-selective electrodes were used to measure Ca2 in the same solution with the following results: [Ca2] 1.24, 1.13, 1.20, 1.20, 1.30, 1.12, 1.27, 1.19, 1.27, 1.22, 1.23, 1.23, 1.25, 1.24 mM. Find the 95% confidence interval for the mean. If the actual concentration is known to be 1.19 mM, are the results of the ion-selective electrode within experimental error of the known value at the 95% confidence level?
- It is of interest to determine if the average drying time of a certain brand of latex paint is not 4.5 hours. To do this, 15 cans of the branded latex paint were selected. Normality test of drying time of the branded latex paint: Shapiro-Wilk normality test data: drying time W = 0.9691, p-value = 0.1396 Which of the following is(are) TRUE at 5% level of significance? I. The assumption on the normality of drying time of the branded latex paint is NOT SATISFIED. II. To determine if the average drying time of a certain brand of latex paint is not 4.5 hours, a NONPARAMETRIC TEST is more appropriate to use than a parametric test. Choices: I only, II only, Both I and II, Neither I nor IIIt is of interest to determine if the average drying time of a certain brand of latex paint is not 4.5 hours. To do this, 15 cans of the branded latex paint were selected. Normality test of drying time of the branded latex paint: Shapiro-Wilk normality test data: drying time W = 0.9691, p-value = 0.1396 Which of the following is(are) TRUE at 5% level of significance? I. If the p-value of the appropriate test is 0.00412, the conclusion is "there is sufficient evidence to say that the average drying time of a certain brand of latex paint is NOT 4.5 hours. II. Suppose that the 95% confidence interval for the true mean drying time of a certain brand of latex paint is [3.25,4.32]. The NULL HYPOTHESIS WILL BE REJECTED since the hypothesized value of the mean of 4.5 is not within the constructed interval. A. I only B. II only C. Both I and II D. Neither I nor IIWhich of the following would probably NOT be a potential “cure” for non-normal residuals? Select one: a. Transforming two explanatory variables into a ratio. b. Removing large negative residuals. c. Removing large positive residuals. d. Using a procedure for estimation and inference which did not assume normality.
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- In a test for acid rain, a random sample of 49 water samples showed a mean pH level of 4.4 with a standard deviation of 0.35. Find a 90% confidence interval estimate for the mean pH level. O a. O b. O C. O d. O e. 0.35 4.4 ± 1.677 (0,25) 49 4.4 +1.645 4.4 + 1.677 (0.35)(0.65) 500 4.41.645 (0.35) (0.65) 500 4.4 ± 1.645 (0:35) 49 0.35 49-1A proposed method for the determination of the oxygen demand of wastewater was compared with the standard method. The following results were obtained for a effluent sample: Mean Standard Deviation Standard Method : mean = 72.0 standard deviation: 3.31 n = 8 Proposed Method : mean=72.0 standard deviation =1.51 n = 9 Is the precision of the proposed method significantly greater than that of the standard method? alpha = 0.05The strength of concrete depends, to some extent, on the method used for drying. Two different drying methods showed the following results for independently tested specimens (measurements in psi): Do the methods appear to produce concrete with different mean strengths? Use � = 0.05 .