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- Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6Is the given statement true or false? Justify your answer. If a police officer wants to find whether the average speed of motorists a highway with speed limit of 55 mph, the null hypothesis is 55.A company that manufactures rivets believes the shear strength (in pounds) is modeled by N(750,30). Use the 68–95–99.7 Rule to complete parts a) through c) below. a) Draw and label the Normal model. b) Would it be safe to use these rivets in a situation requiring a shear strength of 720 pounds? Explain. Choose the correct answer below. A. No, because about 32% of all of this company's rivets have a shear strength of less than 720 pounds. B. Yes, because very nearly all of this company's rivets have a shear strength of more than 720 pounds. C. No, because about 16% of all of this company's rivets have a shear strength of less than 720 pounds. D. Yes, because only about 2.5% of all of this company's rivets have a shear strength of less than 720 pounds. c) About what percent of these rivets can be expected to fall below 810 pounds?
- Which model—the one for parliaments or the one for ministries (or cabinets)—presented in the article has the greater explanatory power? How can you tell?Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?The article “Effect of Varying Solids Concentration and Organic Loading on the Performance of Temperature Phased Anaerobic Digestion Process” (S. Vandenburgh and T. Ellis, Water Environment Research, 2002:142–148) discusses experiments to determine the effect of the solids concentration on the performance of treatment methods for wastewater sludge. In the first experiment, the concentration of solids (in g/L) was 43.94 ± 1.18. In the second experiment, which was independent of the first, the concentration was 48.66 ± 1.76. Estimate the difference in the concentration between the two experiments, and find the uncertainty in the estimate.