Body height and arm span are related quantities; taller people generally have longer arms. One rule of thumb says that adult height is nearly equal to adult span. The arm spans of 10 adults were measured in centimeters. Height 171 175 177 178 180 182 190 192 195 202 Span 173 178 182 182 188 185 186 198 193 202 At a =0.05, does the data indicate that the heights and arm spans are equal? A. Determine the critical value. B. Determine the test statistic.
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- A real estate agent suggests that the median rent for one-bedroom apartment in a community is $325 per week. A sample of 12 one-bedroom homes shows the following weekly rents. At α =0.05, is there enough evidence to reject the agent's claim? $420 $460 $514 $405 $320 $435 $350 $531 $450 $560 $309 $325 A. Determine the critical value.The data given below indicate the existence of a linear relationship between the x and y variables. Suppose an analyst who prepared the solutions and carried out the RI measurements was not skilled and as a result of poor technique, allowed intermediate errors to appear. The results are the following:Concentration of solution in percent (x) 10 26 33 50 61Refractive indices (y) 1.497 1.493 1.485 1.478 1.477Step 1. Carefully plot the given x and y values (from the table) on a regular graphing paper. Label then connect the points to observe a zigzag plot due to the scattered points. Step 2: Copy and fill the table given below: x (x - x̄) (x - x̄) 2 y (y - ȳ) (y - ȳ) 2 (x - x̄) (y - ȳ) 10 1.497 26 1.49333 1.48550 1.47861 1.477∑ = ∑ = ∑ = ∑ = ∑ = ∑ = ∑ =x̄= ∑xi ÷ Nx̄= ȳ = ∑yi ÷ Nȳ = Step 3. After completing the table, present following computations and the interpretation.a. Calculate the correlation coefficient (r), using the working formula: r =Σ (x − x ) (y − ȳ)√(Σ(x − x )2)(Σ(y −…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.
- You hypothesize that younger adults are more stressed than all other age groups. You compare stress levels between three groups: Young adults, middle aged adults, and older adults. You collect data in 30 individuals and your data is as follows: Young Adults Middle Aged Adults Older Adults 100 100 50 50 95 56 84 95 55 70 80 85 75 75 35 85 60 60 62 55 30 30 100 25 100 64 75 100 78 60 What is the critical value of f with α = .05?The results of an independent-measures research study are reported as "t(20) = 2.12, p < .05, two tails." For this study, what t values formed the boundaries for the critical region?What is the critical value? Wj\hat is the p value?
- Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q = 2.1 ± 0.2 cm. Estimate f, and find the relative uncertainty in the estimate.The results of an independent-measures research study are reported as “t(22) = 2.12, p < .05, two tails.” For this study, what t values formed the boundaries for the critical region? a. ±2.080 c. ±2.069 b. ±2.074 d. ±2.064A series of tests of fire prevention sprinkler systems that use a foaming agent to quell the fire were performed to determine how long it took (in seconds) for the sprinklers to be activated after the detection of a fire by the system. The system has been designed so that the true average activation time is supposed to be at most 25 seconds. Do the data strongly indicate that the design specifications have not been met? The data for the test are given below: 27 41 22 27 23 35 30 33 24 27 28 22 24
- Determine the critical value if given: n1 = 25; n2 = 22:; HA : µ < 5 and the level of significance is 10%Second-Hand Smoke: Data Set 12 “Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke. Construct the confidence interval appropriate for the hypothesis test in part a. What do you conclude about the effects of second-hand smoke?Referring to Table 1, the critical value(s) is (are) ________. Question 3 options: 1) 56 2) 0.000859 3) 6.37169 4) 2.76943