.A study was conducted to determine the level of cyanide in 20 exposed spot (soil and water) within the mine site are listed below: Spot Soil Water Spot Soil Water 1 2.5 4.9 11 1.8 4.2 2 6.9 7.0 12 1.8 1.1 3.1 5.9 13 6.0 10.0 4 3.3 2.9 14 20.0 11.0 2.1 4.4 15 3.0 5.5
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- Listed below are amounts of strontium-90 (in millibecquerel mBq) in a simple random sample of baby teeth. 128, 130, 133, 137, 138, 142, 142, 144, 147, 149, 151, 151, 151, 155, 156, 161, 163, 163, 166, 172 Construct a boxplot and identify the 5-number summary.If the C/PEL of 12 samples taken from the same spot in the factory were reported by a laboratory as follows 0.84,0.87,0.91,0.95,0.98,0.99,1.04,1.06,1.09,1.11,1.14,1.16 Calculate the CV of the above analytical data. Calculate the LDV5% and UDV5% values for your chemical.18. What is the significant level (in %)?
- To evaluate the coagulation effects of three drugs, 30 healthy volunteers were randomly assigned into 3 groups and injected with different drugs. Their relevant coagulation times were measured as follows A(group=1): 36.8 34.4 34.3 35.7 33.2 31.1 34.3 29.8 35.4 31.2B(group=2): 40.0 35.5 36.7 39.3 40.1 36.8 33.4 38.3 38.4 39.8C(group=3): 32.9 37.9 30.5 31.1 34.7 37.6 40.2 38.1 32.4 35.6Questions: ① If you want to evaluate whether the coagulation effects of the three drugs are different, which method should be used? and what are the model assumptionsfor the application of this method?② Compare the difference of the coagulation effects among three drugs by SPSS,present the main results and make interpretation.③ Make pairwise comparisons of the efficacy of the three drugs, write out the method of pairwise comparison you adopted (just write one method) and the corresponding p-values.The use of preservatives by food processors has become a controversial issue. Suppose 2 preservatives are extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 15 cuts of fresh meat are treated with preservative A and 15 are treated with preservative B and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. The results are summarized in the table below. Preservative Type Sample Size Sample Mean Sample Standard Deviation A 15 106.4 hours 10.3 hours B 15 96.54 hours 13.4 hours a. At 0.05 level of significance test if the population variances differ for preservatives A and B. b. Use the result in (a) to test if the population means differ for preservative A and B at 0.05 level of significance.Suppose that 3000 drivers in Wakanda were randomly breath-tested on 21 April 2019 and 116 were above the limit of 0.05 blood- alcohol level. On 15 May 2019, 4000 drivers were tested and 98 were above this level. 1.3.1 What additional information would you require before trying to draw conclusion from these data? (5) 1.3.2 What factors, other than a real change in driver behaviours, could cause such a drop in the proportion of above-the-limit drivers. (6) 1.4 A set of data has an interquartile range of 20 and a lower quartile of 6. If the data is symmetrical, calculate the value of the median.
- The Department of Natural Resources (DNR) received a complaint from recreational fishermen that a community was releasing sewage into the river where they fished. These types of releases lower the level of dissolved oxygen in the river and hence cause damage to the fish residing in the river. An inspector from the DNR designs a study to investigate the fishermen’s claim. Fifteen water samples are selected at locations on the river upstream from the community and fifteen samples are selected downstream from the community. The dissolved oxygen readings in parts per million (ppm) are given in the following table.Upstream 5.2 4.8 5.1 5.0 4.9 4.8 5.0 4.7 4.7 5.0 4.6 5.2 5.0 4.9 4.7, Downstream 3.2 3.4 3.7 3.9 3.6 3.8 3.9 3.6 4.1 3.3 4.5 3.7 3.9 3.8 3.7 a.In order for the discharge to have an impact on fish health, there needs to be at least a 0.5 ppm reduction in the dissolved oxygen. Do the data provide sufficient evidence that there is a large enough reduction in the mean dissolved oxygen…In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 20 met the particulate emission standard. What is the test statistic to see whether the proportion is below the requirement?Wertheretal et al. examined the β-leucocyte count (/ L) in 51subjects with colorectal cancer and 19 healthy controls. The cancer patients were also classified into Dukes’s classification (A,B,C) for colorectal cancer that gives doctors a guide to the risk, following surgery, of cancer coming back or spreading to other parts of the body. An additional category (D) identified patients with disease that had not been completely resected. The results are displayed in the following table. Perform an analysis of these data in which you identify the sources of variability and specify the degrees of freedom for each. Do these data provide sufficient evidence to indicate that, on average, leucocyte counts differ among the five categories? Let α=0.01 . Write the null and alternative hypotheses of this study. Test the claim using the ANOVA Table. If you reject the null hypothesis, interpret your results using multiple comparison test Bonferroni. What assumptions must be made in part (b)? Are they…
- Suppose a researcher is interested in the relationship between periodontal disease and a number of negative health outcomes. One outcome of particular interest to the researcher is hypertension (assume defined as systolic blood pressure above 140 mmHG). Suppose a team gathers a SRS of 348 participants with periodontal disease, and finds the sample average systolic blood pressure to be 157 mmHG. A) Using an assumed σ=16 mmHG, conduct a 1 sample Z test to determine if there is a relationship between periodontal disease and hypertension in this population. (Use α=0.05)Suppose that in the previous semester, the percentages of students in the five sections of ECO 204 were 20%, 21%, 19%, 15% and 25%. However, in the current semester, among a sample of 200 students, the student distribution among five sections is 51, 49, 30, 20 and 50. Can we conclude that there has been a statistically significant change in the student proportions?The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?
