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- Blood cocaine concentration (mg/L) was determinedboth for a sample of individuals who had died fromcocaine-induced excited delirium (ED) and for a sampleof those who had died from a cocaine overdose withoutexcited delirium; survival time for people in bothgroups was at most 6 hours. The accompanying datawas read from a comparative boxplot in the article“Fatal Excited Delirium Following Cocaine Use” (J.of Forensic Sciences, 1997: 25–31). ED 0 0 0 0 .1 .1 .1 .1 .2 .2 .3 .3.3 .4 .5 .7 .8 1.0 1.5 2.7 2.83.5 4.0 8.9 9.2 11.7 21.0Non-ED 0 0 0 0 0 .1 .1 .1 .1 .2 .2 .2.3 .3 .3 .4 .5 .5 .6 .8 .9 1.01.2 1.4 1.5 1.7 2.0 3.2 3.5 4.14.3 4.8 5.0 5.6 5.9 6.0 6.4 7.98.3 8.7 9.1 9.6 9.9 11.0 11.512.2 12.7 14.0 16.6 17.8 a. Determine the medians, fourths, and fourth spreadsfor the two samples.b. Are there any outliers in either sample? Any extremeoutliers?c. Construct a comparative boxplot, and use it as abasis for comparing and contrasting the ED andnon-ED samples.Three adhesives are being analysed for their impact on the bonding strength of paper in a pulp and paper mill. The adhesives are each randomly applied to four batches. The data is shown in Table 2. Here, the three treatments are the adhesives (p=3) and the number of replications for each treatment is 4 (r=4). Is there a difference among the adhesives in terms of the mean bonding strength? Test at the 5% significance level. Given F0.05,2,9 = 4.26 Adhesive Bonding strength (kg) type Adhesive 1 10.2 11.8 Adhesive 2 12.8 14.7 Adhesive 3 7.2 9.8 Table 2 Bonding strength data 9.6 13.3 8.7 12.4 15.4 9.2Four different formulations of an industrial glue are being tested. Each of the different formulations were randomly applied to joint parts of five test specimen and the tensile strength of the glue when it is applied to each test specimen is recorded. However, the tensile strength is also related to the application thickness. The data on the strength (in lbs) and thickness (in 0.01 inches) are shown in the following table. Identify the treatment (specify levels), experimental units, concomitant variable, and response variable.
- You are shown ZJKL below whose measure is 90°. Draw an angle bisector of ZJKL by clicking a dragging a ray out from the vertex at K. Click and drag to draw a ray from the yellow dot. To redraw, click and drag from the yellow dot again. mZJKL = 90° mZJKM = 45° m/LKM = 45° L CPolyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The principal dietary polyunsaturated fat is linoleic acid. Suppose we randomly selected twelve adults for our study. We took their blood pressure measurements (systolic blood pressure) at the start and recorded them for each adult. Then we placed required these adults to consume 23g/day of safflower oil which is high in linoleic acid for four weeks. At the end of the four weeks, we took another systolic blood pressure(SBP) measurement. The paired data is provided below: Subject 1 2 3 4 5 6 7 8 9 10 11 12 Baseline SBP 119.67 100.00 123.56 109.89 96.22 133.33 115.78 126.39 122.78 117.44 111.33 92.39 1-month SBP 117.33 98.78 123.83 107.67 95.67 128.89 113.22 121.56 126.33 110.39 107.00 93.06 Use the appropriate nonparametric test at alpha level of 0.05, to test whether the diet heavy in linoleic acid increases systolic blood pressure (SBP).ABC Cookie Company takes samples of finished boxes of cookies weighing them to make sure the weight filled stays within the targeted amount. Some variation of course, is to be expected. But too much presents a production issue. Your job is to find out if this process is stable enough to continue. Samples are taken for 20 days. The number of boxes checked each day is 100. The 20 samples measured reveal the following proportions found to have defective weights: Sample Number Of Defectives Proportion Defective 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0.06 0 0.00 4 0.04 10 0.10 6 0.06 4 0.04 12 0.12 10 0.10 8 0.08 10 0.10 12 0.12 10 0.10 14 0.14 8 0.08 6 0.06 16 0.16 12 0.12 14 0.14 20 0.20 18 0.18 Complete the following: Calculate the centerline (CL), upper control limit (UCL), and the lower control limit (LCL) for a P- Chart. You can use the Excel template to work through this problem. Create a control chart, showing the CL, LCL, and…
- Is the number of games won by a major league baseball team in a season related to the team's batting average? Data from 14 teams were collected and the summary statistics yield:∑Y= 1,134, ∑X = 3.642, Σ(Y−Yhat)2 = 1011.06, ∑(X−Xbar)2 = .00118, and ∑(X−Xbar)(Y−Ybar) = 295.54Estimate σ.The Environmental Protection Agency (EPA) has collected data on LC50 measurements (concen- trations that kill 50% of test animals) for certain chemicals likely to be found in freshwater rivers and lakes. For certain species of fish, the LC50 measurements (in parts per million) for DDT in 12 experiments were as follows: 16, 5, 21, 19, 10, 5, 8, 2, 7, 2, 4, 9 Assume that the LC50 measurements have an approximately normal distribution. Construct a 95% confidence interval for the true mean LC50 for DDT.Two subspecies of dark-eyed juncos were studied by D. Cristol et al. One of the sub- species migrates each year, and the other does not. Several characteristics of 14 birds of each subspecies were measured, one of which was wing length. The following data, based on the results of the researchers, provide the wing lengths, in millimeters, for the samples of two subspecies. Assume that wing lengths in populations of subspecies are normally distributed.Migratory: n = 14, x ̄ = 82.1, s = 1.5 111Non-migratory: n = 14, x ̄ = 84.92, s = 1.69 222Conduct a hypothesis test to determine if the average wing lengths in two populations of subspecies are significantly different.(i.) State the hypotheses.(ii.) Test for equality of unknown population variances. (iii.) Calculate test statistic.(iv.) Calculate degrees of freedom.(v.) Calculate the p−value of the test.(vi.) State your decision based on the p−value.(vii.) Write the interpretation
- Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The principal dietary polyunsaturated fat is linoleic acid. Suppose we randomly selected twelve adults for our study. We took their blood pressure measurements (systolic blood pressure) at the start and recorded them for each adult. Then we placed required these adults to consume 23g/day of safflower oil which is high in linoleic acid for four weeks. At the end of the four weeks, we took another systolic blood pressure(SBP) measurement. The paired data is provided below: Subject 1 2 3 4 5 6 7 8 9 10 11 12 Baseline SBP 119.67 100.00 123.56 109.89 96.22 133.33 115.78 126.39 122.78 117.44 111.33 92.39 1-month SBP 117.33 98.78 123.83 107.67 95.67 128.89 113.22 121.56 126.33 110.39 107.00 93.06 Use the appropriate nonparametric test at alpha level of 0.05, to test whether the diet heavy in linoleic acid increases systolic blood pressure (SBP). Use Steps 0-5Determine your independent and dependent variables, which type of ANOVA would you choose, and how much replication would be needed. Farmer Joe has eight different plots of land. He applies two different nitrogen levels randomly to each of the 8 plots, low and high. In addition, four different strawberry varieties are randomized within the plots. He is measuring mass of fruit for his outcome. I would like to see if there is a difference in birth weight among cat breeds. I will measure 5 different cat breeds.An experiment was designed with the intention of studying the treatment with urea and aqueous ammonia of the ear of wheat. The purpose was to improve the nutritional value for male ewes. The dietary treatments were: control, urea in the feed, spike treated with ammonia, spike treated with urea. In the experiment, 24 sheep were used and they were separated according to their relative weight into 6 groups. The digested dry matter measured in percentage was recorded and it is known: (image) Find Blocking factor, number of experimental runs, Experimental unit, Response variable and factor of interest