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- Samples are collected from the River X and pH values are observed. 9 different pH values arelisted in table 3.Table 3Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and finda. Bowley’s coefficient of skewnessb. Karl Pearson’s coefficient of skewnessc. Third momentRubricStages of Process MarksImagine and Plan 2Composition 2Effort 1Find kurtosis by using ungroup data given in the picture using quartile deviation, make sure to arrange data before solving question.It is known that the tensile strength of a plastic increases as a function of the time it is subjected to heat treatment. The table below shows the data of the plastic subjected to heat treatment. Determine these data by using the "lagrange interpolation" method by approximating the functions of the lagrange multipliers of L0 , L1 , L2 , L3 and L4 to a 4th order curve. Calculate the tensile strengths of 1.7321 and 2.2361 seconds for each lagrange factor in the function equations of the lagrange multipliers.
- ONLY THE LAST ONE Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.9 7.2 7.3 6.3 8.1 6.8 7.0 7.5 6.8 6.5 7.0 6.3 7.9 9.0 8.4 8.7 7.8 9.7 7.4 7.7 9.7 8.2 7.7 11.6 11.3 11.8 10.7 The data below give accompanying strength observations for cylinders. 6.5 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.3 7.8 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.9 Prior to obtaining data, denote the beam strengths by X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean μ1 and standard deviation σ1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean μ2 and standard deviation σ2. (a) Use rules of expected value to show that X − Y is an unbiased estimator of μ1 − μ2. E(X − Y) = E(X) − E(Y) = μ1 − μ2 E(X − Y) = E(X) − E(Y) 2 = μ1 − μ2 E(X − Y) = nm E(X) − E(Y) = μ1 − μ2 E(X −…To determine how climate change and habitat loss will influence Antarctic species, baseline estimates of population sizes and distributions are needed. To this end, a group of researchers estimated the population sizes of all breeding colonies of emperor penguins (Aptenodytes fosteri) along Antarctic coastlines using satellite imagery (Fretwell et al., 2012). For each breeding colony encountered, the researchers determined the latitude, longitude, and area (m2) of the colony, and estimated the total number of emperor penguins present. Then, they compared their colony size estimates to previously published estimates. Suppose the researchers want to determine if there is a linear relationship between the previous population estimates and the current population estimates, so they decide to conduct a two-tailed T test for no linear relationship. From 29 data points, they calculate the linear regression equation to be Y^ =925.25556+0.71001x where ?Y^ is the predicted current population…Calculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??
- The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process, involving the use of gold wire, is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false: a) Since only 4% of the 100 units were defective, we can conclude that the goal has been reached. b) Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached. c) There is no use in testing the new process, because no matter what the result is, it could just be due to sampling variation. d) If we sample a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.(a) Calculate a 95% two-sided CI for the true average bond strength. (b) Calculate a 95% two-sided CI for the proportion of all such bonds whosestrength values would exceed 10. show major intermediate steps.Test the hypothesis that the average weekly allowance of female and male ACC 215 students the same, at 5%l evel of significance. Weekly Allowance of Students (Php) Male: 1500 2000 2500 2500 2000 1750 2000 1800 Female:1500 2000 1750 1500 2000 2500 3000 3500 Ho: Ha: α = Decision Rule: Computation: Decision: Conclusion:
- A researcher hypothesizes that electrical stimulation of the lateral habenula will resultin a decrease in food intake (in this case, chocolate chips) in rats. Rats undergostereotaxic surgery and an electrode is implanted in the right lateral habenula. Followinga ten day recovery period, rats (kept at 80 percent body weight) are tested for thenumber of chocolate chips consumed during a 10 minute period of time both with andwithout electrical stimulation. The testing conditions are counter balanced. Compute theappropriate t-test for the data provided below.Stimulation No Stimulation12 87 73 411 148 65 714 127 59 510 8What probability level did you choose and why?What were your degrees of freedom?Is there a significant difference between the two testing conditions?Interpret your answer.If you have made an error, would it be a Type I or a Type II error? Explain youranswer.A researcher hypothesizes that electrical stimulation of the lateral habenula will resultin a decrease in food intake (in this case, chocolate chips) in rats. Rats undergostereotaxic surgery and an electrode is implanted in the right lateral habenula. Followinga ten day recovery period, rats (kept at 80 percent body weight) are tested for thenumber of chocolate chips consumed during a 10 minute period of time both with andwithout electrical stimulation. The testing conditions are counter balanced. Compute theappropriate t-test for the data provided below.Stimulation No Stimulation12 87 73 411 148 65 714 127 59 510 81. What is your computed answer?2. What would be the null hypothesis in this study?3. What would be the alternate hypothesis?4. What probability level did you choose and why?5. What were your degrees of freedom?6. Is there a significant difference between the two testing conditions?7. Interpret your answer.8. If you have made an error, would it be a Type I or a Type II…A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is less than 0.20. If the z− test statistic was calculated as z=−2.11, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.005. Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. powered by Move the blue dot to choose the appropriate test α=0.01 α=0.025 α=0.05 α=0.1 Significance level = 0.01 Select the correct answer below: There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.…
