Determine the value of x to the nearest metre

(CHO) cell lines. Compressed air is continuously supplied for 2 weeks with a flow rate of 0.05 m3/min and velocity of 0.31 m/sec into a 2.5 L medium. It is found that the air provided contain 2.8 x 10 5 CFU/m3 of contaminants. Determine the dimension of the filter used, if the X90 value for cotton wool is 1.5 cm.

ty distribution: x 3 5 8 10 pX(x) k k k 2k i. Determine the constant k and hence write down the probability distribution of X. ii. Find E(X), the expected value of X. iii. Find Var(X), the variance of X.

two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object. (a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing). Fill in the blanks for the null and alternative hypotheses. H0 : Ha : (b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.) (c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.) (d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation. (e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer. (f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly. 1 (g) (5 points) (h) (3 points) question? (i) (4 points) (j) (4 points) A. B. C. Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous How would you interpret the confidence interval that you found in part (g)? Which of the following is a correct interpretation of the 95% confidence level? If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective. About 95% times Augie chooses the correct objective. If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective. (k) (4 points) object 21 out of 35 times. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. The center of the confidence interval would . The width of the confidence interval would . (l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. Suppose that we repeated the same study with Augie, and this time he chose the correct The center of the confidence interval would The width of the confidence interval would . .

algebraic equation for the value of the coin over time. b) When will the coin be worth $1344.69 ?

units. Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2] Mass of Reactants and Products: a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1] b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1] c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1] Moles of Products: a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1] b) Calculate the moles of water released from the hydrate. {T1] 4. Mole Ratio a) Create an experimental mole ratio between the b) and a). [T1] 5. Formula of Hydrate: State the chemical formula you have determined for this hydrate. Round the formula to the closest whole number value for x. [T1] Discussion/Conclusion Questions: [T6] Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2] A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same). Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]

van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex and Esther are identical. Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the market. a) Given this information, which couple has the higher opportunity cost of home produced goods? Explain how you determined this. You can add a diagram if that helps, but you are not required to include one. b) Can you determine which couple has the higher utility? Explain why or why not. Suppose now that value of market production for both Alex and Esther increased to $12/per hour. c) Explain the change in the household joint production possibility frontier generated by this change. d) Explain what would happen to each couple’s choice of both household and market produced goods, using an analysis by means of income and substitution effects. e) What changes in time allocation for each couple that would be necessary to produce and consume this new bundle? Briefly explain your reasoning.

Determine the value of x if f(x)=−17 x =

eople experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 14 people, based on means and standard deviations given in the article. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than 20 pounds. Use the =α0.10 level of significance and the critical value method. 22.5 28.5 7.6 24.1 21.5 12.9 17.3 21.2 37.6 33.8 12.1 36.3 24.1 19.4

nt x=1. Also determine range of function.

on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket. Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including: • Low spender (shopping basket value of £25 or less) • Medium Spender (shopping basket value between £25.01 and £70) and • High spenders (shopping basket greater than £70) For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix. Requirements After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details. Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results. Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any). Part B: A technical report on the various stages of the analysis (80 per cent). The analysis should be carried out using the range of analytics tools discussed: • SPSS Statistics Ensure that the exercise references: • Binary and multinomial logistic regression • Linear vs Logistic regression • Logit Model with odds Ratio • Co-efficients and Chi Squared • MLR co-efficients • Assessing usefulness of MLR model • Interpreting a model • Assessing over-all model fit with Psuedo R-Squared measures • Classification accuracy (Hit Ratio) • Wald Statistic • Odd ratio exp(B) • Ratio of the probability of an event happening vs not happening • Ratio of the odds after a unit change in the predictor to the original odds • Assumptions • Residuals analysis • Cook’s distance • DfBeta • Adequacy (with variance inflation factor VIF and tolerance statistic) • Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?) • Check for multicollinearity • Parsimony Write a short and concise report to explain the technical detail of what you have done for each step of the analysis. The report should also cover the following information: • Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be • Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of • Conclusions and explanation, in non-technical terms, of the main points

jar in his room. He currently has 45 coins Determine a total value for the coins. Ask a question about the coins to create a problem to solve.

has zeros at (2, 0) and (- 6, 0) and passes through the point (3, 5) . Determine the value of a.

rd deviation of 20. Determine the value of x such that 5% of the values are less than x.

the maximum vol- ume it can enclose using only ten square meters of material. Assum- ing no material is wasted in the process and that edges can be joined by butting them together (so no overlap is required), determine di- mensions of the box so that this maximum volume is achieved and the value of this volume.

between the number of wheels on a train and the number of cars being pulled by the engine of the train. Note: (All the cars have the same number of wheels but the engine at the front is different) . for exapmle: the train has an engine with four wheels on each side (total of 8) and the cars have 2 (total 4) on each side. Determine the number of wheels the engine has by finding the number of wheels on each car, and then the initial value of this relationship.

15-2x) BCA=(6x-35) CAB=( 10x-40)

ch as 44,46,48,50,52,54,56 .. 1) determine what percent of the students are taller than 55 inches? 2) determine cut off value for the shortest 25% ? (round your answer for 2 to 4 decimals) ?

ure. A feed flowrate of 2500 kmol/h is fed to the distillation column. A distillate flowrate of 1358.70 kmol/h containing 96 mol% benzene and a bottoms composition of not more than 4 mol% benzene is desired. Reflux ratio is 2. The mole fraction of vapour leaving a plate and the mole fraction of liquid entering the same plate in the stripping section is 0.42 and 0.3, respectively. The equilibrium curve for the benzene-toluene system at 1 atm is given in Figure A4. Solve graphically using the equilibrium curve and determine the feed composition, quality of feed (i.e. feed is saturated liquid, saturated vapour etc.) and the value of q.