1.Describe all effects that happen for the two following situations. Sketch and briefly explain
the reason for each effect.
i) A capacitor
eason for each effect.
i) A capacitor creates an electric field which is then observed in another frame of reference. The
field is perpendicular to the direction of motion.
ii) A capacitor creates an electric field which is then observed in another frame of reference. The
field is parallel to the direction of motion.
iii) A long wire creates a magnetic field which is then observed in another frame of reference
moving along the wire.
Comment on what types of forces would be experienced by a charged particle (e.g. an electron)
that is stationary in the frames of the capacitor and wire. Discuss why fields parallel to the
direction of motion do not show any effect. Include appropriate diagrams and/or sketches.
2.Q1. Describe the demographic status of households/respondents. Use graph and cross tables to describe the demographic status in detail.
e the demographic status in detail.
Q2. What is the expenditure pattern of respondents by sex, education and occupation? Use appropriate statistical methods to describe the answer.
Q3. Does type of bank account affect income? Explain with the help of data and fig.
Q 4. What is relationship between age and different kind of expenditure (food, education and health)? Explain with the help of appropriate statistical results.
Q.5 Use the appropriate statistical methods to test the following null hypothesis:
a. There is no association between gender and occupation.
b. There is no significant relationship between income and expenditure.
c. There is no significant relationship between age and health expenditure.
d. There is no significant relationship between age and total expenditure.
e. Health expenditure of male is not significantly different from female.
Q 6. What is the impact of income and age on education expenditure, health expenditure and total expenditure? Explain with the help of regression analysis.
Research Project & Presentation
Your Task: Create a Google Drive Presentation that demonstrates your knowledge and understanding of significant concepts in
your knowledge and understanding of significant concepts in Biology and Chemistry. Describe the relationship of some or all of the significant concepts that you identify through the use of a specific example.
General Format of the Presentation:
Twelve Slides (Minimum).
Two Appropriate and Interesting Videos - length of the video must be reasonable and content must be focused.
Three interactive links must be included.
Appropriate and well-placed pictures and illustrations.
1 - 2 uses of audio recordings - i.e. you describing knowledge that contributes to your
Minimal use of text alone.
Multimedia used to convey knowledge and understanding on each slide.
3 Big Ideas in Biology - *must include the basic unit of life, the Cell, and why it is important to the structure, function, and evolution of life on Earth.
3 Big Ideas in Chemistry - *must include the basic unit of matter, the Atom, and why it is
important to the structure, function, and evolution of life on Earth.
Specific Example: Pick Your Own Example that combines some or all of your big ideas from Biology and Chemistry and describe how those big ideas affect the structure, function, and evolution of your example.
Example 1: The Ocean
Think of the ocean as a biome made up of non-living and living things.
How do your big ideas in biology and chemistry relate to the structure, function, and evolution of the oceans?
Include descriptions (examples) of the relationship between the non-living (chemistry) and living (biology) things in oceans.
Example 2: A Bear
Think of a bear as a living organism that is made up of and relies upon non-living (chemistry) and living (biology) things.
What is the bear made up of? Cells that form ________ that form _________ that form _________ that form the bear.
What does a bear eat? What nutrients does a bear get from the specific foods that it eats?
How do these nutrients (chemical elements of a bear’s diet) contribute to the growth, function, and structure of the bear?
**You may use one of the examples provided or pick your own.
Step 1: Identify 3 big ideas in Biology ( 1 idea must be the Cell, basic unit of life)
Step 2: Identify 3 big ideas in Chemistry (1 idea must be the Atom, basic unit of matter)
Step 3: Choose your specific example.
Step 4: Slide 1 - Project Title Slide.
Step 5: Slides 2 - 11 (minimum) - Body of Project.
Step 6: Slide 12 - Conclusion.
Step 7: Turn in your presentation for my revisions.
Step 8: Revise.
Step 9: Turn in your final research project presentation for grading.
4.AP Chem AB FRQ
A sample consisting of 50. mL of 0.400 M solution of the acid, HClO4, is titrated
titrated with a 0.200 M solution of the base, LiOH.
Write the balanced chemical reaction for neutralization reaction:
HClO4 (aq) + LiOH (aq) → LiClO4 (aq) + H2O (l)
Write the NET ionic equation for the neutralization reaction.
OH⁻ (aq) + H⁺ (aq) → H2O (l)
Compute the pH of the titration solution. Show your work
i) before any of the base is added
ii) after 25. mL of base is added
iii) after 50. mL of base is added
A student performs the titration with the same chemicals but with smaller volumes of each chemical . Which of the following titration curves could represent the titration. Explain
A because this entails a strong acid and a strong base.
A student performs a titration of an unknown acid with a strong base and gets the following titration curve:
a) The student consults the list of pKa of acids shown below. If the acid is listed in the table below, which is the most likely identity of the unknown acid? Explain.
7.2 x 10-4
1.8 x 10-5
4.3 x 10-7
2.0 x 10-9
The unknown acid is HBrO because the calculated Ka is in between 50^-4 and 50^-6 and 2.0 x 10^-9 lies in between them.
b) What is the initial molarity of the acid?
10^-3 = 0.001M
a) Describe the components and the composition of an effective buffer solution. Explain how the components of the buffer allow the buffer to maintain its pH.
An effective buffer solution has a weak acid and its conjugate base or a weak base and its conjugate acid. A buffer solution is most effective when the ratio of its component concentrations is close to 1, also when the pH is equal to the pka of the acid.; The components of the buffer allow the buffer to maintain its pH because buffers can absorb excess H+ions or OH– ions.
An employer is interviewing four applicants for a job as a laboratory technician and asks each how to prepare a buffer solution with a pH of 5.0. The following constants may be helpful: hydrazoic acid, pKa = 4.74 Boric acid, pKa = 9.23
Archita A. says she would mix equal molar solutions of hydrazoic (HN3) and sodium azide (NaN3) solutions.
Bradley B. says she would mix equimolar Boric acid (H3BO3) and HCl solutions.
Carlos C. says he would mix equimolar Boric Acid (H3BO3) and sodium dihydrogen borate (NaH2BO3) solutions.
Delia D. says he would mix equimolar hydrazoic Acid (HN3) and NaOH solutions.
b) Which of these applicants has given an appropriate procedure? Explain your answer
Delia because she is using Sodium hydroxide which results in a pH of 5. NaOH is a strong base and in order to have an effective buffer a weak acid must be incorporated which is the HN3.
c) Explain what is wrong with the erroneous procedures.
The rest all incorporate a strong acid and a strong base or a weak acid and a weak base which don’ result in an effective buffer.
d) The applicants have access to the 1 Liter volumes of each of the solutions listed above. They have access to graduated cylinders. In order to make 1.0 Liter of the correct 5.0 buffer solution, what volumes of the two chemicals must be mixed?
5.Exercise 4) A fair coin is tossed. If it lands heads, a fair four-sided die
is thrown (with values 2,3,4,7). If
2,3,4,7). If it lands tails, a fair six-sided die is
thrown (with values 3,4,5,6,7,9). Regardless of which die is used, Alice
eats n grains of rice, where n is the largest prime factor of the die result
(for example, the largest prime factor of 9 is 3).
(a) What is the conditional probability that the coin lands heads, given
that Alice eats three grains of rice?
(b) Suppose that the entire experiment is conducted twice on the following day (starting with a new coin toss on the second run-through).
What is the conditional probability that the coin lands heads on both
run-throughs, given that Alice eats a total of five grains of rice during the two run-throughs?
(Do not count the two grains from part (a) in part (b); we assume
two brand new experiments, each with a new coin toss. Start your
solution by defining a suitable partition of the sample space. Please
use an appropriate notation and/or justification in words, for each
value that you give as part of your solution.)
Exercise 5) Alice and Bob throw an unfair coin repeatedly, with probability 2/5 of landing heads. Alice starts with £2 and Bob starts with £3 .
Each time the unfair coin lands heads, Alice gives Bob £1 . Each time
the unfair coin lands tails, Bob gives Alice £1 . The game ends when one
player has £5 .
(a) Draw a labelled Markov chain describing the problem, and write
down a transition matrix P. Write down the communication classes,
and classify them as either recurrent or transient.
(b) Using the transition matrix, calculate the probability that Alice loses
all of her money in exactly four tosses of the unfair coin.
(c) Calculate the (total) probability that Alice loses all of her money
(before Bob loses all of his).
(d) Calculate the expected (mean) number of tosses of the unfair coin,
for the game to end.
6.Answer all of the following questions as fully and succinctly as possible. YOUR RESPONSES SHOULD BE BASED ON POSTED NOTES
BASED ON POSTED NOTES AND CLASS LECTURE ONLY. IF YOU USE/CITE OTHER SOURCES, POINTS WILL BE DEDUCTED. Most responses should be at least four sentences.
1. Summarize the "Solitary Confinement" video. After watching this video, do you believe that this form of punishment is appropriate and/or effective in rehabilitating criminals?
2. Based on class lecture/notes, summarize Ross Chambers theory regarding “unexamined" individuals in society.
3. How are gender, race and aging interrelated?
4. What are the strengths and drawbacks of capitalism? What are the strengths and drawbacks of socialism? How are politics and economics interrelated?
5. Summarize any section of the class lecture/notes that resonated most with you (and that you were not asked about on any formal assessment such as the mid-term examination or other assignment).
7.You and your classmates decide to sell sweatshirts and T-shirts to raise money for a school trip. You decide that
u decide that you should sell at least thirty items, but do not want to exceed 120 items. Based on a small survey of students, you also decide that the number of T-shirts should be at least twice the number of sweatshirts.
A. Assign variables to the unknown quantities and write a system of inequalities that model the given restrictions.
B. Graph the system, indicating an appropriate window and scale and shading the feasible region.
C. Determine the vertices of the polygonal feasible region.
D. Assume the profit on each sweatshirt is $5 and the profit on each T-shirt is $2. What is the maximum profit you can obtain?
E. How many sweatshirts and how many T-shirts should you sell to maximize your profit?
You are asked to carry out a study on behalf of a business analytics specialised consultancy on a subsample
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.
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
• Residuals analysis
• Cook’s distance
• 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
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