1. The annual precipitation measurements (Pi in cm) for M city, over a 20year period are shown in the following table. Determine the mean, standard deviation, and skew coefficient for this series.

2. Annual precipitation measurements (Pi in cm) for M City, were given in Problem 1. Determine the magnitude of the 10-year precipitation depth if the data fit:

1. the normal distribution.
2. the Gumbel distribution.

How many times was the P10 (normal) exceeded in the 20-year annual precipitation record given in Problem 1 ?

Please clarify each step of the solution

1. The annual precipitation measurements (Pi in cm) for M city, over a 20year period are shown in the following table. Determine the mean, standard deviation, and skew coefficient for this series.

2. Annual precipitation measurements (Pi in cm) for M City, were given in Problem 1. Determine the magnitude of the 10-year precipitation depth if the data fit:

1. the normal distribution.
2. the Gumbel distribution.

How many times was the P10 (normal) exceeded in the 20-year annual precipitation record given in Problem 1 ?

Please clarify each step of the solution

1. The annual precipitation measurements (Pi in cm) for M city, over a 20year period are shown in the following table. Determine the mean, standard deviation, and skew coefficient for this series.

2. Annual precipitation measurements (Pi in cm) for M City, were given in Problem 1. Determine the magnitude of the 10-year precipitation depth if the data fit:

1. the normal distribution.
2. the Gumbel distribution.

How many times was the P10 (normal) exceeded in the 20-year annual precipitation record given in Problem 1 ?

Please clarify each step of the solution

High-School Confidential

Notes on Teen Movies

David DENBY

More info:

David Denby (b. 1943), who lives in New York City, is a staff writer and film critic for the New Yorker and the former film critic for New York. His writing has also appeared in the Atlantic, the New York Review of Books, and the New Republic. His first book, Great Books: My Adventures with Homer, Rousseau, Woolf, and Other Indestructible Writers of the Western World (1996), was a finalist for the National Book Critics Circle Award. Denby is also the editor of Awake in the Dark: An Anthology of Film Criticism from 1915 to the Present (1977), American Sucker (2004), and Snark (2009). The essay that follows was originally published in the New Yorker in May 1999.

What is Denby's opinion of teen movies? Does he find anything redeeming in them?

Use quotes from the reading to support your ideas.

The article “Determination of Carboxyhemoglobin Levels and Health Effects on Officers Working at the Istanbul Bosphorus Bridge” (G. Kocasoy and H. Yalin, Journal of Environmental Science and Health, 2004:1129–1139) presents assessments of health outcomes of people working in an environment with high levels of carbon monoxide (CO). Following are the numbers of workers reporting various symptoms, categorized by work shift. The numbers were read from a graph.

Can you conclude that the proportions of workers with the various symptoms differ among the shifts?

(a) State the appropriate null hypothesis.

(b) Compute the expected values under the null hypothesis.

(c) Compute the value of the chi-square statistic.

(d) Find the p-value. What do you conclude?

Stocks A and B have the following historical returns:

(a) Calculate the average rate of return and standard deviation of returns (as percents) for each stock during the 5-year period. (Round your standard deviations to two decimal places.)

stock A average rate of return %

standard deviation %

stock B average rate of return %

standard deviation %

(b) Assume that someone held a portfolio consisting of 50% of stock A and 50% of stock B and that the average annual realized returns and past volatility of each stock are unbiased estimators of their expected returns and future volatility. What is the portfolio's expected return and the volatility of next year's returns (as percents)? The correlation between the returns of the two stock is 90.83%. (Round your answers to two decimal places.)

expected return %

volatility %

Part 2: t-Procedures

In this part, we will use t-procedures. t-procedures are both confidence intervals and hypothesis tests that

use a t distribution. They are called t-procedures because they rely on a t-test statistic and/or a t-critical

value, so we only need to know the results of a sample in order to perform these procedures for a population

mean.

In Part 2, you will use the data file TempSample00-18.

(THIS IS THE DATA)

YEAR,Month,High Temperature

2000,Jan,45

2000,Jan,48

2001,Jan,49

2003,Jan,62

2003,Jan,53

2004,Jan,42

2004,Jan,47

2005,Jan,40

2005,Jan,47

2006,Jan,48

2006,Jan,47

2007,Jan,51

2007,Jan,34

2007,Jan,47

2009,Jan,50

2011,Jan,35

2012,Jan,44

2013,Jan,38

2013,Jan,53

2013,Jan,42

2014,Jan,58

2014,Jan,47

2014,Jan,44

2015,Jan,52

2016,Jan,44

2017,Jan,49

2018,Jan,54

2000,Feb,48

2001,Feb,47

2004,Feb,47

2007,Feb,51

2008,Feb,51

2008,Feb,55

2011,Feb,45

2014,Feb,37

2014,Feb,54

2014,Feb,58

2015,Feb,54

2017,Feb,52

2017,Feb,44

2017,Feb,45

This includes an SRS of daily temperature highs from January and February from the years 2000-2018

(i.e. "recent" highs). The distribution of "recent" daily high temperatures is approximately Normal.

2.1 Getting Started

2.1.1 Understanding the Set-Up

1) Describe the intended population?

2) Describe the sample?

3) Describe the variable of interest?

4) Describe the parameter of interest (in context)?

5) Describe the statistic of interest (in context)? Give a numerical value along with your description.

Round to two decimal places.

2.1.2 Checking Conditions

1) Check that the conditions for using t-procedures are satisfied. If they are not, discuss whether or not it is reasonable to use t-procedures.

2.2 Confidence Intervals

2.2.1 Motivating Question: Confidence Intervals

In 2.2, we will try to answer the question:

What is the average daily temperature high in Portland, OR for the

months of January and February during 2000-2018?

2.2.2 Confidence Interval

1) What degrees of freedom are needed?

2) What critical value is used to compute a 95% confidence interval?

3) Give the 95% confidence interval. Round to two decimal places.

4) Interpret your 95% confidence interval.

2.2.3 Wrap Up

1) Answer the motivating question in 2.2.1.

2.3 Hypothesis Tests (Tests of Significance)

2.3.1 Motivating Question: Hypothesis Tests

In 2.3, we will try to answer the question:

Is there evidence to suggest that the average daily temperature high in Portland,

OR for the months of January and February during 2000-2018 is different than

the historical average of 48.35◦F?

2.3.2 Hypothesis Test

1) Perform a hypothesis test for α = .01. Be sure to interpret your p-value in context.

2.3.3 Wrap Up

1) Answer the the motivating question in 2.3.1.

2.4 Final Remarks

1) Based on the data found in Part 2, what would you say about the daily high temperature for "recent"

years compared to "historical" years?

Marketing in Action Case Real Choices at American Express What do Robert DeNiro, Ellen DeGeneres, Tiger Woods, Kate Winslet, and Laird Hamilton have in common? Let’s see, Robert DeNiro is one of the greatest living actors; Ellen DeGeneres is a famous comedienne; Tiger Woods is arguably the best golfer ever; Kate Winslet is a multiple Academy Award nominee; and Laird Hamilton is perhaps the greatest surfer who ever lived. However, being famous and best in their fields are not the only things these folks have in common. They also all carry the American Express credit card and have appeared in television or print commercials to promote the card in the company’s “My Life, My Card” campaign. The fast pace of today’s busy lifestyles and the rapid changes in information technology mean that, more than ever, companies like American Express have to rely on the familiar faces of celebrities to get its messages across. In late 2004, American Express started to feature famous and recognizable people as attractive spokespersons in the

“My Life, My Card” advertising campaign in an attempt to capture the attention of current and potential consumers. Each of the AMEX ads in- cluded brief biographical information on the celebrity such as where they live, profession, greatest triumphs or greatest dis- appointments, and basic philosophy on life. The final point of each ad showed how the American Express card helps enable individuals to pursue what is important to them. American Ex- press sought to communicate to its current and potential cus- tomers that they are just like these celebrities—simply trying to live life at its best. So, the slogan of “My Life, My Card” was perfect for the ad campaign. Consumers loved the ads. Unfortunately for American Express, its “My Life, My Card” advertising campaign had some serious competition. Visa had been running ads for some time with the slogan of “Life takes Visa,” which is a clever variation on Amex’s campaign theme. American Express’s other main competitor, MasterCard, was us- ing its “Priceless” theme commercials that are aimed at encour- aging customers to use the card to create priceless moments. In the end, however, the “My Life, My Card” campaign, while well-liked, really wasn’t working. Measures of customer loyalty showed that American Express was first in its product category in 1997, but by 2007, the American Express card was fifth, trailing Discover, Capital One, Visa, and MasterCard. So in 2007, American Express replaced its “My Life, My Card” ads with a campaign that that presented a productori- ented approach rather than the general image-oriented ap- proach. New ads asked consumers the question, “Are you a cardmember?” Historically, American Express has not switched campaigns quickly. The “Do you know me?” campaign ran from 1974 to 1987 and is still a well-known advertising saying. “Membership has its privileges” was used from 1987 to 1996, and the “Do More” campaign ran from 1996 to 2004. With only three cam- paigns in thirty years, how could consumers respond to this quick change of focus? Was American Express risking confusing consumers about American Express’s positioning? And what if the new “Are you a cardmember?” campaign didn’t improve loyalty ratings. Should American Express move quickly to de- velop still another new campaign or stick with this one?

Answer the question?

1. What is the decision facing American Express?
2. What factors are important in understanding this decision situation?
3. What are the alternatives?
4. What decision(s) do you recommend?
5. What are some ways to implement your recommendation?

PURPOSE

The purpose of this assignment is to develop learners’ ability to analyse data and discuss the differences between the types of statistics.

REQUIREMENT

The following data represent the marks of the Statistic subject obtained by 25 students in mid semester examination. Use this data to answer the following questions:

Based on the information from the table above:

1. Discuss at least four (4) clear differences between quantitative and qualitative data. Provide sufficient and relevant examples.

2. Classify and analyse the data above using the methods correctly. Show clearly the raw result of the data analysis as follows:

1. Frequency distribution uses “0 but less than 5”
2. Class-boundary and Class Mid-point
3. Relative Frequency
4. Cumulative Frequency

(iii)      Based on the data, prepare the following:

• Arrange the results clearly in order
• Use tables to present the results
• Use suitable graphs to present the results.

4. Provide a clear and detailed write up to present the data from the analysis.  

[Total: 60 marks]

Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I such that there is a constant current density j across the profile of the wire (for the first part of this task, consider just a current density in vacuum)

a) in order to calculate the magnetic induction it is suitable to work in cylindrical coordinates. Considering Boundary conditions at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ + B_ φ(ρ,φ,z)e_ φ Use the symmetry of the infinitely long cylindrical wire(and the corresponding current density) to simplify this ansatz for the magnetic induction.

b) use maxwell´s equation (no magnetic monopoles) to show that there is no component of the magnetic induction in the radial direction. Hint: use Gauss theorem together with a cylindrical volume.

c) How does the result of your calculation change if only the conductor of the wire has a magnetic susceptiblity χ>0? Hint: use the material equations and the equation for linear media.

Please answer (b) and (c) only. Answers to the same problem have been posted but please do not copy them. Thank you very much in advance.