An Illinois state program evaluator is tasked with studying the intelligence of soon-to-graduate high school students in a number of Chicago-area high schools.

One of the specific questions that needs to be answered is, “How do the students of Collins High School, one of Chicago’s lowest-rated high schools in terms of academic achievement, fare in intelligence compared to students of Lincoln Park High School, one of Chicago’s highest-rated high schools in terms of academic achievement?”.

To conduct this study, the program evaluator administers the Wechsler Adult Intelligence Scale, 4th Edition (WAIS-IV) to one 12th grade class from each high school in the Chicago area (if you are interested in learning more about the WAIS-IV, click here).

The following table shows the WAIS-IV scores for student from Collins HS and Lincoln Park HS (note: data were fabricated for purposes of this excersize):

First, complete the below grouped frequency table of WAIS-IV scores for each HS:

Compute the appropriate calculations to complete the following table :

What is the shape of the distribution of intelligence scores (normal, negatively skewed, positively skewed) for Collins HS? Explain how you arrived at your answer.

What is the shape of the distribution of intelligence scores (normal, negatively skewed, positively skewed) for Lincoln Park HS? Explain how you arrived at your answer.

Organizational culture - Ritz-Carlton

The Ritz-Carlton is committed to treating its guests as HRHers of the hotel, drawing on the best institutional cultures in the area of ​​residence, and the staff are referred to as "ladies and gentlemen". The hotel employees carry a card with the hotel logo printed on it that states: “We, ladies and gentlemen, provide the service to women and gentlemen.”

They have trained the employees of the Ritz in very precise standards and specifications to deal with customers. The founders of the company, Caesar Ritz and Auguste Escover, set these standards for more than a century, and Ritz employees are continuing to be trained in the company's traditions and values.

The managers reinforce the company’s values ​​and review service methods in 15-minute “show” sessions every day in every hotel building. These values ​​form the basis for employee training and compensation. Nothing is left to chance when it comes to providing exemplary customer service,

Prospective employees pass tests related to cultural suitability and attributes associated with the innate love of service provision. "The smile should look natural," says one of the company’s managers. Although team members are expected to be highly motivated and highly motivated, their behavior in dealing with inmates is very detailed and written, which is the company's new approach in contrast to what the company has been doing before: No less for employees how to make inmates feel happy. Employees are expected to discover this themselves now. Diana Orrick, Vice President, says, “We have switched from this written guideline approach and moved to results management.” But the result has not changed. The goal is still for the inmate to express his admiration for the service they receive. However, based on the new approach, the interactions of team members with inmates are more natural, calm, and honest, which is better than appearing as lines from a booklet.
answer the questions:

1. What is the prevailing culture at the Ritz-Carlton? In your opinion, why is this type of culture important to a luxury hotel? With a discussion of the weaknesses of such a culture type?
2. What challenges do you think the Ritz-Carlton Hotel faced in changing the organizational culture? With a discussion of what the Ritz-Carlton should do to maintain the new organizational culture?
3. What characteristics of a potential employee do you think will be the happiest and most successful in this culture? In your opinion, how can new employees "learn" this culture?
4. What can other organizations learn from the Ritz-Carlton about the importance of organizational culture?

Many product markets exhibit characteristics of both monopolistic competition and oligopolies, such as video game consoles and movie theater chains. What characteristics in each of these markets make it more monopolistically competitive? Which characteristics make it more like an oligopoly?

a. Elastic demand with differentiated products.

b. Differentiated products with mutual interdependence.

c. Single seller of a good or service and collusive agreement.

d. Large number of sellers with homogenous products.

The following probability distributions of returns for two stocks have been estimated:
Probability Stock A Stock B
0.3 12% 8%
0.4 8 4
0.3 6 3
What is the coefficient of variation for the stock that is less risky (assuming you use the coefficient of variation to rank riskiness).

In each of parts​ (a)-(c), we have given a likely range for the observed value of a sample proportion p. Based on the given​ range, identify the educated guess that should be used for the observed value of p to calculate the required sample size for a prescribed confidence level and margin of error.

a. 0.2 to 0.3

b. 0.1 or less

c. 0.3 or greater

The following probability distributions of returns for two stocks have been estimated:

Probability; Stock A; Stock B

0.3; 12%; 5%

0.4; 8; 4

0.3; 6; 3

What is the coefficient of variation for the stock that is less risky (assuming you use the coefficient of variation to rank riskiness).

3.62

0.28

0.66

5.16

0.19

Fluoride concentration in city water is heavily regulated to ensure there are no adverse long-term health effects. Suppose that a city decides to regulate its fluoride concentration at a mean level 1.0 mg/L, and the concentration of fluoride X is normally distributed with a standard deviation of 0.3 mg/L.

(a) [2 pts] Express the parameters of the distribution of X in proper notation.

(b) [2 pts] What is the probability of observing a fluoride concentration less than 0.7 mg/L?

(c) [4 pts] If ten randomly selected water samples are taken from the city’s water supply, what distribution would the sample mean fluoride concentration follow? In addition to identifying the distribution, specify any parameters for the distribution, check any conditions necessary, and explain why x ̄ follows this distribution.

(d) [2 pts] What is the probability of observing a sample mean fluoride concentration less than 0.7 mg/L in a sample of ten randomly selected water samples?

(e) [3 pts] If a sample of ten water samples results in a sample mean fluoride concentration of 1.2 mg/L, should officials be concerned that there is more fluoride in the water than they want? Explain why or why not.

Scenario 6.1 - The Big Box Bahouth Ltd. is planning for the next two years of production and debating whether to construct a large cross-dock facility with 40 truck bays or a smaller one with 20 truck bays. The cost to build the large facility is $2 million and the cost to build the small one is $1.2 million. If they construct a large facility and demand is as high as they hope, then operating costs are $450,000 annually. If they construct a large facility and demand is low, then operating costs are $300,000. If they construct a small facility and demand is low, the operating costs are $275,000 but if they experience high demand, the operating cost of a small facility increases to $600,000. After having conducted some market research, they feel that the likelihood of high demand is 0.7 and the likelihood of small demand is 0.3. -Suppose the contractor has found some materials on Craigslist that can drop the construction cost of a large facility to $1,500,000. These materials cannot be used in the construction of the small facility, so its price remains as indicated in Scenario 6.1. Determine the likelihood of high demand that would make the decision maker indifferent between the two alternatives for a two year time period.

A) 1.0 B) 0.72 C) 0.92 D) 0.86

Laura is considering investing in a company's stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four states of the economy can affect the return on the investment.

Use the table of returns and probabilities above to determine the expected return on Laura’s investment? (Round answer to 3 decimal places, e.g. 0.076.)

Using Arduino to blink an LED in morse code.

Morse code is used as one of the methods for communications. It consists of a series of “dit” and “dah” symbols. (i) Develop an Arduino program to produce a Morse code to express the phrase “We are students” using Pin #13 (connect an LED that is in series with a 220-Ω resistor to Pins #13 to view the information sent via the Morse code). Express one “dit” with LED on for 0.3 seconds and then off for 0.3 seconds; express one “dah” with LED on for 0.9 seconds and then off for 0.3 seconds; express the space between letters with LED off for 0.9 seconds; and express the space between words with LED off for 2.1 seconds.