• Check My Work (2 remaining)

4. Leslie has been tasked with putting together a statistical report regarding the use of a particular park in her hometown. Previous data shows that 72% of the residents living in the town visited the park in the last month. She wants to know the probability that more than 98 individuals in a random sample of 150 residents have visited the park in the last month. Please Answer A-C

(a) Based on the information given, is the sample proportion p̂ of residents who have visited the park in the last month approximately normally distributed? Check the appropriate conditions to justify your answer

(b) What is the sample proportion p̂ for Leslies sample of 150 residents? Round your answer to two decimal places?

(c) What is the probability that more than 98 individuals in the random sample of 150 residents have visited the park in the last month?

Hydraulics & Hydrology

Problem Statement

The Romans were exquisite water engineers, and that without having at their disposal the modern tools and the knowledge we have today. Remember that Hydraulics and Hydrology as we know it now only came to be in the 1700’ when engineers started to put a fundamental framework together that is/was based on lab experiments and theoretical approaches and principles. Until then, you just “knew”. The Romans build all sorts of hydraulic systems, from irrigation canals, to water supply infrastructure, to the famed “hot baths” of Rome, to sewer systems, you name it. They realized that if you want water for different purposes at locations that were important to you that very often you had to get the water there because it just was not available in close proximity.

One of the marvelous feats they accomplished was to build water supply systems that would run over dozens of miles to convey water from sources to locations of need, typically the towns and cities they founded in their vast empire. They managed to do so by building a lot of infrastructure that withstood time and that, almost 2000 years later, is still in place for us to marvel at. Especially the many bridges that were built to cross valleys and gorges to keep the supply line flowing as an open channel are spectacular in their construction, such as the Pont du Gard, Segovia, and Aquila aqueducts.

Task:

1. Create a small inventory of the 5 most prominent and well-known aqueducts around to this day (you make a decision on what the criteria are for the selection of the 5). Come up with some describing parameters (for sure show an image or two) such as location, total length, capacity, year of built, special features, how many bridges, building materials, etc. Be creative and decide on your own what you want to tell about them.

2. Pick one of them and carry out a hydraulic analysis. I am interested here in typical characteristics such as discharge capacity, slopes, cross sections, but also operation: how did you get the water into the aqueduct, control structures, terminal end structures, Manning’s “n”, ... But also how they were lined, how gaps between construction elements were sealed so no seepage (or losses) would occur. It would also be great if you could treat the aqueduct as a chain of: uniform, rapidly (around controls), and gradually varied flow sections. Carry out a few analyses steps and report on what happens to energy and friction grade lines in these sections, preferably of the entire length of the aqueduct.

Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.

For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data:

29.7     24.5     27.1     29.8     29.2     27.0     27.8     24.1     29.3

            25.9     26.2     24.5     32.8     26.8     27.8     24.0     23.6     29.2

            26.5     27.7     27.1     23.7     24.1     27.2     25.9     26.7     27.8                

            27.3     27.6     22.8     25.3     26.6     26.4     27.1     26.1

Complete the following and include your results and responses in your report (use alpha = 0.05):

• List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)
  • Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)
  • Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.
• List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value. (75–150 words, or 1–2 paragraphs)
  • Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha? (75–150 words, or 1–2 paragraphs)
  • Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.

Conclusions

In your report, use the confidence interval information and the results of the hypothesis testing to provide support for your conclusions and recommendations to the company. Specifically:

Question 1. What conclusions did you reach? What did you learn about the situation by using each method? Did one method offer more conclusive proof than another? (150–225 words, or 2–3 paragraphs)

Question 2. Based on your results, do you support the company’s claim that their minivans get 28 miles per gallon? (75 words, or 1 paragraph)

Question 3. Summarize the details of your test methods and the results from each statistical method you used. Explain the findings so that executives from both the agency and the company can understand your conclusion. (150–225 words, or 2–3 paragraphs)

Question 4. Finally, present recommendations for actions that the company might take to use your findings to better serve their customers in the future. (75 words, or 1 paragraph)

Language: C++

3 Campus Travel Game

This lab will practice using loops.

We will construct a short computer game. Please look at the Test Cases for exact wording.

For your game, the player’s goal is to reach campus exactly.

The player starts 14 miles away and has up to 4 turns to reach campus.

At each turn the play can ride either use a Bus, a Subway, or a Jetpack:

• Riding a Bus moves the player forward 2 miles each turn.
• Riding a Subway moves the player forward 5 miles each turn
• Riding a Jetpack moves the player forward 10 mile each turn.

Example:
You are 14 mile(s) from campus!
How do you wish to travel? (1 bus, 2 subway, 3 jetpack) 

The player chooses one.

After each turn, the player is informed how much farther she must travel before reaching campus.

Winning/Losing: After the last turn, if the player has reached campus exactly ("You have won!")

   Otherwise, explain the problem: "You have over-shot your target!" or "You haven't reached your target!"

   And then write “You lose!”

The game will operate as follows:

• Report how far the user is from campus – the player starts 14 mile away
• For each turn:

o Ask user to select transport method (Bus, Subway, or Jetpack)

o Report the user’s new distance from campus

o If the player has reached campus or passed campus and it is not the fourth turn, end the game early – This is a more challenging step! Make sure the rest of your game works before working on this step.

ALSO:

Check that the user input is valid (1-3).

If the user fails to pick a valid number, the program must keep asking the user for a new selection until a valid number is entered. ALSO- you do not lose turns by making an invalid selection.

    Use this wording:      Invalid choice, try again!

Requirements:

• You must use a loop (while, do-while, or for) to loop through the 4 turns. (The loop can include a condition to allow ending early, if you so choose.)
• You must use at least one if or switch statement
• Require the user enters one of three numbers to specify the transport method

Example Output:

You are 14 mile(s) from campus!

How do you wish to travel? (1 bus, 2 subway, 3 jetpack) 2

You are 9 mile(s) from campus!

How do you wish to travel? (1 bus, 2 subway, 3 jetpack) 1

You are 7 mile(s) from campus!

How do you wish to travel? (1 bus, 2 subway, 3 jetpack) 1

You are 5 mile(s) from campus!

How do you wish to travel? (1 bus, 2 subway, 3 jetpack) 2

You are 0 mile(s) from campus!

You have won!

1-As a hotel owner what are the advantages and disadvantages of using a management company?

2-What are the issues GM's must address when operating a hotel for a management company?

In a survey of 529 travelers, 386 said that location was very important and 323 said that room quality was very important in choosing a hotel.

1. Construct a 90% confidence interval estimate for the population proportion of travelers who said that location was very important for choosing a hotel.
2. Construct a 90% confidence interval estimate for the population proportion of travelers who said that room quality was very important for choosing a hotel.