The average height for a student in a class with n = 60 students is a random variable with an average height of 180 cm and standard deviation σ = 10. The individual heights which make up that average are i.i.d. (1) use Chebyshev’s inequality to find an upper bound for the probability that the average of the class (obtained from the individual student heights) is greater than 200cm. (2) Use Chebyshev’s inequality to upper bound the probability that the average height of a given student is above 195 centimeters. Additionally, (3) Use the CLT to approximate the probability that the monthly average (found from the average of each individual student height) is greater than 200cm.

Calculating the probability that in a class of 20 students, there are at least two with the same birthday.

(a) First, calculate the probability that each student has a different birthday as follows (round to four decimal places)

b) Explain briefly why the above probability is calculated that way.

(c) Now note that the probability that there are at least two with the same birthday is the complement of the above probability. What is the probability that there are at least two with the same birthday

The data in the table is the number of absences for 77 students and their corresponding grade.

Step 1 of 5 : Calculate the sum of squared errors (SSE). Use the values b0=5.4276b0=5.4276 and b1=−0.4413b1=−0.4413 for the calculations. Round your answer to three decimal places.

step2: Calculate the estimated variance of errors, se2. Round your answer to three decimal places.

step3 : Calculate the estimated variance of slope, sb12. Round your answer to three decimal places.

step 4: Construct the 90%confidence interval for the slope. Round your answers to three decimal places.

step 5: Construct the 80% confidence interval for the slope. Round your answers to three decimal places.

The data in the table is the number of absences for 7 7 students and their corresponding grade. Number of Absences 4 4 4 4 6 6 6 6 6 6 6 6 7 7 Grade 3.7 3.7 3.3 3.3 3.3 3.3 3 3 2.5 2.5 1.9 1.9 1.5 1.5 Table Copy Data Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b 0 =5.8278 b0=5.8278 and b 1 =−0.5537 b1=−0.5537 for the calculations. Round your answer to three decimal places. Step 2 of 5: Calculate the estimated variance of errors, s 2 e se2 . Round your answer to three decimal places. Calculate the estimated variance of slope, s 2 b 1 sb12 . Round your answer to three decimal places. Construct the 95% 95% confidence interval for the slope. Round your answers to three decimal places. Step 5 of 5: Construct the 98% 98% confidence interval for the slope. Round your answers to three decimal places.

PURPOSE:

The purpose of this assignment is to enable the students to enhance their knowledge on the environmental engineering and sustainable development for environmental engineering.

TASK 1 (DOCUMENTATION)

Development in science and technology has increase the level of human lifestyle which leads to technology advancement. However, everything good comes with a price. One of the greatest problems that the world is facing today is that of environmental pollution, increasing with every passing year and causing grave and irreparable damage to the earth as a results of the chemical by-products produced from a human activities. Nowadays, more than 700 emerging pollutants, their metabolites and transformation products, are listed as present in the European aquatic environment alone (www.norman-network.net). The presence of emerging contaminants, including pharmaceuticals and personal care products (PPCPs), pesticides, and endocrine-disrupting chemicals (EDCs), in water bodies is a serious problem in many countries. However, the environmental fate of emerging contaminants and their behavior is largely unknown. They are presently not monitored in the environment but have a high potential of causing environmental damage and suspected detrimental effects on ecosystems and human health (Geissen et al., 2015).

The goverment of Malaysia is requesting the environmental consultant company you are currenly working to do a study on the impact of emerging pollutants to water suppy system in Malaysia. This study must include the current management apply to manage this pollutant. As a team leader you are required to prepare a documentation consist of:

1. Introduction: Described what is the Emerging pollutants
2. Discuss the significant impacts of Emerging pollutants to our water supply system
3. Discuss the current action taken by authorities to reduce, remove and manage this emerging pollutants according to current law and regulations.
4. As an engineer responsible, suggest potentially sustainable methods for the treatment and management of emerging pollutants. Write a reason why you chose the methods.
5. Conclusion

requirement:

1. Number of words: 3500 - 5000 Words excluding references.

[TOTAL: 100 marks]

The 90 students in a statistics class are categorized by gender and by the year in school. The numbers are listed in the following table:

Test the null hypothesis that there is no association between the year in school and the gender using a 1% significance level. Be sure to specify the test statistic with degrees of freedom, the P-value or critical value, and your conclusion. Please no computer software answers! Thank you!

In this assignment, students are required to write a report and do a presentation on a new business management practice. They need to analyse the selected Business to come up with answers for the following questions:

• Name and introduction of the Business

• Size of the business and Product Features

• What are the capital sources for the new business and how they are obtained?

• What are the challenges and difficulties that might be expected for the example business? You need to discuss any possible problem such as legal, technological, political, economic, environmental, social and cultural challenges.

• How are the potential risks involved in the process of the example business venture?

• Provide Management practices you will be implementing to minimise or eliminate the problems/issues you have or might have in the future.

• Recommendation

• Conclusion

Purpose of Assignment 
The purpose of this assignment is to allow the students to understand and practice the measurement of present value, future value, and interest rate using Microsoft^® Excel^®. 

Assignment Steps 

Resources: Microsoft^® Office^® 2013 Accessibility Tutorials, Microsoft^® Excel^®, Time Value of Money Calculations Template

Calculate the following time value of money problems using Microsoft^® Excel^®:

If we place $8,592.00 in a savings account paying 7.5 percent interest compounded annually, how much will our account accrue to in 9.5 years?

What is the present value of $992 to be received in 13.5 years from today if our discount rate is 3.5 percent?

If you bought a stock for $45 dollars and could sell it fifteen years later for three times what you originally paid. What was your return on owning this stock?

Suppose you bought a house for $3,250,000 to make it a nursing home in the future. But you have not committed to the project and will decide in nine years whether to go forward with it or sell off the house. If real estate values increase annually at 1.5%, how much can you expect to sell the house for in nine years if you choose not to proceed with the nursing home project?

If your daughter wants to earn $215,000 within the next twenty-three years and the salaries grow at 4.45% per year. What salary should she start to reach her goal?

A market research firm also wants to pilot test a new line of vehicles among prospective customers. They collect data on attitude ratings (higher scores reflect more liking) for four different car models and find the following results: Toyota Camry (M = 8.2; N = 50), Honda Accord (M= 7.5; N = 50), Ford Focus (M = 4.0; N = 50), and Chevrolet Impala (M=5.7; N = 50). They also calculated the between-group and total sum of squares (SS_B = 568.6; SS_T = 7781.4). Use a one-way ANOVA (where α = .01) to determine if there are significant differences in ratings of cars.

        12. Identify the alternative hypothesis (F tests are always nondirectional)

       13. List your degrees of freedom (within)

       14. List your degrees of freedom (between)

       15. List your mean squares between groups

       16. List your mean squares within groups

       17. List your F test statistic

       18. List your critical F value

       19. Are there statistically significant differences in ratings among different cars? (Yes/No)

       20. Calculate partial eta-squared (η²) for the effect of car type on liking ratings (list as decimal, 0.xx)

       21. Calculate Tukey’s HSD

       22. Use Tukey’s HSD to determine if the difference in liking ratings between the Toyota Camry and Ford Focus is statistically significant (Yes/No)

You can use the table below to help answer the questions in this scenario