This problem involves normalizing a sample proportion.

6.    Past data has shown that 20% of all students graduating from XYZ University go on to do post-graduate work. A random sample of 700 students was taken frorn the university population.

1. Find the probability that the sample proportion of students going on to do postgraduate work is greater than 24%. (Hint: Note that 20% is the population proportion, and 24% is the sample proportion.)
2. State the numerical value of the standard error of the proportion.

This problem involves a test in which two independent populations are involved and the population standard deviations are known.

Your University wish to determine how alcohol consumption patterns among students impact their GPAs. You and your classmates’ task (as a group) is to discuss and formulate a RESEARCH PROPOSAL, proposing how the research would be conducted, from start to completion, step-by-step, in order to ultimately produce a useful and dependable report that would guide the University in introducing positive measures that improve students’ academic qualities. Among many things, you and your classmates would definitely want to propose the inclusion of any descriptive statistics and tests that are useful in uncovering the relationship between alcohol consumption patterns and GPAs achieved.

(1 point) Rework problem 29 from section 2.3 of your text, involving the selection of officers in an advisory board. Assume that you have a total of 11 people on the board: 5 out-of-state seniors, 2 in-state seniors, 2 out-of-state non-seniors, and 2 in-state non-seniors. University rules require that at least one in-state student and at least one senior hold one of the three offices. Note that if individuals change offices, then a different selection exists.

In how many ways can the officers be chosen while still conforming to University rules?

William has to make rental payments of $1,000 at the start of every month, throughout the four-year duration of his university course. His university fees are $4,000 to be paid at the start of each year. He earns $1,500 per month (paid at the end of each month) from a part-time job. Assume an interest rate of 8% p.a. and that he keeps the part-time job for the next four years. How much money, in present value terms, can he withdraw each month for the next four years?

1. Harry Brown wants to borrow $30,000 for a period of fifteen years. He has two choices. MaxWest Bank is offering to lend him the $30,000 at 8.0 percent compounded semi-annually. He can also borrow from his company and will have to repay a total of $97,302 at the end of fifteen years. Should Harry borrow from MaxWest Bank or from his company; and what is the interest rate if he borrows from his company? (Rounded to one decimal point).

1. Borrow from Company: Company Interest rate is 7.8%
2. Borrow from Company: Company Interest rate is 8.7%
3. Borrow from Bank: Company Interest rate is 8.7%
4. Borrow from Bank: Company Interest rate is 7.8%
5. None of the above

2. Rick Richmond wants to buy a house in five years’ time. He hopes to be able to put a deposit of $40,000 at that time. If the bank term deposit he wants to invest in will pay 7.5 percent annually, how much will he have to invest today? (Rounded to the nearest dollar.)

1. $25,662
2. $26,552  
3. $26,772
4. $27,862
5. None of the above

3. Colin Collingwood intends to deposit $20,500 in an account paying an annual interest rate of 6 percent compounded quarterly.  After seven years, what would be the difference between the compound interest he will earn and the interest he would have earned if it was only simple interest? (Rounded to the nearest dollar.)

1. $1,993
2. $1,884  
3. $1,558
4. $1,765
5. None of the above

4. What is the present value of an annuity due consisting of 5 annual payments of $4,000 with an interest rate of 9% p.a.

1. $16,959
2. $16,006  
3. $19,558
4. $18,765
5. None of the above

** Please show the all mathematical steps and the Financial Calculator step if possible, Thanks.

The following data represent the number of days absent (x) and the final grade (y) for a sample of college students in a statistics course at a large university.

Number of absences (x):      0         1         2         3         4         5        6         7         8         9

Final grade (y):                  89.2   86.4   83.5    81.1   78.2    73.9   64.3   71.8   65.5   66.2

1. Draw a scatter diagram on graph paper. The number of days absent is the explanatory variable and the final grade is the response variable.

2. Compute the linear correlation coefficient, r.   Interpret your answer.

3. Compare │r│ to r_critical to determine if a linear relation exists between x and y.

4. Find an equation, the least squares regression line, that best fits your data.

5. Accurately draw the least squares regression line on your scatter diagram from part (a). Be sure to identify your plotted points.

6. Interpret the slope and the y-intercept.

7. Compute the final grade using your least squares regression equation for a student who misses 5 classes. Now find the residual.

8. Use your graph to predict the final grade of a student who misses 10 classes.

1. Determine and interpret the coefficient of determination, R².

MUST SHOW WORK AND FORMULAS PLEASE

The following data represent the number of days absent (x) and the final grade (y) for a sample of college students in a statistics course at a large university.

Number of absences (x): 0 1 2 3 4 5 6 7 8 9

Final grade (y): 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2

a) Draw a scatter diagram on graph paper. The number of days absent is the explanatory variable and the final grade is the response variable.b) Compute the linear correlation coefficient, r. Interpret your answer.c) Compare │r│ to rcritical to determine if a linear relation exists between x and y. d) Find an equation, the least squares regression line, that best fits your data.e) Accurately draw the least squares regression line on your scatter diagram from part (a). Be sure to identify your plotted points.f) Interpret the slope and the y-intercept.g) Compute the final grade using your least squares regression equation for a student who misses 5 classes. Now find the residual.h) Use your graph to predict the final grade of a student who misses 10 classes.i) Determine and interpret the coefficient of determination, R².

1. Last year, the CPI Index was 102.43. Now (one year later), the index is 110.24.

Calculate the inflation rate over this period.

Enter your answer in decimals (not percent) and round to 4 decimal places, for example 0.1234.

2. Last year, the CPI Index was 205.49. Now (one year later), the index is 214.87.

Over the past year, you earned 7.6% on your deposits at the bank.

Calculate your real rate of return over the year.

Enter your answer in decimals (not percent) and round to 4 decimal places, for example 0.1234.

3.

Company A and Company B recently sold bonds to investors.

You notice that investors require a return of 4.55% to invest in the bonds of Company A, and they require a return of 8.75% to invest in the bonds of Company B.

Which of the following options would be the most likely explanation for the extra return investors require from Company B?

Group of answer choices

Company B has more default risk than Company A

Company A has more default risk than Company B

Investors are not sure how much liquidity risk there is for Company B

Investors expect more profits from Company B

4.

What is the present value of a 8-year annuity that will pay you $3,000 per year if interest rates are 10%?

Round your answer to 2 decimal places, for example 100.12.

A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5231 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.6 years with a standard deviation of 0.8. The private university students took on average 4.2 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

-state the null hypothesis

-state the alternative hypothesis

-In words, state what your random variable X_state − X_private  represents.

-State the distribution to use for the test. (Round your answers to two decimal places.)

X_state − X_{private ~ __ ( __ , __ )}

_-What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
-What is the p-value? (Round your answer to four decimal places.)
-Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (Upload your file below.)

-(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

-decision rejected or or do not reject

Assume you are the manager of a company who is looking for just the right person to fill a unique new position. You need to write a very targeted and effective ad that will grab attention and create interest in potential candidates. You can decide what the company does and what position is needed. Using principles of motivation from the article on Southwest Airlines, the interview with Greg McEvilly, and the theories discussed in Chapter 8 of Introduction to Industrial and Organizational Psychology, write an advertisement for a job that would spark interest in people who are creative, dependable, and innovative.