You are planning to save for your retirement in 35 years and the college tuition for your two children. Your current monthly salary is $9,000 per month and you expect your salary to keep pace with inflation. You expect inflation to be a 3.5 percent EAR for the rest of your life. You plan to deposit 12 percent of your salary each month into a retirement account. Additionally, your employer will deposit 4 percent of your salary into the account. You expect to earn a 10.8 nominal nominal EAR in your retirement savings account until retirement. Your children will begin college 15 years and 17 years from now. The university that you plan for your children to attend has started a new legacy program where for a minimal donation today, the school will guarantee that the tuition for your first child will be $130,000 and the tuition for your second child will be $135,000. Each of these tuition payments will be made when your child starts college and will cover the entire four years of tuition. If you can earn an 8.7 percent EAR after you retire, how much can you withdraw each month in real terms for the 25 years of your retirement?

In 2010, an online security firm estimated that 65% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this proportion with a margin of error of 0.05.

(a)

Using 0.65 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.05? (Round your answer up to the nearest integer.)

(b)

How does the sample size in part (a) compare to the sample size that would result from using the conservative value of 0.5? (Round your answer up to the nearest integer.)

The sample size in part (a) [[is smaller than]] the sample size of ___??___computed using the conservative estimate.

(c)

What sample size would you recommend? Justify your answer. (Round your sample size up to the nearest integer.)

The sample size of __??___  should be used for this study because it will guarantee a margin of error of no greater than 0.05. The other sample size computed will only guarantee a margin of error no greater than 0.05 if p > __??__ or if p < __??__

In 2010, an online security firm estimated that 64% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this proportion with a margin of error of 0.05.

(a) Using 0.64 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.05? (Round your answer up to the nearest integer.)

(b) How does the sample size in part (a) compare to the sample size that would result from using the conservative value of 0.5? (Round your answer up to the nearest integer.)

The sample size in part (a) smaller than the sample size of: computed using the conservative estimate

(c) What sample size would you recommend? Justify your answer. (Round your sample size up to the nearest integer.)

The sample size of: should be used for this study because it will guarantee a margin of error of no greater than 0.05. The other sample size computed will only guarantee a margin of error no greater than 0.05 if p >: or if p < : .

Melinda Dennis from Sewell, New Jersey, just graduated from college and is concerned about her student loan debts. While at her graduation party she got to talking with three of her cousins, Kyle, Mariah, and Hadrian, who have been out of school for several years and found they each have had somewhat different pattern with using credit and carrying debt. Kyle, who had taken a personal finance class, said he felt good about his credit management and mentioned he has a debt payments-to-disposable income ratio of 7 percent. None of the other three cousins even knew what such ratio was. Kyle offered to do the calculations for the other three cousins. After doing so, he found ratios of 20 percent for Melinda due to her student loan debt, 12 percent for Mariah due primarily to a car loan, and 16 percent for Hadrian due to both a car loan and credit card debt. The cousins are planning to get together next week and discuss what Kyle has found. What assessment and advice should Kyle give to his cousins?

The reading speed of second grade students in a large city is approximately​ normal, with a mean of

92 words per minute​ (wpm) and a standard deviation of 10 wpm.

​(a) What is the probability a randomly selected student in the city will read more than 97 words per​ minute?

Interpret this probability.

(b) What is the probability that a random sample of 12 second grade students from the city results in a mean reading rate of more than 97 words per​ minute?

Interpret this probability.

(c) What is the probability that a random sample of 24 second grade students from the city results in a mean reading rate of more than 97 words per​ minute?

Interpret this probability.

(d) What effect does increasing the sample size have on the​ probability? Provide an explanation for this result.

(e) A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 21 second grade students was 94.3 wpm. What might you conclude based on this​ result?

(f) There is a​ 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what​ value?

Leviathan Global, Inc. (LGI) provides organizational services to opera companies and symphonies. LGI has hired you to prepare its financial statements. Osvaldo Garza, Chief Executive Officer, and 60% shareholder in LGI, has a Master of Fine Arts from the Julliard School in New York, no accounting education or experience, and provided you with the following data: LGI was sued in 2019 from breach of contract. LGI is accused of providing substandard seating at a concert and the petitioner is suing for $100,000 in damages. As of December 31, 2019, the case was still be adjudicated. Osvaldo had a 401K balance of $450,000 as of December 31, 2019. Osvaldo purchased a used Tesla Roadster in 2019 for $80,000. Osvaldo gives you a typed list of LGI income information, expense information, assets and liabilities on December 31, 2019: Accounts Payable $122,000 Land $900,000 Accounts Receivable $313,500 Misc. Expense $129,500 Cash $530,500 Office Expense $630,000 Common Stock $1,000,000 Supplies $ 33,500 Fees Earned $2,632,000 Wages Expense $1,317,000 Retained Earnings on January 1, 2019, were $300,000. During 2019, LGI paid $200,000 in dividends.

What were LGI's Total Expenses in 2019?

2. (a). In response to the outbreak of the pandemic, what are the Government of Canada’s economic response plans or programs to support individuals and families? Explain briefly the underlying economics of these plans or programs In terms of macroeconomic stabilization policy.
(b). In Introductory Macroeconomics, you have learned the Keynesian theory of government expenditure (or government deficit) on aggregate expenditure. Now consider this theory together with its counterpart of the New Classical school you learn in this course (you can find the name in the textbook/slide or the video posted on our course webpage at D2L). Explain concisely why these two theories have different predictions about the impact of government expenditure on
Assignment 2: More impact of COVID-19 on the Canadian economy
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aggregate expenditure.
(c). Once again, go to the website of Statistics Canada and look for the relevant data to assess the impact of the Government of Canada’s economic response plan (as a whole) on aggregate expenditure in Canada. It is not necessary to run any statistical or econometric test, but a diagram should help in your description and explanation.
(d). Based on what you find in above, assess if the two theories are empirically verified, and if so, which one is more empirically valid. Explain and support your conclusion with reference to both the theories and data.

3-20 Breakeven analysis; multiproduct CVP analysis (LO 1, 5) Abado Profiles provides testing services to school districts that wish to assess students' reading and mathematical abilities. Last year Abado evaluated 60,000 math tests and 20,000 reading tests. An income statement for last year follows.

Required

a.What is Abado's breakeven point in sales dollars?

b.In an effort to raise the demand for reading tests, managers are planning to lower the price from $36 per test to $20 per test, the current price of the math test. They believe that doing so will increase the demand for reading tests to 60,000. Prepare a contribution format income statement reflecting Abado's new pricing and demand structure.

c.What will be Abado's breakeven point in sales dollars if this change is implemented? Do you recommend that Abado make the change?

(Please show work/step-by-step. Must be legible.)

1. The researcher from the Annenberg School of Communications is interested in studying the factors that influence how much time people spend talking on their smartphones. She believes that gender might be one factor that influences phone conversation time. She specifically hypothesizes that women and men spend different amounts of time talking on their phones. The researcher conducts a new study and obtains data from a random sample of adults from two groups identified as women and men. She finds that the average daily phone talking time among 15 women in her sample is 42 minutes (with a standard deviation of 6). The average daily minutes spent talking on the phone among 17 men in her sample is 38 (with a standard deviation of 5). She selects a 95% confidence level as appropriate to test the null hypothesis.

a) How many degrees of freedom are there?

b) What is the obtained value of the test statistic (t)?

c) What is the critical value of the test statistic (t)? [t-obtained]

d) What decision should the researcher make about the null hypothesis? Be sure to explain your answer (e.g., what numbers provide the basis for this decision?).

1) The mean lifetime of a tire is 36 months with a variance of 49. If 126 tires are sampled, what is the probability that the mean of the sample would differ from the population mean by greater than 0.44 months? Round your answer to four decimal places.

2) Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.5 years with a standard deviation of 1.1 years.

a) If a sampling distribution is created using samples of the ages at which 47 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

b) If a sampling distribution is created using samples of the ages at which 47 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

3) A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 15 years with a variance of 25. If the claim is true, in a sample of 41 wall clocks, what is the probability that the mean clock life would be less than 15.4 years? Round your answer to four decimal places.