Clarissa just graduated from High school and she is starting her new job today. Her new employer gave her a $15,000 signing bonus that she will invest today. She plans to retire 50 years from today (i.e., at the end of year 50). Once she retires, she would like to be able to withdraw from her retirement account $180,000 at the end of each year, starting the year after she retires (i.e., year 51). She expects that her retirement will last for 20 years (and the amount in her account after that should be 0). If Sofia can earn a return of 9% on her investments for the first 50 years and then 4% once she retires, how much money (in equal payments) does she need to save and invest each year in the first 50 years of her life to meet her goal (she invests ar the end of the year, i.e. this an ordinary annuity)? Round to the nearest 2 decimal places - if for example the answer is 7,345.567 then round it to 7,345.57.

3. In town A, a survey of 54 families finds a mean household size of 2.13, with a standard deviation of 1.0. In town B, a survey of 65 families finds a mean household size of 2.39, with a standard deviation of 1.2. Find an 86% confidence interval around the difference in means (3).

PLEASE HELP!

A credit reporting agency claims that the mean credit card debt in a town is greater than $3500. A random sample of the credit card debt of 20 residents in that town has a mean credit card debt of $3619 and a standard deviation of $391. At α=0.10, can the credit agency’s claim be supported?

5. A market research organization takes a simple random sample of 200 households in a town with 25,000 households. Of the 200 sampled households, 158 report having a video ondemand service like Netflix, Amazon Video, or Hulu.

(a) To answer parts (b) and (c), you need a box model. The box representing the population has a standard deviation that is (circle one) known OR estimated to be (fill in the value) _______________.

(b) The percentage of households in the town with a video on-demand service is estimated as _______________%, and this estimate is likely to be off by about _______________%.

(c) A 90%-confidence interval for the percentage of households in the town with a video ondemand service goes from _______________% to _______________%.

(d) Explain why it's ok to use the normal approximation to answer part (c). Your answer should contain the name of a theorem and one or more numerical comparisons.

(e) TRUE or FALSE (circle one): There is a 90% chance that the true percentage of households in the town with a video on-demand service falls within the interval calculated in (c).

A market research organization takes a simple random sample of 200 households in a town with 25,000 households. Of the 200 sampled households, 158 report having a video on-demand service like Netflix, Amazon Video, or Hulu.

(a) To answer parts (b) and (c), you need a box model. The box representing the population has a standard deviation that is (circle one) known OR estimated to be (fill in the value) _______________.

(b) The percentage of households in the town with a video on-demand service is estimated as _______________%, and this estimate is likely to be off by about _______________%.

(c) A 90%-confidence interval for the percentage of households in the town with a video on-demand service goes from _______________% to _______________%.

(d) Explain why it's ok to use the normal approximation to answer part (c). Your answer should contain the name of a theorem and one or more numerical comparisons.

(e) TRUE or FALSE (circle one): There is a 90% chance that the true percentage of households in the town with a video on-demand service falls within the interval calculated in (c).

Suppose that 5 percent of the population of a certain town contracted the COVID19 virus. There is a medical diagnostic test for detecting the disease. But the test is not very accurate. Historical evidence shows that if a person has the virus, the probability that her/his test result will be positive is 0.9. However, the probability is 0.15 that the test result will be positive for a person who does not have the virus.

1. Define clearly the events before you answer the following questions.

2. For a person selected randomly from the town, the test result was positive. What is the probability that the person has the Corona virus?

3. What is the difference between the probability found in the previous question and the 5%? How do we call the two probabilities?

4. For a person selected randomly from the town, the test result was negative. What is the probability that the person has the Corona virus?

5. For a person selected randomly from the town, the test result was positive. What is the probability that the person does not have the Corona virus?

A community is currently being served a single self-serve gas station with six pumps. A competitor is opening a new facility with 12 pumps across town. The table below shows the travel times in minutes from the four different areas in the community to the sites and the number of customers in each area.

(a) Using the Huff retail location model and if λ = 2, calculate the probability of a customer traveling from each area to each site.

(b) Estimate the proportion of the existing market lost to the new competitor.

Travel Times to Gas Stations (in minutes)

The twelfth paragraph states that the Chilean government’s "fiscal restraint" in the face of strong capital inflows during the 1990s left the government with "enough money...to cushion the economic downturn when foreign capital eventually turned tail in 1998." Explain.

https://www.economist.com/node/10286077

1. What is a stock option? Why are stock options costly for companies? 2. Why did CEO pay increased dramatically in the 1990s? 3. What do you think about the Standard Setting Process of the Accounting Rules

100 words each question