According to the US Bureau of Labor Statistics, in the United States, the employment rate measures the number of people who have a job as a percentage of the working age population. In January 2020 the rate was 61.2%.

A) Recognizing that this is a binomial situation, give the meaning S and F in this context. That is, define what you will classify as a "success" S and what you will classify as a "failure" F as it refers to being employed.

B) Next, give the values of n, p, and q.

C) Construct the complete binomial probability distribution for this situation in a table.

D) Using your table, find the probability that exactly six working aged persons are employed.

E) Find the probability that at least 5 working aged persons are employed.

F) Find the probability that fewer than 6 working aged persons are employed.

G) Find the mean and standard deviation of this binomial probability distribution.

H) By writing a sentence, interpret the meaning of the mean value found in (G) as tied to the context of the percentage of working aged persons in the US.

I) Is it unusual to have 8 working aged persons in a group of 10 who are employed? Briefly explain your answer.

1. Open a blank Excel file and create a grouped frequency distribution of the maximum daily temperatures for the 50 states for a 30 day period. Use 8 classes.
2. Add midpoint, relative frequency, and cumulative frequency columns to your frequency distribution.
3. Create a frequency histogram using Excel. You will probably need to load the Data Analysis add-in within Excel. If you do not know how to create a histogram in Excel, view the video located at: http://www.youtube.com/watch?v=_gQUcRwDiik. A simple bar graph will also work.

If you cannot get the histogram or bar graph features to work, you may draw a histogram by hand and then scan or take a photo (your phone can probably do this) of your drawing and email it to your instructor.

4. Create an ogive in Excel (or by hand).
5. A. Do any of the temperatures appear to be unrealistic or in error? If yes, which ones and why?

B. Explain how this affects your confidence in the validity of this data set.

Project 1 is due by 11:59 p.m. (ET) on Monday of Module/Week 1.

please help!!!!!!!!

The Interstate Conference of Employment Security Agencies says the average workweek in the United States is down to only 35 hours, largely because of a rise in part-time workers. Suppose this figure was obtained from a random sample of 20 workers and that the standard deviation of the sample was 4.3 hours. Assume hours worked per week are normally distributed in the population. Use this sample information to develop a 90% confidence interval for the population variance of the number of hours worked per week for a worker. Interpret your interval.

1. Suppose that the annual interest rate is 3 percent in the United States and 4 percent in Germany, and that the S(EUR/USD) = $1.60 and the forward exchange rate, with one-year maturity, is F₁₂(EUR/USD ) = $1.57. Assume that an arbitrager can borrow up to $10,000,000 or €6,250,000. If an astute trader finds an arbitrage opportunity, what is the net cash flow in one year? (Show each step and the values)

Use the data and Excel to answer this question. It contains the United States Census Bureau’s estimates for World Population from 1950 to 2014. You will find a column of dates and a column of data on the World Population for these years. Generate the time variable t. Then run a regression with the Population data as a dependent variable and time as the dependent variable. Have Excel report the residuals.

(a) Based on the ANOVA table and t-statistics, does the regression appear significant?

(b) Calculate the Durbin-Watson Test statistic. Is there a serial correlation problem with the data? Explain.

(d) What affect might your answer in part (b) have on your conclusions in part (a)?

Thanks id advance! Will try to rate the answer ASAP. Please show your process too :)

In 2016 the Better Business Bureau settled 80% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.80, the same as the overall proportion of complaints settled in 2016.

(a)

Suppose you select a sample of 180 complaints involving new car dealers. Show the sampling distribution of

p.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: 0.74, 0.77, 0.8, 0.83, 0.86.
• The curve enters the viewing window near 0.74 just above the horizontal axis and travels up to the right to a maximum near 0.8.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.86.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: −0.06, −0.03, 0, 0.03, 0.06.
• The curve enters the viewing window near −0.06 just above the horizontal axis and travels up to the right to a maximum near 0.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.06.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: −1.2, −0.2, 0.8, 1.8, 2.8.
• The curve enters the viewing window near −1.2 just above the horizontal axis and travels up to the right to a maximum near 0.8.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 2.8.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: −0.03, 0, 0.03, 0.06, 0.09.
• The curve enters the viewing window near −0.03 just above the horizontal axis and travels up to the right to a maximum near 0.03.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.09.

(b)

Based upon a sample of 180 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion? (Round your answer to four decimal places.)

(c)

Suppose you select a sample of 470 complaints involving new car dealers. Show the sampling distribution of

p.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: −0.04, −0.02, 0, 0.02, 0.04.
• The curve enters the viewing window near −0.04 just above the horizontal axis and travels up to the right to a maximum near 0.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.04.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: −1.2, −0.2, 0.8, 1.8, 2.8.
• The curve enters the viewing window near −1.2 just above the horizontal axis and travels up to the right to a maximum near 0.8.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 2.8.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: 0.76, 0.78, 0.8, 0.82, 0.84.
• The curve enters the viewing window near 0.76 just above the horizontal axis and travels up to the right to a maximum near 0.8.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.84.

A bell-shaped curve is above a horizontal axis labeled p.

• In order of left to right, the ticks on the horizontal axis are labeled: −0.02, 0, 0.02, 0.04, 0.06.
• The curve enters the viewing window near −0.02 just above the horizontal axis and travels up to the right to a maximum near 0.02.
• After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.06.

(d)

Based upon the larger sample of 470 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion? (Round your answer to four decimal places.)

(e)

As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)?

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 12% of voters are Independent. A survey asked 30 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent?

Probability =

B. What is the probability that fewer than 6 are Independent? Probability =

C. What is the probability that more than 2 people are Independent? Probability =

Fresh!Now! is a chain of grocery stores in the United States with 1921 grocery stores in total, some of which also sell bakery goods and freshly made food-to-go. Fresh!Now!’s goal is to provide good quality fresh vegetables at affordable prices. However, given the existing market of organic food supplies, Fresh!Now! is facing tremendous competition. They realize that Fresh!Now! has to make their stores more attractive to customers.

In 19 stores across Massachusetts and New York, they have implemented a new concept to present the vegetables in the stores and have collected information of the average daily profit of leafy vegetables (in dollar) per customer per store (see table below). Janine, the head of the analytics department at Fresh!Now!, has tasked you with developing an anlaysis to better understand if the new concept has any effect.

Your first task it to create a 95% confidence interval for the mean of the dataset using the sample collected from Massachusetts and New York.

What is the upper limit of this confidence interval?

What is the lower limit of this confidence interval?

////////////////////////////

Part 2

To understand if the new concept has taken effect, you want to conduct a hypothesis test. Average daily profit per customer per store for the leafy vegetables in all other Fresh!Now! grocery stores is 14.

You formulate the following hypothesis test:

H0: Average daily profit at Fresh!Now! in the New York/Massachusetts stores is not higher than the average daily profit of all other Fresh!Now! grocery stores at a confidence level of 95%.

H1: Average daily profit at Fresh!Now! in the New York/Massachusetts stores is higher than the average daily profit of all other Fresh!Now! grocery stores at a confidence level of 95%.

1) Calculate the test-statistic for the hypothesis test above?

2) Please select the result of your hypothesis test:

Choose the correct answer.

Fail to reject H0: You are not 95% confident that the mean profit in the Massachusetts/Boston stores is higher than the population mean.

Accept H0: Profit in the Massachusetts/Boston stores is lower than the population mean at the 95% confidence level.

Reject H0: You are 95% confident that the mean profit in the Massachusetts/Boston      stores is higher than the population mean.

The result of your hypothesis test does not tell you if you can reject H0 or not.

3) Calculate the p-value for the hypothesis test above?

The mean cost of domestic airfares in the United States rose to an all-time high of $380 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $120. Use Table 1 in Appendix B.

a. What is the probability that a domestic airfare is $545 or more (to 4 decimals)?

b. What is the probability that a domestic airfare is $265 or less (to 4 decimals)?

c. What if the probability that a domestic airfare is between $300 and $510 (to 4 decimals)?

d. What is the cost for the 2% highest domestic airfares? (rounded to nearest dollar)

Suppose the current exchange rate is $1.42/€, the interest rate in the United States is 3.50%, the interest rate in the EU is 6%, and the volatility of the $/€ exchange rate is 17%.

(a). Using the Black-Scholes formula, calculate the price of a three-month European call option on the Euro with a strike price of $1.45/€.

The price of a three-month European call option is ____________$ (round to five decimal places).