A publicly traded company operating over 800 restaurants nationally and in 15 foreign countries with 34,000 employees with a reported gross revenue of $1.25 billion dollars is the subject of this action.  This chain restaurant posted an internal announcement for a temporary summer position in its Park City, Utah resort location for employees in a nine state region. The position included company-provided housing and greater earnings. However, the announcement stated that only female employees would be considered because of concerns about housing employees of both genders together. The restaurant selected only women for those summer jobs. Two male employees were turned down for the opportunity. Please answer the following questions.

1) What federal law will the two male employees rely on in this action?

2) Can the two male employees bring an action in federal court immediately? If not, with what federal agency must they file a complaint first?

3) What is the statute of limitation of limitations on the filing of the complaint?

4) What doctrine will the male employees most likely use to prove discrimination and how will they go about proving it? How might the employer respond to or refute the allegations of discrimination?

5) How do you think the Court should rule and what is the basis for that ruling?

Build a program that calculates the parking fare for the customer who parks their cars in a public parking lot given the following: i. A character showing the type of vehicle: C for car, B for bus, T for truck ii. An integer between 0 and 24 showing the hour the vehicle entered the lot iii. An integer between 0 and 60 showing the minute the vehicle entered the lot iv. An integer between 0 and 24 showing the hour the vehicle left the lot v. An integer between 0 and 60 showing the minute the vehicle left the lot For encouraging people to park for a short period of time, the management uses two different rates for each type of vehicle as shown below: Vehicle First Rate Second Rate CAR RM 1.00/hr first 3 hr RM 2.00 after first 3 hr TRUCK RM 1.50/hr first 3 hr RM 2.50 after first 3 hr BUS RM 2.00/hr first 3 hr RM 3.00 after first 3 hr No vehicle is allowed to stay in the parking lot later than midnight. If the customer is detected stay parking lot overnight, the customer is required to pay the penalty fee RM 150.00 per day plus the parking fare.

When a Body Meets a Body

What a day! A traveling couple has stopped overnight at this airport hotel to break up 27 hours of travel from almost around the world. It is already late, almost 11:00 pm when they finally get to their room. What’s that noise? A party in the room across the hall. After giving the partygoers an additional hour to finish up, the distraught guest calls the desk. No answer after some 10 rings. Every 10 minutes the caller rings the desk because the party has grown louder and louder and it is now well past 1 am. No answer. No answer. No answer. More than 2 hours after arriving, the man puts on his clothing and walks down to the lobby. The lobby is pitch dark except for emergency lighting. “Wow, something has happened. Oh Gosh! There’s a body on the sofa!” The guest is startled even more when the night auditor jumps up from the sofa and his deep sleep, mumbling something about; “sorry I must have fallen asleep.”

Questions:

1. Was there a management failure here? If so, what?

2. What is the hotel’s immediate response (or action) to the incident?

3. What further, long-run action should management take? If any?

Calculations on Elasticity of Supply and Demand

1. Consider two cities, Control City and Freeburg, that are initially identical, with an equilibrium wage $100, equilibrium employment 100,000 jobs, and 50 million square feet of housing (500 square feet per worker). The government in Control City fixes the maximum total square footage in the city at its current level: new housing can be built, but every square foot of new housing requires that one square foot of old housing be retired from the market. Each city experience an increase in labor demand that shift the market demand curve to the right by 24 percent. In both cities, the wage elasticity of demand for labor is -1.0.

(a) In Freeburg, the wage elasticity of labor supply is 5.0. Illustrate the market effect of the increase in labor demand, including a value for the new equilibrium wage.

(b) In Control City, the wage elasticity of labor supply is 0. Illustrate the market effect of the increase in labor demand, including a value for the new equilibrium wage.

Research question: In the population of all Penn State students, are more than 80% enrolled full-time?

In this question set you will be using StatKey to conduct randomization tests for a single proportion. These data are not built in to StatKey, so you will need to “Edit data” to enter in the sample counts. Please show screenshots and work.

B. Using the five steps from the online notes, conduct a randomization test given that 350 students in a sample of 400 are full-time students. Be sure to include your relevant StatKey output. [30 points]

Step 1: Determine what type of test you need to conduct and write the hypotheses.

Step 2: Construct a randomization distribution under the assumption that the null hypothesis is true. Take at least 5000 resamples.

Step 3: Use the randomization distribution to find the p-value.

Step 4: Decide if you should reject or fail to reject the null hypothesis.

Step 5: State a real-world conclusion in relation to the original research question.

In order to determine the load capacity of a lift, a random sample of 15lifts are stress tested and the maximum weight that each life can bear before malfunctioning is recordedas the “Maximum Load”. Suppose thatthe mean of the maximum load is1279 pounds and the standard deviation of the maximum loadis 123 pounds.

a.Verify that the conditions for constructing confidence intervals for the mean are met.

b.Compute and interpret a 99% confidence interval for the mean of the maximum weight the lifts can bear.

c.Compute and interpret a 99% confidence interval for the standard deviation of the maximum weight the lifts can bear.

d.A safety mechanism built into the lift will detect the weight currently on the lift and prevent it from activating if it exceeds a certain threshold. The manufacturers want the mechanism to activate below the maximum weight of nearly all of the liftsthey produce. Currently, the mechanism will activate if it detects 1200 pounds or more on the lift.

Based off of your answers to parts b and c, should the threshold for the mechanism be changed? Justify your answer.

An inductor in a switch-mode power supply that operates at a peak current of 8 A needs to store 80 mJ of energy, thereafter release it to a 10 ? load resistor. Suppose this inductor had to be custom designed and built as a solenoid coil wound on a pencil (10 mm diameter) with no magnetic properties. Only one layer of turns is allowed on the pencil’s outer surface, and 0.1-mm diameter enamel coated wire has to be used. Answer the following carefully:

(a) Calculate the required inductance to store the energy.

(b) Draw an isometric sketch of the air-core inductor with only one layer of turns, showing its dimensions and a few turns of wire. Also draw some flux lines.

(c) Calculate the effective cross-sectional flux area of the air-core inductor.

(d) Do 3 iterative calculations to solve the number of turns (tightly wound next to each other) required to achieve the inductance in (a). Comment on your result after each iteration.

(a) Fill in the missing blanks on the following ANOVA table. (Enter your answers as whole numbers except for the test statistic value. Round the test statistic value to three decimal places.)

(b) How many explanatory variables were in this model? (Enter your answer as a whole number.)

(c) What was the sample size of the data set this model was built upon? (Enter your answer as a whole number.)

(d) What is the value of the error degrees of freedom? (Enter your answer as a whole number.)

(e) Test the overall fit of the model. State the appropriate test statistic name, degrees of freedom, test statistic value, and the associated p-value (Enter the degrees of freedom as a whole number, the test statistic value to three decimal places, and the p-value to four decimal places).

(f) What is the value of R²? (Enter your answer to two decimal places.)

I am buying a new house today and plan to make some updates and fixes to the new place over the next four years.

Expenses include:

$1,000 for an electric dog fence, installed today but payment is not due until two years from now

$8,000 for new laminate flooring in much of the house, installed now and payment is due now

$12,000 for a new shower and master bath - will wait four years to do this install and pay cash at that time

$500 to add electrical outlets to the unfinished basement - will complete in two years, and pay cash at that time

$5,000 to demo old concrete patio and replace with paver patio including built-in seating and a fire pit - will complete in four years and pay cash at that time

Create a spreadsheet to calculate the amount of money I will need to have on hand today in order to make the expected payments over the next four years. My time value of money is 5%.

Please show to solve in excel.