You are the HR director at Springtime Manufacturing, which employs 75 people. The VP of Human Resources has asked that you evaluate the following situations. Please provide in the format of a memorandum to the VP with captions labeling each issue and addressing the questions posed. (See template at end)

1. Springtime operates a distribution center in an old building with 3 floors. While the first two floors can be accessed with an elevator that holds up to 500 lbs, the third floor elevator has a maximum weight capacity of 250 lbs. Thus, with an average weight of 100 lbs per freight load, this elevator can only support a person weighing a maximum of 150 lbs. Springtime has a sign that specifically forbids any employee weighing more than 150 lbs from using the elevator to the third floor, which is used to house inventory. Please evaluate whether this policy violates Title VII.

Assessment Rubric for Assignment 4-     20 points total

Identification of Legal Issues (Clarity) 5 points Is the legal issue correctly identified for each situation presented?

Analysis Explanation (Content) 5 points Does the memorandum use the correct analysis for each identified issue and thoroughly explain the analysis?

Application of Analysis to Facts (Evidence Evaluation) 5 points Does each analysis include all applicable facts?

Conclusion (Are conclusions appropriate based on evaluation and appropriate use of terminology) 5 points

In the lottery of a certain state, players pick six different integers between 1 and 49, the order of the selection being irrelevant. The lottery commission then selects six of these numbers at random as the winning numbers. A player wins the grand prize of $1,200,000 if all six numbers that he has selected match the winning numbers. He wins the second and third prizes of $800 and $35 respectively, if exactly five and four of his six selected numbers match the winning numbers. What is the expected value of the amount a player wins in one game?

Let x be the amount that a player wins in one game. To answer the question above, we need to find:

P(x=1,200,000)

P(x= 800)

P(x=35)

P(x=0)

We’ll find these probabilities using combinations.

P(x=1,200,000) = 1/49C6 = .000000072

P(x=800) = (6C5)*(43C1)/49C6 = .000018

P(x=35) = (6C4)*(43C2)/ 49C6 = .00097

P(x=0)= 1- .000000072 - .000018 - .00097 = .999011928

We can then put this into a probability distribution table:

1.     What is the expected value of the winnings per game?

2.    Discussion: Go to your discussion board for project 4 and answer the following questions in at least a paragraph. If the tickets cost 50 cents each, what is the expected loss per game? If a person plays 100 games over a period of years, how much will he expect to lose in total? Please explain how you arrived at your conclusions. Respond constructively to at least one other student.

A) Set up the Hypothesis test

B) Determine the distribution needed

C) State what your random variable

D) State the distribution to use for the test

E) State the Test Statistic

F) Calculate the p-value using the normal distribution for proportions

G) In one to two complete sentences, explain what the p-value means for this problem

H) State about the Null Hypothesis

I) Draw and label the Graph for this problem

J) Compare α and the p-value

K) Conclusion

Riddle begins below:

"Blowing Bubbles," by Sondra Prull

Studying stats just made me tense,

I had to find some sane defense.

Some light and lifting simple play

To float my math anxiety away.

Blowing bubbles lifts me high

Takes my troubles to the sky.

POIK!

They're gone, with all my stress

Bubble therapy is the best.

The label said each time I blew

The average number of bubbles would be at least 22.

I blew and blew and this I found

From 64 blows, they all are round!

But the number of bubbles in 64 blows

Varied widely, this I know.

20 per blow became the mean

They deviated by 6, and not 16.

From counting bubbles, I sure did relax

But now I give to you your task.

Was 22 a reasonable guess?

Find the answer and pass this test!

Consider 50 moles of carbon dioxide in a piston-cylinder that is isothermally compressed at temperature of T=350 K from 100 kPa to 400 kPa. What are the changes in the total entropy (of the Universe), the system, and the surroundings if the gas is compressed using a heat reservoir at a temperature of 350 K? Using a heat reservoir at a temperature of 250 K? You can assume that the processes within the piston-cylinder system are internally reversible.

A gas is confined to a cylindrical volume with a movable piston on one end. Initiall, the volume of the container is 0.160 m^3, and the gas is at 315 K. The gas is heated, but the piston is moved such that the temperature of the gas remains constant.

If there are 1.60 moles of gas in the container, write an equation for the pressure of the gas as a function of the volume of the container. (Assume SI units, and do not include units in your answer. Use the variable, V, as necessary.)

A hand-driven tire pump has a 2.00 cm diameter piston and a maximum stroke of 32.0 cm.

(a) How much work do you do in one stroke if the average gauge pressure is 2.40 ✕ 10⁵ N/m² (about 35 psi)? (You may consider this an isothermal process.)
J
(b) What average force do you exert on the piston, neglecting friction and gravity?
N

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x(t) = 15.0 cos(20.0t) where xis in centimeters and t is in seconds. At t = 1 s, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion. (f) Sketch a plot of the acceleration as a function oftime. Scale the plot properly.

Fiji tattslotto sells a lottery ticket for two dollars. Out of 10,000 tickets printed for this lottery, 1 ticket has a price of five thousand dollars, 5 tickets have a price of one thousand dollars each, 100 tickets have a price of $10 each and 1000 tickets contain a price of five dollar each. Let X be the r.v. that denotes the net amount a player wins in this lottery.

a write the probability of distribution of X.

b.Determine the mean of X.

1. A uniform pressure of 5.7 × 10⁵ N/m² is applied to all six sides of a copper cube. What is the percentage change in volume of the cube?

2. A liquid (p = 1.65 g/cm³ ) flows through a horizontal pipe of varying cross-section as in Figure. In the first section, the cross-sectional area is 10.0 cm² , the flow speed is 275 cm/s, and the pressure is 1.20 x 10⁵ Pa. In the second section, the cross-sectional area is 2.50 cm² . Calculate the smaller section’s (a) flow speed and (b) pressure.

3. A hydraulic lift raises a 2 000-kg automobile when a 500-N force is applied to the smaller piston. If the smaller piston has an area of 10 cm² , what is the cross-sectional area of the larger piston?