Scenario
Tim is a 40-year-old sustainable farmer who works daily in his farm fields. After a long day getting his fields ready for planting, he comes in and falls into bed, exhausted.

The next morning as he’s taking a shower, he feels a small lump on the back of his leg, behind his knee. Since he can’t really see it, he dries off and asks his wife to look at it. Initially she thinks it looks like a scab, but upon closer inspection she notices it has legs!

She runs for the tweezers and pulls the tick off, and then notices that he actually has three more ticks embedded higher up on the back of his thigh.

Signs and Symptoms
Tim had been bitten by ticks and treated for Lyme disease before, so he decided to wait to see if a rash developed. After checking the spots daily for a week and not seeing anything other than a small, red, raised area around a few of the tick bite sites, he stopped worrying.

About 10 days later, Tim developed a fever and started to have bouts of extreme fatigue that were not alleviated by resting or sleep. The fatigue got to the point that he couldn’t get out of bed. When he started to act disoriented and confused, his wife drove him to the hospital.

Testing
Blood was drawn and sent to the hematology, clinical chemistry, and microbiology laboratories.

Question 1: What symptoms would indicate that Tim’s disease could be due to an infection involving the central nervous system?

Question 2: What is the significance of these findings in the peripheral blood smear?

While his attending physician struggled to figure out what was wrong, Tim became unresponsive. Additional samples were sent to serology to assess his exposure to viruses known to cause encephalitis, specifically West Nile Virus (WNV), Eastern Equine Encephalitis Virus (EEE), and Powassen Virus (POW), as well as tests for other tick-borne diseases common to his area.

Serology Test Results:
WNV, EEE, and POW—negative
Lyme disease serology—equivocal
Babesia microti and B. duncanii —negative
Ehrlichia monocytogenes—negative
Anaplasma phagocytophilium—positive

Question 3: Discuss the results of the collective laboratory tests— are the serology test results consistent with what the hematologist observed in the stained blood smear?

Question 4: Do you think Tim has Lyme disease?

Diagnosis
Tim was diagnosed with anaplasmosis, caused by Anaplasma phagocytophilium.

Question 5: Is it necessary for the hospital to report Tim’s case of anaplasmosis to the CDC for disease surveillance? Why?

Over the next two months, seven other people with Tim’s symptoms were admitted to the same regional hospital. Six tested positive for anaplasmosis and were successfully treated, but the seventh person died before a diagnosis could be reached. She subsequently was found to be positive for Anaplasma. In the previous year, there had been no cases of anaplasmosis diagnosed at the hospital.

Question 6: What epidemiological term(s) apply to this scenario?

Treatment
Once it was affirmed that Tim was infected with Anaplasma, treatment with IV ceftriaxone was immediately started via a peripherally inserted central catheter (PICC). After 2 days on the antibiotic he was alert but still overwhelmingly fatigued. After a week he was feeling well enough to be released from the hospital, but visited an infusion center daily for the rest of the month. He was also given oral doxycycline.

By the end of the year, a total of 26 cases of anaplasmosis were diagnosed at the hospital, which was the only medical facility in Tim’s county of residence. The county population (from census data) that year was 6,982 people.

Question 7: What is the incidence of anaplasmosis in Tim’s county?

Question 8: Is this also the prevalence of anaplasmosis in Tim’s county? Why?

A sample of students from an introductory psychology class were polled regarding the number of hours they spent in studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. There data are below: 4.5, 22, 7, 14.5, 9, 9, 3.5, 8, 11, 7.5, 18, 20, 7.5, 9, 10.5, 15, 19, 2.5, 5, 9, 8.5, 14, 20, 8.

A. based on the sample results, find the 95% confidence interval.

B. Interpret the result

C.Do you expect a 90% confidence interval to be wider or narrower and why.

12. A manager reported that 50 employees were working in the operation at the beginning of an accounting period, and 70 employees at the end of the period. During the accounting period 20 employees voluntarily left their employment and 4 employees were terminated. What was this manager's overall employee turnover rate in the accounting period?

50%

400%

500%

40%

[Questions 16-18] Use the following labor expense information for answering the next 3 questions.

16. Comparing the labor cost percentage, which day is the least productive day?

Friday

Saturday

Thursday

Sunday

17. What was the manager’s sales per labor hour on Friday?

$ 52.00

$ 42.00

$ 48.00

$ 50.00

18. Comparing the number of guests served per labor hour, which day is the most productive day?

Sunday

Friday

Thursday

Saturday

Question 20-21]  Ice bear operates a fine dining restaurant called the “The Egloo.” His labor productivity ratio of choice is guests served per labor hour. His standards are as follows:

• Servers = 10 guests per labor hour
• Buspersons = 25 guests per labor hour

Use the Guest Forecast chart below to answer the following questions 20 & 21.

20. How many busperson labor hours should Ice Bear schedule for the time period from 8:00 to 9:00?

8

5

7

6

21. How many server labor hours should Ice Bear schedule for the time period from 12:00 to 1:00?  

18

20

21

17

[Question 23-24] Use the following chart for the next two questions.

The Egloo – Compiled data from 2019

23.Calculate the sales per labor hour using the above chart.

$ 24.23

$ 26.19

$ 21.53

$ 11.75

24. Calculate the labor expense percent using the above chart in question 23.

65.5%

38%

25%

30%

Problem 8-25 (Algorithmic)

Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here:

For example, Cabinetmaker 1 estimates that it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 40/50 = 0.8, or 80%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 40/60 = 0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets.

1. Formulate a linear programming model that can be used to determine the proportion of the oak cabinets and the proportion of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimize the total cost of completing both projects.
   

   Let	O1 = proportion of Oak cabinets assigned to cabinetmaker 1
   	O2 = proportion of Oak cabinets assigned to cabinetmaker 2
   	O3 = proportion of Oak cabinets assigned to cabinetmaker 3
   	C1 = proportion of Cherry cabinets assigned to cabinetmaker 1
   	C2 = proportion of Cherry cabinets assigned to cabinetmaker 2
   	C3 = proportion of Cherry cabinets assigned to cabinetmaker 3

   Min

   O1 (ANSWER)

   +

   O2 (ANSWER)

   +

   O3 (ANSWER)

   +

   C1 (ANSWER)

   +

   C2 (ANSWER)

   +

   C3 (ANSWER)

   s.t.

   O1 (ANSWER)

   C1 (ANSWER)

   ≤

   (ANSWER)

   Hours avail. 1

   O2 (ANSWER)

   +

   C2 (ANSWER)

   ≤

   (ANSWER)

   Hours avail. 2

   O3 (ANSWER)

   +

   C3 (ANSWER)

   ≤

   (ANSWER)

   Hours avail. 3

   O1 (ANSWER)

   +

   O2 (ANSWER)

   +

   O3 (ANSWER)

   =

   (ANSWER)

   Oak

   C1 (ANSWER)

   +

   C2 (ANSWER)

   +

   C3 (ANSWER)

   =

   (ANSWER)

   Cherry

   O1, O2, O3, C1, C2, C3 ≥ 0

2. Solve the model formulated in part (a). What proportion of the oak cabinets and what proportion of the cherry cabinets should be assigned to each cabinetmaker? What is the total cost of completing both projects? If required, round your answers for the proportions to three decimal places, and for the total cost to two decimal places.
   

   	Cabinetmaker 1	Cabinetmaker 2	Cabinetmaker 3
   Oak	O1 =	O2 =	O3 =
   Cherry	C1 =	C2 =	C3 =

   
   Total Cost = $  
   
3. If Cabinetmaker 1 has additional hours available, would the optimal solution change?
   
   Explain.
   
   The input in the box below will not be graded, but may be reviewed and considered by your instructor.
   
4. If Cabinetmaker 2 has additional hours available, would the optimal solution change?
   
   Explain.
   
   The input in the box below will not be graded, but may be reviewed and considered by your instructor.
   
5. Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimal solution? If required, round your answers for the proportions to three decimal places, and for the total cost to two decimal places.
   

   	Cabinetmaker 1	Cabinetmaker 2	Cabinetmaker 3
   Oak	O1 =	O2 =	O3 =
   Cherry	C1 =	C2 =	C3 =

   
   Total Cost = $  
   
   Explain.
   
   The input in the box below will not be graded, but may be reviewed and considered by your instructor.
   

The number of airplane landings at a small airport follows a Poisson distribution with a mean rate of 3 landings every hour.

4.1 (6%)

Compute the probability that 3 airplanes arrive in a given hour?

4.2 (7%)

What is the probability that 8 airplanes arrive in three hours?

4.3 (7%)

What is the probability that more than 3 airplanes arrive in a period of two hours?

For this project, you will look at exam scores for two different sections of the same class: an 8am section and a 12pm section. Both sections were given the same exams. In each section there were two versions distributed: Version A and Version B. So in each section some students got version A and some students got Version B. You will use CrunchIt to create graphs and compute values in this assignment. The data file can be found in Moodle under the “Data Sets” portion of the “Misc” section. It is named ExScores (I HAVE LISTED ExScores SCORES BELOW). Keep in mind that answers to questions need to be justified. However, keep explanations/justifications BRIEF!!!!

ExScores DATA:

Score out of 100,Exam Version,Section Time
80.5,A,8
87.5,A,8
70,A,8
80.5,A,8
55.5,A,8
89.5,A,8
68.5,A,8
65.5,A,8
62,A,8
94,A,8
62,A,8
54,A,8
90,A,8
66.5,A,8
82,B,8
75.5,B,8
80.25,B,8
52.5,B,8
49,B,8
87.75,B,8
59,B,8
68.5,B,8
43,B,8
88,B,8
90.5,B,8
91,B,8
85,B,8
42,B,8
35,A,12
56.5,A,12
70.75,A,12
78,A,12
65,A,12
41,A,12
67.5,A,12
49,A,12
52,A,12
66.25,A,12
79.75,A,12
52,A,12
56.5,B,12
39.5,B,12
53.5,B,12
43.5,B,12
76,B,12
48.5,B,12
86,B,12
64.5,B,12
87,B,12
56.5,B,12
49,B,12
79.75,B,12
70,B,12
67.5,B,12
80.5,B,12
57,B,12
61.5,B,12
87,B,12

Question 1: Comparing Sections

In this part, we will compare the two sections only and NOT take into consideration the different versions of the exam. We will use the following question to motivate the work that we do.

A. Motivating Question In Part 1, we will try to answer the question: Did one section do better on the exam than the other? 1) Without looking at the data, do you believe that there is a difference in performance between the sections? If so, which one did better?

B. Shape 1) For each section, create a histogram of the data of bin width 10 beginning at 30. Be sure to appropriately name your histograms! 2) What are the classes for the histograms in 1)? 3) Using the graphs in 1), give the shapes of the distributions. 4) For each section, create a histogram of the data of bin width 5 beginning at 30. Be sure to appropriately name your histograms! 5) What are the classes for the histograms in 4)? 6) Using the graphs in 4), give the shapes of the distributions. 7) Based on your answers to 3) and 6) what is the shape of the distributions of exam scores for each section? 8) Does it appear that one section did better than the other? Explain.

C. 1) For each section, give the mean and standard deviation. 2) Interpret the standard deviation for each section. Did one section seem to vary more than the other? 3) For each section, give the five number summary. 4) Do there appear to be any outliers? 5) Graph side by side box plots of the exam scores for each section. Using the boxplots, does it appear that one section did better than the other? Why? 6) For each section, would you say that the mean or the median is a better measure or do they work about the same? 7) Considering only your answers to 1.3, does it appear that one section did better than the other?

D. 1) Do your results fall in line with your initial thoughts on the motivating question?

Deeds Company sells custom-made machine parts to industrial equipment manufacturers by bidding cost plus 40 percent, where cost is defined as manufacturing cost plus order processing cost. There are two types of customers: those who place small, frequent orders and those who place larger, less frequent orders. Cost and sales information by customer category is provided below.

Order-filling capacity is purchased in steps (order-processing clerks) of 1,000, each step costing $45,000; variable order-filling activity costs are $35 per order. The activity capacity is 55,000 orders; thus, the total order-filling cost is $3,899,500 [(55 steps × $45,000) + ($35 × 40,700)]. Current practice allocates ordering cost in proportion to the units purchased.

Deeds recently lost a bid for 100 units. (The per-unit bid price was $2 per unit more than the winning bid.) The manager of Deeds was worried that this was a recurring trend for the larger orders. (Other large orders had been lost with similar margins of loss.) No such problem was taking place for the smaller orders; the company rarely lost bids on smaller orders.

1. Calculate the unit bid price offered to Deeds’s customers assuming that order-filling cost is allocated to each customer category in proportion to units sold. Note: Do not round interim calculations. Round your final answer to the nearest cent.
$

2. Assume that a newly implemented ABC system concludes that the number of orders placed is the best cost driver for the order-filling activity. Assign order-filling costs using this driver to each customer type and then calculate the new unit bid price for each customer type. Note: Do not round interim calculations. Round the final order cost allocation to the nearest whole dollar. Round final bid prices to the nearest cent.

3. What if Deeds offers a discount for orders of 35 units or more to the frequently ordering customers? Assume that all the frequently ordering customers can and do take advantage of this offer at the minimum level possible. Compute the new order cost allocation and bid price.

Note: Round the number of steps UP to the nearest whole number, using that result in future calculations. For the Order Cost Allocation and Bid Price, do not round interim calculations. Then round the final order cost allocation to the nearest whole dollar and final Bid Price the nearest cent.

Can Deeds offer the original price from Requirement 1 to the frequently ordering customers and not decrease its profitability?

Laura Brown worked 46 hours for Baskin Robbins during the last 7-day pay period. Laura is paid $24.00 per hour and time and a half for any hours worked past 40 hours per week.   The state and federal income tax rates applicable to Laura are 12% and 22%, respectively. The FICA tax rate is 8%. Laura instructed her employer to withhold $120 for charitable contributions. In addition, Laura participates in the employer-sponsored medical plan which costs her $60 per pay period in premiums withheld.   Prior to this pay period, Laura’s year to date gross earnings were $35,000.

Prepare the calculation of Laura’s net pay. (SHOW ALL WORK)

1.A firm estimates sales of $250,000 in December, $275,000 in January; $225,000 in February, $300,000 in March, $350,000 in April; $280,000 in May; and $300,000 in June. November sales were $225,000. The firm typically collects 20% of its sales in cash; 50% are accounts receivable paid the month after the sale; and 30% are accounts receivable paid two months after the sale. The firm’s cost of goods sold (raw materials) amounts to 70% of its sales. The raw materials are ordered two months in advance of expected sales, but are paid for one month after they are ordered. The firm has fixed costs of $3,000 per month for rent and $12,000 per month for other fixed operating costs.   The firm has $30,000 per month in salary expense. Assume a starting cash balance of $0 but a minimum cash balance of $10,000 going forward. Prepare the cash budget for January through April. What is the maximum amount of short-term loan the firm will need during the relevant time period?

You may hand-write this part of the assignment and scan it to submit, or you may put it in Excel or Word to submit.

The Dawg Shop normally writes checks in the amount of $25,000 each day. It takes six days for these checks to clear. The firm receives checks in the amount of $22,000 daily but loses five days while they are being deposited and cleared. What is the firm’s disbursement float, collections float, and net float?

With its current system, it takes seven days from the time customers mail payments until The Wood Shed deposits them. A lockbox system would reduce this collection float by three days. If the Wood Shed receives an average of $3,000 in payments per day and its opportunity cost is 12%, how much should The Wood Shed be willing to pay each month for the lockbox system?

Compute the DSO (days sales outstanding) from the following aging schedule.

Account AgeAmount OutstandingAverage Days

0-30 days$75,00024

31-60 days$30,00040

Over 60 days$10,00065

5.The firm's average accounts receivable is $1,000,000 and is financed by a 7% annual interest bank loan. The firm is considering a regional lockbox system which it believes will reduce Accounts Receivable by 20 percent. The annual cost of the system is $20,000. What is the estimated net annual savings to the firm from implementing the lockbox system and should the firm use the system?

6.A firm’s average age of accounts receivable is 40 days. If the firm has annual sales of $650,000, what is the firm's average accounts receivable balance?

The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX]

a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3, H]

b) [4 pts] Find the mean and standard deviation.

c) [2 pts] Find the IQR

d) [2 pts] Are there any outliers in the test scores? Explain

e)[ 1 pt] Suppose one student in the sample is randomly selected. What is the probability that this student scored less than 50 [leave as a fraction]