A group conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $25,858. Assume that the cost of a wedding is normally distributed with a mean of $25,858 and a standard deviation of $5,700.

(a)

What is the probability that a wedding costs less than $18,000? (Round your answer to four decimal places.)

(b)

What is the probability that a wedding costs between $18,000 and $32,000? (Round your answer to four decimal places.)

(c)

What is the minimum cost (in dollars) for a wedding to be included among the most expensive 5% of weddings? (Round your answer to the nearest dollar.)

Federal law under Title 49 of the United States Code, Chapter 301, Motor Vehicle Safety Standard took effect on January 1, 1968 and required all vehicles (except buses) to be fitted with seat belts in all designated seating positions. While most states have laws requiring seat belt use today, some people still do not “buckle up.” Let’s assume that 90 % of drivers do “buckle up.” If drivers are randomly stopped to check seat belt usage, answer the following questions and show your work.

How many drivers do they expect to stop before finding a driver whose seatbelt is not buckled?

What is the probability that the second unbelted driver is in the ninth car stopped?

What is the probability that of the first 10 drivers, 8 or more are wearing their seatbelts?

If they stop 30 cars during the first hour, find the mean and standard deviation of the number of drivers not expected to be wearing seatbelts?

If they stop 120 cars during this safety check, what is the probability they find at least 12 drivers not wearing seatbelts?

(Please type response, handwritten responses can be difficult to understand)

For some time the United States Government has been collecting student loan debt from Social Security benefits. The amount it can collect each month cannot be more than 15%. But with over 50% of retirees relying solely on Social Security for their income this has a tremendous impact. The Government does collect about one billion dollars doing this, but it is a mere pittance with the total student loan debt at 1.4 Trillion dollars. And, as we learned student loans cannot be discharged in bankruptcy, except for very, very rare circumstances of undue hardship. I have some ideas on what to do about this horrendous situation, but I would like you to post a short paragraph under this discussion question about your ideas as to what can be done. If you do so, I will add 10 points to your Exam 02 score

Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 picture Click here for the Excel Data File Draw a graph showing the population distribution. (Click on the x-axis exactly below the "0" point and then drag the bar till it reaches the correct answer.) Compute the population mean. (Round your answer to 1 decimal place.) Compute the standard deviation. (Round your answer to 2 decimal places.) If you were able to list all possible samples of size five from this population of 20, how would the sample means be distributed? What would be the mean of the sample means? (Round your answer to 2 decimal places.) What would be the standard deviation of the sample means? (Round your answer to 2 decimal places.)?

1. One-Way Within-Subjects ANOVA

A researcher noticed that many products sold in the United States depict famous people or characters. To determine whether this actually influences how much children like these products, the researcher game children a block of wood. On the top of the block of wood was a sticker of either a superhero, a parent, a teacher, or no person at all (just a plain colored sticker). Children were allowed to handle each block of wood for two minutes, and then asked to rate how much they liked each block of wood on a pictorial scale. These types of scales are typically used with children. Higher ratings indicated greater liking (the ratings are given by group below). Test whether the stickers influenced liking for the block of wood at a .05 level of significance.

Based on the output given in SPSS, Complete the following F table (assume sphericity):

Based on the value of the test statistic, what is the decision for the one-way within-subjects ANOVA? (highlight one)

Not Significant Significant

Write the statistic in APA format: ________________________

State which pair of groups significantly differed using a Fisher’s LSD post-hoc tests. Remember, SPSS places an asterisk next to each significant difference in the “Mean Differences” column of the output table.

1. What controls the short-term interest rate in the United States?

2. Jerome Powell, Fed Chairman, said that 1) an inflation risk is moderate; 2) the economy is doing well, and 3) a decision can be made in this week's Fed committee meeting on short-term interest rate. Assume the current short term interest rate is 1%.

3. After the the Fed chairman announced a quantitative easing, what should you do if you do not want to see the Chinese currency to appreciate in value against the U.S. currency? Why

1. The United States Education department recently required that high schools must hire five additional teachers with Master’s degrees in Mathematics.

a. It will take a few months to initiate the hiring process. Discuss the immediate effect on the salaries of teachers with Master’s degrees in Mathematics? Illustrate graphically the effects on the market for Master’s degree mathematic teachers in the short-run.

b. What will be the effect after five years? Discuss and illustrate graphically the effects on the market for Master’s degree mathematic teachers in the long-run. How does the salary in the long-run compare to the short-run and why?

c. Discuss the differences between the short-run and long-run elasticities of supply.

Problem 9-09 (Algorithmic)

Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon’s customers make reservations through Epsilon’s website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon’s management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers.

Epsilon analysts have estimated the minimum number of call center employees needed by day of the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows:

The call center employees work for five consecutive days and then have two consecutive days off. An employee may start work on any day of the week. Each call center employee receives the same salary. Assume that the schedule cycles and ignore start up and stopping of the schedule.

Develop a model that will minimize the total number of call center employees needed to meet the minimum requirements.

Find the optimal solution.

Total Number of Employees =

Give the number of call center employees that exceed the minimum required.

Excess employees:

Critical Thinking Case Study

NS is a 72-year-old woman who immigrated to the United States from Egypt 5 years ago. She is a widow, has five grown children, and follows Islamic doctrine. She lives with her oldest daughter, and a younger daughter and three sons live near her home. NS is currently hospitalized due to a recent cerebral vascular accident. She has left-sided paralysis. The attending physician tells the patient she should go to a rehabilitation unit for 3 weeks for physical therapy. The oldest daughter is present for the physician’s visit. Both the patient and her daughter appear anxious but do not ask the physician any questions.

Medications Prescribed Warfarin 3mg DQ, check INR every week, Aspirin 81mg, Metoprolol 25mg DQ, Hydrochlorothiazide 12.5mg. , Celexa 10mg QD, The RN develops a discharge teaching plan to address anxiety, medications, safety & depression.

List the goal for this teaching/coaching plan Anxiety,Medications,Safety & Depression

Describe three teaching resources what resources can she use to complete teaching?

Identify the teaching strategies that can be used

List the specific instructions that may be needed regarding her medication and what adverse reactions to be aware of/and what to do

Identify two factors that may negatively influence adherence to the medication and how they can be overcome

Describe how to include the family

Provide information on how and when she should seek support and help