Study of why EMS workers leave the job. An investigation into why emergency medical service (EMS) workers leave the profession was published in the Journal of Allied Health (Fall 2011). The researchers surveyed a sample of 244 former EMS workers, of which 127 were fully compensated while on the job, 45 were partially compensated, and 72 had noncompensated volunteer positions. The numbers of EMS workers who left because of retirement were 7 for fully compensated workers, 11 for partially compensated workers, and 10 for noncompensated volunteers. One of the 244 former EMS workers is selected at random. Find the probability that the former EMS worker was fully compensated while on the job.

Study of why EMS workers leave the job. A study of fulltime emergency medical service (EMS) workers published in the Journal of Allied Health (Fall 2011) found that only about 3% leave their job in order to retire. (See Exercise $3.45$, p. 158.) Assume that the true proportion of all fulltime EMS workers who leave their job in order to retire is $p=.03$. In a random sample of 1,000 full-time EMS workers, let $\hat{p}$ represent the proportion who leave their job in order to retire. Compute $P(\hat{p}<.05)$. Interpret this result.

Study of why EMS workers leave the job. A study of fulltime emergency medical service (EMS) workers published in the Journal of Allied Health (Fall 2011) found that only about $3 \%$ leave their job in order to retire. (See Exercise $3.45$, p. 158.) Assume that the true proportion of all fulltime EMS workers who leave their job in order to retire is $p=.03$. In a random sample of 1,000 full-time EMS workers, let $\hat{p}$ represent the proportion who leave their job in order to retire. Describe the properties of the sampling distribution of $\hat{p}$.

A hospital emergency room analyzed n = 17,664 hourly observations on its average occupancy rates using six binary predictors representing days of the week and two binary predictors rep- resenting the 8-hour work shift (12 a.m.–8 a.m., 8 a.m.–4 p.m., 4 p.m.–12 a.m.) when the ER census was taken. The fitted regression equation was AvgOccupancy = 11.2 + 1.19 Mon - 0.187 Tue - 0.785 Wed - 0.580 Thu - 0.451 Fri - 0.267 Sat - 4.58 Shift1 - 1.65 Shift2 (SE = 6.18, $R^2$ = .094, ${R^2_{adj}}$ = .093).

Which is the busiest day?

Study of why EMS workers leave the job. Refer to the Journal of Allied Health (Fall 2011) study of why emergency medical service (EMS) workers leave the profession, Exercise $3.45$ (p. 158). Recall that in a sample of 244 former EMS workers, 127 were fully compensated while on the job, 45 were partially compensated, and 72 had noncompensated volunteer positions. Also, the numbers of EMS workers who left because of retirement were 7 for fully compensated workers, 11 for partially compensated workers, and 10 for noncompensated volunteers. Given that the former EMS worker had a noncompensated volunteer position, estimate the probability that the worker left the EMS profession due to retirement.

The Lowatsky family had $9,441 worth of hurricane damage that was not covered by insurance. They need to follow IRS procedures to take a casualty deduction on Schedule A. a. The IRS requires that$100 be deducted from each casualty. What is the total casualty loss after the $100 is deducted? b. Their adjusted gross income is$67,481. Find 10% of their adjusted gross income. c. Their Schedule A casualty deduction can be found by subtracting 10% of the adjusted gross income from the answer to part a. What is their casualty loss deduction?

Sean and Mason run out of gas while fishing from their boat In the bay. They set off an emergency flare with an Initial vertical velocity of 30 meters per second. The height of the flare In meters can be modeled by $h(t)=-5t^2+30t$, where t represents the number of seconds after launch.
Choose the letter for the best answer.
The boys fire a similar flare from the deck 5 meters above the water level. Which statement is correct? A The flare will reach 45 m in 3 s. B The flare will reach 50 m in 3 s. C The flare will reach 45 m in 3 5 s. D The flare will reach 50 m in 3.5 s.

Carole Finney rents an apartment for $640 a month and pays$120 for insurance and $820 for utilities yearly. She can buy a home with about the same space for$52,000. If she buys the home, she must withdraw $10,400 from her savings account and lose$624 interest. Her other home ownership expenses are estimated to be $9,300. She also estimates that owning a home will save her$1,428 in income taxes.

What is her total cost of renting for the year?

A UK-based life insurance company will pay a cash-value sum of $\pounds 500000$ when the insured reaches the age of 65. The insured will be 65 years old 27 years from today. (a) Determine the cash value of the $\pounds 500,000$ in CV purchasing power, assuming inflation remains constant at 3% per year. (b) Write the spreadsheet single-cell function that displays the answer. (c) Convert your answer to U.S. dollars and euros using current exchange rates.

Henry is a 65-year-old man who was admitted to the emergency room after a fall. A radiograph confirmed that he had fractured the proximal part of his arm bone (surgical neck of the humerus). The radiograph also revealed that his bone matrix was not as dense as it should be for a man his age. A test for blood calcium ion was normal. On questioning, Henry confessed that he is a junk food addict who eats few vegetables and never consumes dairy products. In addition, Henry never exercises and seldom goes outdoors except at night.

Why is Henry more likely to break a bone than are most men his age?

Bailey managed a gas station. He was required to use his station wagon to make emergency calls for the station. Tools were carried in the car, and the service station paid for the gas and oil it used. Bailey owned another car that was used as a “family car.” One morning while driving to work, Bailey was struck and killed by a train. His wife filed a claim for workers’ compensation benefits. The Industrial Commission denied the claim, stating that travel to and from work is not covered by workers’ compensation insurance. Was Bailey’s death caused by his work? Is his widow entitled to the death benefit? (Bailey v. Utah State Industrial Commission, 16 P.2d 208, Utah)

A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than 0.5 minutes. A random sample of 25 waiting times has a standard deviation of 0.7 minutes. At $\alpha=0.10$, can you reject the spokesperson's claim?

a) write the claim mathematically and identify $H_0$ and $H_a$,

b) find the critical value(s) and identify the rejection region(s),

c) use the $\chi^2$-test to find the standardized test statistic,

d) decide whether to reject or fail to reject the null hypothesis,

e) interpret the decision in the context of the original claim. For each claim, assume the population is normally distributed.

A gigantic warehouse located in Tampa, Florida, stores approximately 60 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse.The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A University of South Florida statistician was hired by the insurance company to estimate p , the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate the true proportion to within .02 with 90% confidence?

The following table gives the educational attainment of African Americans and Hispanic Americans 25 years and older since 1980.

$$\begin{matrix} \text{ } & \text{African American} & \text{ } & \text{Hispanic American} & \text{ }\\ \hline \text{ } & \text{Percentage with 4 Years} & \text{Percentage with 4 Years} & \text{Percentage with 4 Years} & \text{Percentage with 4 Years}\\ \text{Year} & \text{of High School or More} & \text{of College or More} & \text{of High School or More} & \text{of College or More}\\ \text{1980} & \text{51.2} & \text{7.9} & \text{45.3} & \text{7.9}\\ \text{1985} & \text{59.8} & \text{11.1} & \text{47.9} & \text{8.5}\\ \text{1990} & \text{66.2} & \text{11.3} & \text{50.8} & \text{9.2}\\ \text{1995} & \text{73.8} & \text{13.2} & \text{53.4} & \text{9.3 }\\ \text{2000} & \text{78.5} & \text{16.5} & \text{57.0} & \text{10.6}\\ \text{2005} & \text{81.3} & \text{17.6} & \text{58.5} & \text{12.0}\\ \text{2010} & \text{84.2} & \text{19.8} & \text{62.9} & \text{13.9}\\ \end{matrix}$$

(a) Write a matrix for the educational attainment of African Americans. (b) Write a matrix for the educational attainment of Hispanic Americans. (c) Use the matrices from parts (a) and (b) to write a matrix showing the difference in educational attainment between African and Hispanic Americans.