The regional transit authority for a major metropolitan area wants to determine whether there is any linear relationship between the mileage of a bus and the market resale value of the bus. A very small random sample resulted in the following data:

a. Use the method of OLS to compute the slope and intercept of the sample linear regression line. You need to decide which one is the defendant variable. In addition, write down the estimated sample regression line. Show all of your computations.

b. Explain the meaning of estimated sample intercept and slope in the context of this problem and in plain English.

c. Use a level of significance of 0.05 to check if the population slope is statistically equal to or different from zero. What is your conclusion? Why? Make sure the null and alternative hypotheses are explained in plain English. Also, show the decision rule and critical points or the p-value.

d. Compute the value of coefficient of determination. Explain what it means in the context of this problem and in plain English.

The regional transit authority for a major metropolitan area wants to determine whether there is any linear relationship between the mileage of a bus and the market resale value of the bus. A very small random sample resulted in the following data:

a. Use the method of OLS to compute the slope and intercept of the sample linear regression line. You need to decide which one is the defendant variable. In addition, write down the estimated sample regression line. Show all of your computations.

b. Explain the meaning of estimated sample intercept and slope in the context of this problem and in plain English.

c. Use a level of significance of 0.05 to check if the population slope is statistically equal to or different from zero. What is your conclusion? Why? Make sure the null and alternative hypotheses are explained in plain English. Also, show the decision rule and critical points or the p-value.

d. Compute the value of coefficient of determination. Explain what it means in the context of this problem and in plain English.

The manufacturer of a new hybrid sports utility vehicle (SUV) states that it gets an average of 48 miles per gallon (mpg) on the highway. A consumer group suspects that perhaps the new SUV’s gas efficiency is lower than the manufacturer’s statement. Assume that the gas efficiency of the SUV is approximately normally distributed. The consumer group randomly tests 13 of the new SUV’s under similar highway conditions and obtains the following results: 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50
1a) Write the hypotheses statements below to test the consumer group’s claim

2) Explain what type of hypothesis testing you will perform and whether conditions are met.

3a) Test this hypothesis using a significance level of α = 5%. Clearly label a sketch with appropriate shading and calculate the test statistic

4 Would you reject or fail to reject the null hypothesis?

5 Using a significance level of α = 5%, write a conclusion in the context of this problem

A friend is looking for an SUV that averages 48 mpg or more on the highway. Would you advise your friend to purchase this new model SUV? Yes or No

Consider a mid-size city of 3,000,000 people in the Cairo city . Suppose that its residents produce, on average, 6.0 kg a day of MSW. At present this waste is being hauled 180 miles away (in a southeasterly direction) where it is being used to fill in an abandoned open pit nickel mine. The mine and deposited wastes abut a shallow marine embayment. Seaweed, shellfish, crustaceans, and fish are harvested from this embayment and eaten by both the local fishermen and their families as well as by the residents of the city.

Facts about the waste:

55 % of the waste is composed of agricultural waste and household non-sewer organics

35 % of the waste is household waste, including paper, glass and plastics

10 % of the waste is a combination of metal, wood, chemical, petroleum, and other miscellaneous materials.

Calculate how much methane could be generated from the anaerobic decay of the landfill waste over a 10 year time period. What, if anything, could be done with this methane? Would more, less, or the same amount of methane be produced if the waste was simply incinerated? Which waste disposal method provides the biggest threat to environmental sustainability and human health? Explain your answer.

The accompanying table shows a portion of a data set that refers to the property taxes owed by a homeowner (in $) and the size of the home (in square feet) in an affluent suburb 30 miles outside New York City.

a. Estimate the sample regression equation that enables us to predict property taxes on the basis of the size of the home. (Round your answers to 2 decimal places.)

TaxesˆTaxes^ =  +  Size.

b. Interpret the slope coefficient.

• As Property Taxes increase by 1 dollar, the size of the house increases by 6.91 ft.

• As Size increases by 1 square foot, the property taxes are predicted to increase by $6.91.

c. Predict the property taxes for a 1,200-square-foot home. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

  TaxesˆTaxes^               

Expanding Universe

For this week’s assignment, please answer EACH of the following questions/prompts,and post them to the drop box as a single document.

1. What is a particle accelerator?
   How do scientists use particle accelerators to study subatomic particles?
2. What particle is exchanged to generate each of the four fundamental forces?
3. What medical technologies (e.g. PET) rely on the physics of elementary particles?
   What are the benefits of noninvasive procedures such as PET?
4. How is astronomy the oldest science?
5. How does the energy produced at the core of the Sun reach the photosphere?
6. Why won’t the Sun become a supernova or black hole?
7. Why does the existence of the cosmic redshift lead to the big bang picture of the universe?
8. If a galaxy is 1,000 Mpc away, how fast is it receding from us?
9. The average temperature of the universe is 2.7 Kelvin. What is that temperature in degrees Fahrenheit?
10. The Milky Way has a radius of approximately 100,000 light years. How many miles is that? How long would it take you to travel across our galaxy if you were traveling at 50% the speed of light (be sure to show your work for full credit)?

The setting is a moderately sized community, with a population of about 150,000 people. It is a cluster of homes, with a short distance between other clusters of homes. It was once a manufacturing city, but has now been met with decline. The neighboring areas are smaller communities but healthcare is centered around this clinic. Your facility is in the center of this community. Your group is tasked with establishing a new ambulatory care clinic to meet the needs of the aging population in this region. There is a hospital about 20 miles away, but it is felt that the area is under-served, thus the need for this clinic. This is the final department to be established – the ambulatory care, with services for urgent care, pediatrics, and a diabetes care center. The area has few physicians but has a large pool of family nurse practitioners that have demonstrated interest in this endeavor. Your group was chosen because of your previous background and expertise as well as, the diverse members who bring a variety of management skills with them

Identification of a framework or philosophy of nursing should be developed; Identify the style of nursing you would use; Analyze the major factors that are escalating the cost of healthcare today and apply those factors to the nursing healthcare delivery system

At a local auto parts store, the economy ball joints have questionable quality. In the supply the 20 at the stir 7 are unstable for install in a vehicle.

A. If 4 customers purchase ball joints from the supply (1 joint per customer for a total of 4) what is the probability that at most one of the customers will need to return for a replacement?

B. From part a) assume that a customer did in fact need to return one of the joints (no other customer need to return). What is the probability this customer will need to return again if they decide to buy 2 joints the second time (both joints defective)

C. Upon installing a non-defective ball joint in his car, Ralph forgets to properly torque the lug nuts on his wheel. If the wheel has a 5 lug pattern what is the probability that he will make it exactly 15 miles back to the parts store to return the extra ball joint if the probability a lug will come off in any given mile is .25? (Wheels fall off in parking lot when he locks the door) You may assume the lugs will not fall off at the same time.

John has always had problems with maintaining his weight, and he is used to counting kilocalories and maintaining an active lifestyle. He has noticed that recently his diet of 2,500 kilocalories is no longer good for him. He is steadily gaining weight, and he has to go on a weight-loss diet from time to time to stay in shape. John is now 53; he is 5 feet 9 inches tall and weighs 168 pounds. He loves exercise. He bikes a 28-mile route with his cycling club on Mondays, plays volleyball on Thursdays, and runs 3 to 5 miles on other days. What is John’s EER and how many kilocalories should he consume to maintain his weight? The Harris-Benedict equation for calculation of Resting Metabolic Rate (RMR) is as follows: Adult males RMR (kcal) = 66.5 + (13.7 × weight in kilograms) + (5.0 × height in centimeters) – (6.8 × age) EER = RMR (from Harris-Benedict equation) × activity factor

Round the final number of kilocalories to the nearest whole number. During calculations, use numbers rounded to the first decimal place.