1. Consider a city in which urban density averages five housing units per acre. The city is fully circular with the CBD at the center. The distance between CBD and the city border is 30 miles. Land at 10 miles from CBD costs $500,000 per acre and land at 20 mile from CBD costs $300,000. Calculate annual transportation cost per mile assuming the city is currently neither growing nor shrinking.

he following table gives the frequency distribution of the total miles
driven during 2015 by a sample of 92 car owners.
Miles Driven (in thousand) Frequency
0 to less than 5 7
5 to less than 10 26
10 to less than 15 59
(a) (3 points) Write down the columns that show the values for m, mf
and m2
f. Then compute the sample mean and the sample standard
deviation for the given data.

As we discussed in our class the notion of organizational culture, structure and styles of management from the perspectives of Handy’s (1976) and Miles & Snow (1978). These authors provided their frameworks that are different from each other’s. What you have to do: Take an organization with which you are familiar or imaginary organization and evaluate & relate or apply Handy’s and Miles & Snow’s typologies (scientific/logical classification/steps of organizational culture, structure and styles) that they provided in their approaches or framework.

Possible Duplicate:
From how high could have Felix Baumgartner jumped without disintegrating like a shooting star?

If a human can skydive from an altitude of 24 miles (39 km), and a satellite can stay in geostationary orbit at 22,236 miles (35,786 km), then what is the maximum altitude from which a human can theoretically "skydive."

Furthermore, what would be that humans' fastest speed? (Felix went 834 mph.)

Cost-volume-profit analysis can also be used in making personal financial decisions. For example, the purchase of a new car is one of your biggest personal expenditures. It is important that you carefully analyze your options.

Suppose that you are considering the purchase of a hybrid vehicle. Let's assume the following facts: The hybrid will initially cost an additional $4,500 above the cost of a traditional vehicle. The hybrid will get 40 miles per gallon of gas, and the traditional car will get 30 miles per gallon. Also, assume that the cost of gas is $3.60 per gallon.

Using the facts above, answer the following questions.

(1) What is the variable gasoline cost of going one mile in the hybrid car? What is the variable cost of going one mile in the traditional car?

(2) Using the information in part (a), if “miles” is your unit of measure, what is the “contribution margin” of the hybrid vehicle relative to the traditional vehicle? That is, express the variable cost savings on a per-mile basis.

(3) How many miles would you have to drive in order to break even on your investment in the hybrid car?

(4) What other factors might you want to consider?

Chrysler Concorde: Acceleration Consumer reports stated that the mean time for a Chrysler Concorde to go from 0 to 60 miles per hour was 8.7 seconds.

a.) If you want to set up a statistical test to challenge the claim of 8.7 seconds, what would you use for the null hypothesis?

b.) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville (because of less oxygen). What would you use as an alternative hypothesis?

c.) Suppose a newer model year Chrysler Concorde came out and you wanted to test whether the average time to accelerate from 0 to 60 miles per hour had changed from the previous year. What would you use as an alternative hypothesis?

d.) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use as an alternative hypothesis?

e.) For each of the tests in parts (b), (c), and (d) , would the P-value area be on the left, on the right, or on both sides of the mean?

A baseball​ pitcher's most popular pitch is a​ four-seam fastball. The data below represent the pitch speed​ (in miles per​ hour) for a random sample of 15 of his​ four-seam fastball pitches.

85.5, 86.8, 93.1, 93.6, 88.7, 92.8, 86.4, 93.7, 89.9, 91.2, 86.7, 93.9, 85.4, 87.4, 90.6

(a)

Using the correlation coefficient of the normal probability​ plot, is it reasonable to conclude that the population is normally​ distributed?

Since the absolute value of the correlation coefficient between the expected​ z-scores and the ordered observed​ data, ____, ____ (exceeds/ does not exceed) the critical value ___, it (is/ is not) reasonable to conclude that the data come from a population that is normally distributed. (Round three decimal places)

(b) Construct and interpret a​ 95% confidence interval for the mean pitch speed of the​ pitcher's four-seam fastball.

One can 95% confident that the mean pitch speed of the pitcher's four-seam fastball is between ___ and ___ miles per hour.

One can 90% confident that the mean pitch speed of the pitcher's four-seam fastball is between ___ and ___ miles per hour.

One can 99% confident that the mean pitch speed of the pitcher's four-seam fastball is between ___ and ___ miles per hour.  

The standard recommendation for automobile oil changes is once every 5000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 45 customers who drive luxury cars and 40 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 5187 miles for the luxury car owners and 5389 miles for the compact lower-price car owners. The sample standard deviations were 424 and 507 miles for the luxury and compact groups, respectively. Assume that the two population distributions of the distances between oil changes have the same standard deviation. You would like to test if the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars.

Let μ₁ denote the mean distance between oil changes for luxury cars, and μ₂ denote the mean distance between oil changes for compact lower-price cars. Suppose the test statistic for this case is -2. Calculate the p-value. Round your final answer to the nearest ten thousandth (e.g., 0.1234).

A fire insurance company thought that the mean distance from a home to the nearest fire department in a suburb of Chicago was at least 5.9 miles. It set its fire insurance rates accordingly. Members of the community set out to show that the mean distance was less than 5.9 miles. This, they thought, would convince the insurance company to lower its rates. They randomly indentified 62 homes and measured the distance to the nearest fire department from each. The resulting sample mean was 5.3. If σ = 2 miles, does the sample show sufficient evidence to support the community's claim at the α = .05 level of significance?

(a) Find z. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence that the mean distance is less than 5.9 miles. Reject the null hypothesis, there is significant evidence that the mean distance is less than 5.9 miles.     Fail to reject the null hypothesis, there is significant evidence that the mean distance is less than 5.9 miles. Fail to reject the null hypothesis, there is not significant evidence that the mean distance is less than 5.9 miles.

2.From candy to jewelry to flowers, the average consumer was expected to spend $104.21 for Mother's Day in 2005, according to the Democrat & Chronicle article "Mom's getting more this year" (May 7, 2005). Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 62 consumers was taken at a local shopping mall the Saturday before Mother's Day and produced a sample mean amount of $94.33. If σ = $29.93, does the sample provide sufficient evidence to support the merchants' claim at the .05 significance level?

(a) Find z. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence to support the merchants' claim. Reject the null hypothesis, there is significant evidence to support the merchants' claim.     Fail to reject the null hypothesis, there is significant evidence to support the merchants' claim. Fail to reject the null hypothesis, there is not significant evidence to support the merchants' claim.