A regional express delivery service company recently conducted a study to investigate the relationship between the cost of shipping a package ($), the package weight (in pound) and the distance shipped (in miles). Twenty packages were randomly selected from among the large number received for shipment, and a detailed analysis of the shipping cost was conducted for each package.

1. Use the F test to determine the overall significance of the regression relationship for the expanded model. What is the conclusion at the 0.01 level of significance?

2. Use the t test to determine the significance of each independent variable. What is the conclusion for each test at the 0.01 level of significance?  

. The first job offer is close to your parents’ house (they live in Winnetka which is 16 miles north of downtown Chicago). Your parents have offered to let you live at home for a year so you won’t have to incur expenses for housing, food, or cable and internet. This job pays $45,000 per year. The second job is far from your parents’ house, but close to downtown Chicago. However, you will have to rent a studio apartment with parking ($9,000 per year), buy your own food ($2,000 per year), and pay for your own cable and internet ($800 per year). This job pays $52,000 per year. You still plan to do laundry at your parents’ house once a week if you live in the city, and you plan to go into the city once a week to visit with friends if you live at home. Thus, the cost of operating a car will be about the same either way. In addition, your parents refuse to pay for your cell phone service ($680 per year) no matter which job offer you choose to accept. Requirements: 1. Based on the information provided above, what is the net difference between the two alternatives (salary, net of relevant costs)? (Worth 3 pts.) 2. What information is irrelevant? Why? (Worth 2 pts.) 3. What qualitative factors or information is relevant to your decision? (Worth 3 pts.) 4. Assume that you really want to take Job #2, what other quantitative and qualitative information will you need to incorporate into your decision beyond the costs originally listed? (Worth 5 pts.)

Boyne University offers an extensive continuing education program in many cities throughout the state. For the convenience of its faculty and administrative staff and to save costs, the university operates a motor pool. The motor pool’s monthly planning budget is based on operating 24 vehicles; however, for the month of March the university purchased one additional vehicle. The motor pool furnishes gasoline, oil, and other supplies for its automobiles. A mechanic does routine maintenance and minor repairs. Major repairs are performed at a nearby commercial garage.

The following cost control report shows actual operating costs for March of the current year compared to the planning budget for March.

The planning budget was based on the following assumptions:

1. $0.14 per mile for gasoline.
2. $0.12 per mile for oil, minor repairs, and parts.
3. $36 per automobile per month for outside repairs.
4. $72 per automobile per month for insurance.
5. $8,610 per month for salaries and benefits.
6. $197 per automobile per month for depreciation.

The supervisor of the motor pool is unhappy with the report, claiming it paints an unfair picture of the motor pool’s performance.

Required:

1. Calculate the spending variances for March.

Bill has just returned from a duck hunting trip. He brought home eight ducks. Bill’s friend, John, disapproves of duck hunting, and to discourage Bill from further hunting, John presented him with the following cost estimate per duck:

Required:

1. Assuming the duck hunting trip Bill has just completed is typical, what costs are relevant to a decision as to whether Bill should go duck hunting again this season?

2. Suppose Bill gets lucky on his next hunting trip and shoots 8 ducks using the same amount of shotgun shells he used on his previous hunting trip to bag 8 ducks. How much would it have cost him to shoot the last two ducks?

Donna asked Janet if she could borrow her minivan to transport her used furniture to Hour Children, a local non-profit. Janet was reluctant to say yes because she knew Donna’s habit of speeding and her record of prior traffic violations. Despite this, however, because Janet believed in the mission of Hour Children, Janet agreed to let Donna use her minivan.

Donna drove carefully and dropped off her furniture at the Hour Children Thrift Shop. In a rush to return home, Donna drove 35 miles over the speed limit. Donna lost control of the minivan, which tumbled off a ramp and down a hill, crashing into a tree.

Paul witnessed the crash and ran down the hill to help, but in doing so, he stumbled and severely sprained his ankle. Donna got out of the minivan without a scratch, but the minivan sustained extensive damage.

An ambulance took Paul to the hospital, where the Emergency Room doctor taped up his ankle, gave him crutches, and prescribed three months of physical therapy. Paul’s injuries prevented him from opening his new home remodeling business for another three months.

Paul sues Donna and Janet for the injuries he sustained trying to rescue Donna and the income he lost from the three-month delay in opening his business.

Can either Donna, or Janet, or both, be held liable for Paul’s injuries? Explain.

Can Paul recover his medical and therapy costs? From whom? Explain.

Can Paul recover the income lost from the delay in opening his business? From whom? Explain.

The largest cat in North America is the Jaguar. They can sometimes be seen in the mountains of Southern Texas, Arizona, and New Mexico, (and less recently southern California). The rate of observances by humans is about 4/20 years. Assume we don't get Trump’s border wall which would isolate the US population from the rest, and presumably cut off their chance of commuting and breeding.

a. You set up a network of automated infrared cameras from the southern border to 100 miles north of the border all along the Texas, Arizona, and New Mexico border. If the rate of appearance of Jaguars this side of the Mexican border is 4/20 year what are the chances you see 5 or more separate Jaguars within 5 years? (Assume Poisson)

b. Your cameras also produce pictures of wolf sized canids, either wolves or coy-wolves in the same region (very different times). Each year your cameras catch about 30 of these animals and about 40 cougars and about 500 bear and 1000 feral hogs. Assume that these numbers are all population rates for Poisson. Given your camera network catches a non human large animal (and the above list is all of them):

i)What is the probability it is a jaguar?

ii)What is the probability it is a feral hog?

iii)Out of 10 large nonhuman animals, what is the probability that 7 or more are feral hogs (Hint N=10, P is fixed, independent trials)

iv)Out of 100 large non human animals what is the probability that between 40 and 70 are feral hogs? (Use an approximation)

To illustrate the effects of driving under the influence​ (DUI) of​ alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine​ teenagers, the time​ (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts​ (a) and​ (b). ​Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

Subject   Normal, Xi   Impaired, Yi
1   4.47   5.86
2   4.24   5.67
3   4.58   5.45
4   4.56   5.32
5   4.31   5.90
6   4.83   5.49
7   4.55   5.23
8   5.00   5.61
9   4.79   5.63

​(a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the​ experiment?

A.

This is a good idea in designing the experiment because the sample size is not large enough.

B.

This is a good idea in designing the experiment because it controls for any​ "learning" that may occur in using the simulator.

C.

This is a good idea in designing the experiment because reaction times are different.

​(b) Use a​ 95% confidence interval to test if there is a difference in braking time with impaired vision and normal vision where the differences are computed as​ "impaired minus​ normal."

The lower bound is __?__.

The upper bound is __?__.

​(Round to the nearest thousandth as​ needed.)

State the appropriate conclusion. Choose the correct answer below.

There is insufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.

There is sufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.

B. Chuck has been hired by the Academic Department of a Community College to t-u-t-o-r students who are struggling in the Math classes. Chuck does not have Internet service at home, so he can either go to a local store that provides Internet for ten cents per minute and Skype students or he can drive to Campus to meet them. The Community College is located 20 miles from Chuck’s home and the round-trip costs of $5 in gasoline money. In both cases, he can only t-u-t-o-r one student. He has a total of $20 per week to spend on t-u-t-o-r-ing. To make his preferred choice, Chuck uses a handy utilimometer that measures his total utility from Skype call and from Campus visits. Using the values given in the following table, figure out the points on Chuck’s consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point. Also, take Chuck’s total utility information, and use the marginal utility approach to confirm the choice of Internet minutes and campus visits that maximize Chuck’s utility