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

SecuriCorp operates a fleet of armored cars that make scheduled pickups and deliveries in the Los Angeles area. The company is implementing an activity-based costing system that has four activity cost pools: Travel, Pickup and Delivery, Customer Service, and Other. The activity measures are miles for the Travel cost pool, number of pickups and deliveries for the Pickup and Delivery cost pool, and number of customers for the Customer Service cost pool. The Other cost pool has no activity measure because it is an organization-sustaining activity. The following costs will be assigned using the activity-based costing system:

The distribution of resource consumption across the activity cost pools is as follows:

Required:

Complete the first stage allocations of costs to activity cost pools.

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 10 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?

An energy efficient car Consider someone who is thinking about buying a new car, and trying to decide which one to buy. They plan to use the car mostly for commuting. They live 35 miles from work, and will commute 190 days per year. They know that the cost of gas in the Bay Area is currently around $3.00/gallon, the cost of electricity is around $0.15/kWh. For simplicity, they decide to assume that those prices won’t change, and that inflation will be zero, for the next five years. After five years they plan to sell the car. [20 points]

They have gathered the following information:

For both cars, they assume that insurance, maintenance, and other costs will be $2000/year. The interest rate is 3.0%/year.

a. Calculate the capital recovery factor. (5 points)

b. Which car has the most favorable net present value? Show your work for each vehicle. (5 points per car, 10 points total)

c. The U.S. government currently offers a $7,500 federal tax credit for the Nissan Leaf. Should this change the purchase decision, assuming the buyer will owe more than $7,500 in taxes during the purchase year? (5 points)

I am very confused on this question and would greatly appreciate help with it for my midterm coming up! Thank you so much.

Suppose your research assistant screwed up and lost the information that linked the person’s identity across the two weight loss periods. This makes it impossible to run a paired t-test. Rather than start over:

a) Compute the mean and standard deviation of the two samples (2-pts)

b) Compute the two sample t-statistic (2pts)

c) How many degrees of freedom do you have(3pts)?

d) compute the P-value (4pts)

e) How does this P-value compare to the one you just computed using the paired ttest? (3pts))

Two Sample t-test (16pts):

Suppose you are interested in deciding if the 1990 Toyota Four Runner has been equally reliable as the 1990 Honda Passport. You go out a randomly sample of 5 people who own a 1990 Toyota and 5 other people who own a 1990 Honda and you ask them how often they have to take their vehicles in for maintenance. Here are your data (in thousands of miles):

Toyota: 30 35 32 34 30

Honda: 29 33 28 31 27

a) State the null and alternative hypotheses (2pts)

b) Compute the means and standard deviations of the two samples (2-pts)

c) Compute the two sample t-statistic (2 pts)

c) How many degrees of freedom do you have? (3pts)

d) Compute the P-value (4pts)

e) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)

Please show work! thank you!

Can anyone please explain step by step how to solve this by excel solver cause the solver won't accept the binary word

A group of college students is planning a camping trip during the upcoming break. The group must hike several miles through the woods to get to the campsite, and anything that is needed on this trip must be packed in a knapsack and carried to the campsite. On particular student, Tina Shawl, has identified eight items that she would like to take on the trip, but the combined weight is too great to take all of them. She has decided to rate the utility of each item on a scale of 1 to 100, with 100 being the most beneficial. The item weights in pounds and their utility values are given below.

Item    1    2 3 4    5    6 7 8

Weight 8    1 7    6 3 12 5 14

Utility 80    20 50    55    50 75 30    70

Recognizing that the hike to the campsite is a long one, a limit of 35 pounds has been set as the maximum total weight of the items to be carried.

a) Formulate this as a 0-1 programming problem to maximize the total utility of the items carried.Solve this knapsack problem using a computer.

b) Suppose item number 3 is an extra battery pack, which may be used with several of the other items.Tina has decided that she will only take item number 5, a CD player, if she also takes item number 3.On the other hand, if she takes item number 3, she may or may not take item number 5.Modify this problem to reflect this and solve the new problem.

Hudson Group is a one of the largest and most recognizable travel retailers in North America. we own and manage over 1,000 duty-paid and duty-free stores in 89 locations, including airports, commuter terminals, hotels and some of the most visited landmarks and tourist destinations in the world.
In 2019 we initiated the Hudson Next Project, one of the key pillars being the completion of design and implementation of four new brands within the current Business Operating Model.
These brands include: Speciality stores, Newsstands, Book stores & Brook stone stores
The new Specitity stores will be based out of the LAX airport. They will cost approximately $19 million to contruct and will require approximately 50 employees to operate. The Newstands, located in Newark, New Jersey, will be based out of the airport - less than 15 miles outside of New York City, will cost $6.5 million to construct and 20 employees to operate. The bookstores, located in Houston, will require⁶ $8 million to construct and 15 employees to operate. Located in the suburbs of Pittsburgh, Pennsylvania, the new Brookstones stores will cost $12 million to construct and 50 employees to operate across all stores.
Hudson Group will pledge 75.5 million in new construction and hire no more than 260 employees. Annually, Specialty stores are a 9.5 million operation, Newstands are a $2.4 million operation, bookstores are a 1.2 million operation and the new Brookstones stores net 3.3 million in volume and growing.
If Hudson Group wasnts to maximize it’s annual revenue, how many of each for brands should they build?

***PLEASE SHOW FORMULAS AND ANSWERS PROBLEM IN EXCEL FORMAT USING SCREENSHOTS. THANK YOU