Park Acreage A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of 12 parks is selected, and the number of acres is shown. 2075 2065 2174 1934 2265 1936 2277 1968 2183 2029 1976 2151

a. At = 0.01, is there enough evidence to support the claim? Use the P-value method

b. Find the 99% confidence interval of the true mean.

You are given the following information about the stocks in a two-stock portfolio:

Correlation coefficient between the two stocks is 0.5.

Using the information above, calculate the following:

1. The expected return of the portfolio,
2. The variance of the portfolio,
3. The standard deviation of the portfolio.

（All calculations must be shown for intermediate calculations）

In March, you bought 4 tickets to Lady GaGa's concert at Fenway Park in July for $125 each. Due to Covid issues the concert was postponed to August 7. You are unable to go and want to sell your $125 ticket. Whoever you sell the ticket to, you will have to send to by mail for a postage cost of $15 (with postal insurance). What is the minimum amount you would be willing to sell the ticket for? Explain your answer.

Aliens are observing a park in new york. They notice a merry-go-round has a radius of 3.12m and a moment of inertia of 3100kgm^2 at the vertical axis through the center. The contraption has been lubricated recently so there is no friction. one of the earthlings applies a tangential force of 19N for 13s begging at rest. Unfortunaley after gathering this data the aliens computer broke so now they must calculate the work that was done over the course of the 13s.

The marketing brochure for a travel agency shows that the standard deviation of hotel room rates for two cities is the same. Table 7is given the per day room rate in Pak Rs.

Can you reject the agency claim at α=0.05

“Marriott International announced in November 2018 that attackers had stolen data on approximately 500 million customers. The breach initially occurred on systems supporting Starwood hotel brands starting in 2014. The attackers remained in the system after Marriott acquired Starwood in 2016 and were not discovered until September 2018.”(sourced from a published report) Referring to the case given, list and explain 2 steps that can help prevent data breach like this.

Create a list and rank the following products/services using intangibility. The list will rank tangible goods at the top and totally intangible services at the bottom. Briefly explain each category as well.

C PROGRAMMING

Build a hotel management program. The user will register their name and put their check-in time and check-out time. They can choose their type of room they stay (Deluxe room, junior suite room, suite room, presidential suite room). Then, the program will determine the total price.

*NOTE
- Using modular, user-friendly, and array usage programming. Please don't use struct/structure and pointer.
- Please give explanation about the code.

Jane Botosan operates a bed and breakfast hotel in a resort area near Lake Michigan. Depreciation on the hotel is $60,000 per year. Jane employs a maintenance person at an annual salary of $32,000 and a cleaning person at an annual salary of $24,000. Real estate taxes are $10,000 per year. The rooms rent at an average price of $60 per person per night including breakfast. Other costs are laundry and cleaning service at a cost of $10 per person per night and the cost of food which is $5 per person per night.

Instructions (a) Determine the number of rentals and the sales revenue Jane needs to break even using the contribution margin technique.

(b) If the current level of rentals is 3,500, by what percentage can rentals decrease before Jane has to worry about having a net loss?

(c) Jane is considering upgrading the breakfast service to attract more business and increase prices. This will cost an additional $3 for food costs per person per night. Jane feels she can increase the room rate to $66 per person per night. Determine the number of rentals and the sales revenue Jane needs to break even if the changes are made.