The data in the table, from a survey of resort hotels with comparable rates on Hilton Head Island, show that room occupancy during the off-season (November through February) is related to the price charged for a basic room.

• First make a linear equation using linear regression on your calculator where x = price and y = occupancy rate.
• Convert occupancy rate to quantity of rooms in a 200-room hotel.
• Write down a revenue function for a 200-room hotel.
• What price per day will maximize the daily off-season revenue for a typical 200-room hotel? Use Calculus to determine the maximum.
• If this 200-room hotel has daily operating costs of $5510 plus $30 per occupied room. What price will maximize the daily profit during the off-season? Again use calculus to determine the maximum

More detailed instructions are given on page 690 of the textbook (12th edition).

A survey of 1060people who took trips revealed that 94 of them included a visit to a theme park. Based on those survey results, a management consultant claims that less than 11 % of trips include a theme park visit. Test this claim using the ?=0.01significance level.

(a) The test statistic is ___

(b) The P-value is ___

(c) The conclusion is  

A. There is sufficient evidence to support the claim that less than 11 % of trips include a theme park visit.
B. There is not sufficient evidence to support the claim that less than 11 % of trips include a theme park visit.

Independent random samples, each containing 90 observations, were selected from two populations. The samples from populations 1 and 2 produced 36 and 26 successes, respectively.
Test ?0:(?1−?2)=0against ??:(?1−?2)>0 Use ?=0.1

(a) The test statistic is ___

(b) The P-value is ___

(c) The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=0
B. We can reject the null hypothesis that (?1−?2)=0 and conclude that (?1−?2)>0

Consider a new hotel deciding on cleaning staff hiring for the upcoming season. Cleaning times depend on whether it is a stay-over room or a check-out. Suppose that a guest will check-out on a given day with probability 40%. From your experience in similar hotels you estimate that a stay-over room cleaning time is well-described with normal distribution with average 15 minutes and standard deviation 1 minute. Check-out room cleaning time is also normal but with average 30 minutes and standard deviation 10 minutes.

i. Consider an occupied room (stay-over or check-out), what is the average cleaning time for such a room?

ii. Find the variance for the cleaning time for an occupied room.

iii. Suppose that the hotel has 200 rooms, and you estimate that on a given day a room will be occupied with probability 90%. Only occupied rooms need cleaning. Find the average total cleaning time for the hotel. iv. Find the variance of the total cleaning time for the hotel.

Hints: remember var(X) = EX^2 − (EX)^2 .

the following data show the yearly budgets for leading business for leading business sectors in the United States, in thousand dollars. compute the test value for a difference in means budget. Beverages 163 136 43 41 38 20 18: Electronics 44 35 31 28 22 21 11: food producers 52 37 36 21 19 18 17: Supportive services 47 43 42 34 31 21 17.

Although it is difficult to believe in the twenty-first century, there are indeed countries with large businesses that have a cash-only policy. Cuba is one of them, and Armenia used to be one. Credit cards are either not accepted or are risky to use. Looking at this issue from the point of view of the country, do you think that this policy is a help or a hindrance to the economic strength of their country? Would someone from the United States be able to do business with a company in a country like Cuba under these circumstances?

It is known that 76.3% of all high school students age 16 or older in the United States have driven a car in the past month. Suppose you take a random sample of 82 high school students age 16 or older. What is the probability that less than 70% of the students in your sample have driven a car in the past month?

a) 0.0901

b) 0.1075

c) 0.2776

d) this cannot be determined as the central limit theorem conditions are violated.

Although the Patient Protection and Affordable Care Act was signed into law by President Barack Obama on March 23, 2010, it will take several years before full implementation is achieved. Since 2010, some of the provisions have been implemented while others have not. In this assignment, you will report on the potential issues that could affect how the law is fully implemented, summarizing your thoughts about potential issues related to healthcare policymaking process in the United States.

Employers often end up laying off more workers during a recession because of​ ________. A. flexible wages B. downward rigidity of wages C. higher corporate taxes D. a tight monetary policy

Amanda lives in France. She received​ $5,000 as a wedding gift from a relative living in the United States. This is an example of​ a(n) ________.

A.

transfer payment to France

B.

export to France

C.

import from France

D.

factor payment to France

It was determined that the sample mean weight of 10 randomly selected house cats was 8.4 pounds. We seek to create a 90% confidence interval for the population mean weight of house cats in the United States. Given t.05 found in the question above, and with the knowledge that s = .897 pounds, determine the 90% confidence interval for the population mean. Choose the best answer. Group of answer choices ( 7.760 , 9.040 ) ( 7.887 , 8.913 ) ( 7.880 , 8.920 ) ( 7.769 , 9.031 )

onsider the following questions: How much does milk cost on the East Coast of the United States? How many minutes does it take to drive 30 miles at an average speed of 55 miles per hour? What is the age difference between you and your siblings? How many hours of sleep do teenagers get during the school year compared to summer vacation? Define each question as being or not being a statistical question and explain why.