The mean caffeine content μ of a certain energy drink is under examination. A measure taken on a random sample of size n = 16 yieldsx̄ = 2.4 g/l.

1. (a) Assuming that the standard deviation is known to be σ = 0.3, find the 95 confidence interval for μ.

2. (b) If that the standard deviation is unknown but the sample standard deviation is s = 0.3, find the 95 confidence interval for μ.

1. The owner of Showtime Movie Theaters, Inc. would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

1. Use the F test to determine the overall significance of the relationship. What is the conclusion at the .05 level of significance?
2. Use the t test to determine the significance of each independent variable. What is your conclusion at the .05 level of significance?
1. Determine the sample correlation coefficient between all possible pairs of independent variables to measure multicollinearity. Is there any value high enough to predict any potential problem in the regression model? Explain

PLEASE SHOW HOW TO DO IN EXCEL. Thank you!

Find the system of equations to model the problem. Don't solve the system.

A paper company produces high grade, medium grade and low grade paper. The number of tons of each grade produced from a ton of pulp depends on the source of the pulp. The following table shows three different sources and the amount of each grade of paper that can be produced from one tonne of pulp from each source.

(Number of tons)

High grade Medium grade Low grade
Pulp from Brazil 0.6 0.3 0.1
Domestic pulp 0.5 0.3 0.2
Recycled pulp 0.3 0.4 0.3

The company has received an order for 11 tons of high grade paper, 15 tons of medium grade paper, and 14 tons of low grade paper. How many tons of each type of pulp must be used to accurately fulfill this order? Establish a system of linear equations. Let x, y, and z equal the number of tons of Brazilian pulp, domestic pulp, and recycled pulp, respectively, needed to fulfill the order.

Describe the externalities associated with a football stadium compared with
an amusement park. Which would have greater positive externalities? Which
would have greater negative externalities?

How can a theme park eliminate waiting in long lines including rides etc. How much will they cost? What resources and expenditures will your solution entail?

Please answer each question in 350-500 words.

If you were running the organization(Hotel Management Group), what changes would you make and why?

1-Explain the difference between promotion and advertising.

2-Why might it make sense for a hotel chain to shift some of its advertising dollars to public relations?

Please answer each question in 350-500 words.

If you were running the organization(Hotel Management Group), what changes would you make and why?

Hassle-Free Web is bidding to provide web hosting services for Hotel Lisbon. Hotel Lisbon pays its current provider $10,400 per year for hosting its web page, handling transactions, etc. Hassle-Free figures that it will need to purchase equipment worth $14,800 up front and then spend $1,800 per year on monitoring, updates, and bandwidth to provide the service for 33 years. If Hassle-Free's cost of capital is 9.7 %, can it bid less than $10,400 per year to provide the service and still increase its value by doing so?

Hassle-Free can bid as low as $?

The following linear regression model can be used to predict ticket sales at a popular water park (the correlation is significant).

Ticket sales per hour = -631.25 + 11.25(current temperature in °F)

Choose the statement that best reflects the meaning of the slope in this context.

Group of answer choices

The slope is slippery.

The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets.

The slope tells us that if ticket sales are decreasing there must have been a drop in temperature.

The slope tells us that high temperatures are causing more people to buy tickets to the water park.