The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 80 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that a randomly selected person at the hot springs stays longer then 89 minutes.

c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?  minutes.

d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1:  minutes
Q3:  minutes
IQR:  minutes

A New York City daily newspaper called “Manhattan Today” charges an annual subscription fee of $216. Customers prepay their subscriptions and receive 260 issues over the year. To attract more subscribers, the company offered new subscribers the ability to pay $210 for an annual subscription that also would include a coupon to receive a 40% discount on a one-hour ride through Central Park in a horse-drawn carriage. The list price of a carriage ride is $200 per hour. The company estimates that approximately 30% of the coupons will be redeemed. Required: 1. How much revenue should Manhattan Today recognize upon receipt of the $210 subscription price? 2. How many performance obligations exist in this contract? 3. Prepare the journal entry to recognize sale of 15 new subscriptions, clearly identifying the revenue or deferred revenue associated with each performance obligation.

A semiprofessional baseball team near your town plays two home games each month at the local baseball park. The team splits the concessions 50/50 with the city but keeps all the revenue from ticket sales. The city charges the team $500  each month for the three-month season. The team pays the players and manager a total of $2500 each month. The team charges $10 for each ticket, and the average customer spends $7 at the concession stand. Attendance averages 100 people at each home game.

Part 1. The team earns an average of $________________ in revenue for each game and $______________ of revenue each season.

With total costs of $_____________ each season, the team finishes the season with $________________ of profit.

Part 2   In order to break even, the team needs to sell   tickets for each game. Round to the nearest whole number.

The UDairy ice cream truck plans to sell ice cream at an upcoming alumni event in Central Park (NYC). From past events, demand for ice cream is highly weather dependent. On rainy days, demand is normally distributed with a mean of 120 scoops and standard deviation of 35 scoops. On non-rainy days, demand is normally distributed with a mean of 200 scoops and standard deviation of 60 scoops. The ice cream truck will be loaded two days before the event and travel to NYC. If the UDairy truck plans to bring enough ice cream to maintain a 90% service level for a rainy day, but the day surprisingly turns out to be non-rainy, what is the probability of the ice cream truck stocking out? For simplicity, assume the number of scoops demanded is a continuous variable. Enter probability as a three-digit decimal (e.g. 0.500, 0.275, 0.942).

47.         (BONUS) Suppose that Disney wants to follow up on the success of Frozen, with a sequeal this fall. The movie will cost $165 million to produce (INVESTED TODAY), and the producers expect the movie to generate a cash flow of $160 million in the first year. After the first year, cash flows will decline to $15 million in year 2.

However, the movie will also create synergy within the company.

Disney will build a new Olaf ride at Epcot for $40 million (invested TODAY). Disney suspects that the ride will bring visitors to the park and increase merchandise sales. Disney estimates that sales will increase by $12 million per year in PERPETUITY. The after-tax operating margin on these sales is 50% for Disney. If the cost of capital is 10%, what is the combined NPV of this opportunity?

25. A coupon bond is a bond that _________.

A) pays interest on a regular basis (typically every six months)

B) does not pay interest on a regular basis but pays a lump sum at maturity

C) can always be converted into a specific number of shares of common stock in the issuing company

D) always sells at par

26. Callable bonds

A) are called when interest rates decline appreciably.

B) have a call price that declines as time passes.

C) are called when interest rates increase appreciably.

D) A and B.

E) B and C.

27. A Treasury bond due in one year has a yield of 5.7%; a Treasury bond due in 5 years has a yield of 6.2%. A bond issued by Ford Motor Company due in 5 years has a yield of 7.5%; a bond issued by Shell Oil due in one year has a yield of 6.5%. The default risk premiums on the bonds issued by Shell and Ford, respectively, are

A) 1.0% and 1.2%

B) 0.7% and 1.5%

C) 1.2% and 1.0%

D) 0.8% and 1.3%

E) none of the above

28. A coupon bond that pays interest annually is selling at par value of $1,000, matures in 5 years, and has a coupon rate of 9%. The yield to maturity on this bond is:

A) 8.0%

B) 8.3%

C) 9.0%

D) 10.0%

-Four masses are placed along the x − a x i s as follows. A mass of 2.0 k g is placed at x = 3.0 m, a mass of 6.0 k g is placed at x = 1.0 m, a mass of 4.0 k g is placed at x = − 2.0 m, and finally a mass of 1.0 k g is placed at x = − 4.0 m. Where is the center of mass of this system of masses?

-During a certain period of time, the angular position of a point object, rotating in a circular orbit of radius 2 m, is given by  θ = 5 + 4 t + 2 t 2, where θ is in radians and t is in seconds. At t = 0, what are the magnitudes of the tangential component and the radial component of the acceleration of the point object?

-The mass of a car, including its four wheels, is 1000 kg. If all wheels have the same moments of inertia as four uniform disks of the same mass [10 kg each] and size as the wheels, what fraction of the total kinetic energy of the car is due to rotation of the wheels about their axles?

-A disc-shaped pulley, of mass 12 kg and radius 0.2 m, is wrapped around by a long string with one mass connected on each end. The part of the string that is connected to the larger mass has a tension of 5.0 N, while the part of the string connected to the smaller mass has a tension of 3.5 N. What is the angular acceleration, α, of the pulley?

1. The following sample observations were randomly selected (numbers may be different from previous problems):

What is the predicted value of Y when X=7?

Select one:

a. 7.47

b. 26.73

c. -22.53

d. 6.31

2. A business is evaluating their advertising budget, and wishes to determine the relationship between advertising dollars spent and changes in revenue. They have compiled the information in the table below, and want to perform regression.

What is the independent data?

Select one:

a. Weekly Revenue

b. TV Advertising

c. Radio Advertising

d. Newspaper Advertising

e. All Advertising

3. The following sample observations were randomly selected (numbers may be different from previous problems):

What is the y-intercept of the regression equation?

Select one:

a. 3.38

b. 7.00

c. 5.80

d. 5.30

Question 10

A solution of a compound in water conducts electricity, turns litmus red, and has a sour taste. What compound might be in the solution?

Select the correct answer below:

NaHCO3

Mg(OH)2

C3H5(COOH)3

NH3

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Question 11

When ranking the strength of acids in aqueous solution, water is acting as:

a base.

an acid.

both an acid and a base.

neither an acid nor a base.

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Question 12

Use the periodic table below to answer the question that follows.

Which is a possible example of species that can comprise a buffer solution?

Select the correct answer below:

HClO4 and ClO−4

H2SO4 and H2O

H2PO−4 and H3PO4

CH3OH and CH3COOH

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Question 13

Which of the following is the term for the reaction between two molecules of the same neutral substance to produce an ion pair?

Select the correct answer below:

autoionization

stepwise ionization

bimolecular reaction

recursive reaction

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Question 14

An aqueous solution at 25∘C has a hydronium ion concentration of 9.7×10−5 M. What is the hydroxide ion concentration of the solution?

Select the correct answer below:

9.7×10−19 M

9.7×10−12 M

1.0×10−10 M

1.0×10−3 M

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How well materials conduct heat matters when designing houses, for example. Conductivity is measured in terms of watts of heat power transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material. In these units, glass has conductivity about 1. The National Institution of Standards and Technology provides exact data on the properties of materials. Here are 11 measurements of the heat conductivity of a particular type of glass.

1.10    1.06    1.12    1.07    1.13    1.07    1.09    1.16    1.16    1.18    1.13

(a) We can consider this an SRS of all specimens of glass of this type. Make a stemplot. (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.)

Is there any sign of a major deviation from Normality?

-The stemplot shows that the data are not skewed and have no outliers.

-The stemplot shows that the data is skewed to the left with one outlier.

-The stemplot shows that the data is skewed to the right with one outlier.

(b) Give a 90% confidence interval for the mean conductivity. (Use 3 decimal places.)
(?, ?)

2.

In a sample of 53 randomly selected students, 34 favored the amount being budgeted for next year's intramural and interscholastic sports. Construct a 90% confidence interval for the proportion of all students who support the proposed budget amount. (Give your answers correct to three decimal places.)