A suburban hotel derives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant. Below is a sample of 25 days (Monday through Thursday) from last year showing the restaurant income and number of rooms occupied.
Determine the coefficient of correlation between the two variables. (Round your answer to 3 decimal places.)
c-1. State the decision rule for 0.10 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.)
c-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
c-3. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.10 significance level.
In: Statistics and Probability
A suburban hotel derives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant. Below is a sample of 25 days (Monday through Thursday) from last year showing the restaurant income and number of rooms occupied. Day Income Occupied Day Income Occupied 1 $ 1,452 20 14 $ 1,425 31 2 1,361 20 15 1,445 51 3 1,426 21 16 1,439 62 4 1,470 80 17 1,348 45 5 1,456 70 18 1,450 41 6 1,430 29 19 1,431 62 7 1,354 70 20 1,446 47 8 1,442 21 21 1,485 43 9 1,394 15 22 1,405 38 10 1,459 36 23 1,461 36 11 1,399 41 24 1,490 30 12 1,458 35 25 1,426 65 13 1,537 51 PictureClick here for the Excel Data File Use a statistical software package to answer the following questions.
b. Determine the coefficient of correlation between the two variables. (Round your answer to 3 decimal places.) Pearson correlation State the decision rule for 0.01 significance level: H0: ρ ≤ 0; H1: ρ > 0 (Round your answer to 3 decimal places.) Reject H0 if t > Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic
c. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.01 significance level. H0, There is a between revenue and occupied rooms.
d. What percent of the variation in revenue in the restaurant is accounted for by the number of rooms occupied? (Round your answer to 1 decimal place.) % of the variation in revenue is explained by variation in occupied rooms.
In: Math
THE PALM OASIS SUITE HOTEL
Cody Michlon, manager of the Palm Oasis Suite Hotel in Miami Beach is requesting your help to improve the guest
experience at the hotel. Cody Michlon plans to remodel the front desk to provide a more customer-centric
experience and create an optimal level of staff efficiency and guest service. Historical data of arrivals during the
peak check-in time of 5:00PM to 7:00PM showed that an average of 80 guests arrive each hour. It takes an average
of 3 minutes for the front-desk clerk to register each guest.
Mr. Michlon wants to improve guest service by reducing the length of time that guests spend waiting in line.
CURRENT (PLAN 0): At present, the hotel has five clerks on duty, each with a separate waiting line.
PLAN I. The first proposal would designate one employee as a quick-service clerk for guests registering under
corporate accounts, a market segment that fills about 30% of all occupied rooms. Because corporate
guests are preregistered, the registration takes an average of just 2 minutes. With these guests separated
from the rest of the clientele, the average time for registering a typical guest would climb to 3.4 minutes.
Under this plan non-corporate guests would choose any of the remaining four separate lines.
PLAN II. The second plan is to implement a single-line system. All guests could form a single waiting line to be
served by whichever of five clerks became available. (The only difference between the current scenario
and this proposed Plan II is the line formation – currently it is set up with five separate lines one in
front of each of the clerks, this plan II proposes a single line that wraps around with a corral and the
next guest will go to the next available clerk). This option would require sufficient lobby space for
what could be a substantial queue.
PLAN III. The use of a self-service kiosk for check-ins is the basis for the third proposal. This kiosk would provide
about the same service rate as would a clerk, however, since check-ins are automated the service time
would be a constant 3 minutes. Because initial use of this technology is minimal, Cody estimates that
20% of customers, primarily frequent guests, would be willing to use this machine – hopefully this
percent will increase in the future. Cody would set-up a single queue for customers who prefer human
check-in clerks (the remaining 80% of the customers). This line would be served by only four clerks,
because of the space requirement for the self-serve kiosk and the extra expense of the technology.
PLAN IV. Please provide your suggestion for a “better” queuing system. Be sure to compare your performance
measures to the other plans. Your idea??????
INSTRUCTIONS: Prepare a one to two page Executive Summary which should include the following
In: Operations Management
Calculate the pH and [S2− ] in a 0.13 M H2S solution. Assume Ka1 = 1.0 ✕ 10−7; Ka2 = 1.0 ✕ 10−19.
In: Chemistry
calculate the equilibrium pressure of CO2 in a closed 1 L vessel that contains each of the following samples. Assume that ΔH∘ and ΔS∘ are independent of temperature:
15 g of MgCO3 and 1.0 g of MgO at 25 ∘C
15 g of MgCO3 and 1.0 g of MgO at -40 ∘C
30 g of MgCO3 and 1.0 g of MgO at -40 ∘C
In: Chemistry
A wire is place on the x-axis, and a second wire is placed on the y-axis. The current in the horizontal wire is 3.0 A. The current in the vertical wire is 4.0 A. (Note the different currents.) a) What is the magnitude and direction of the net magnetic field at the point (1.0 m , 1.0 m)?b) What is the magnitude and direction of the net magnetic field at the point (-1.0 m , -1.0 m)? Suppose a tiny loop is placed at each of these points. If the horizontal current starts decreasing, and the vertical current starts increasing, both at the rate of 2.0A per sec, in which direction will a current flow in these loops?
In: Physics
Show your calculation for the molar volume of CO2 from Trial 1-4 according to your experimental data. Show all work, value. What is the average volume of gas from all 4 trials? What is the percent error? Show your work
| Trial | Pressure (atm) | Temp (K) | Reactant Mass (g) | Water Displaced (L) | |
| 1) NaHCO3 | 1.01 | 293.45 | 1.0 | 0.0004 | |
| 2) NaHCO3 | 1.01 | 293.45 | 1.0 | 0.0005 | |
| 3) Na2CO3 | 1.01 | 293.45 | 1.0 | 0.0005 | |
| 4) Na2CO3 | 1.01 | 293.45 | 1.0 | 0.0006 |
In: Chemistry
Explain the outcome of 3^4^5. In particular, what is the order of execution of the two exponentiation operations?
Write (5^4^3)−1 as a product of prime numbers.
The greatest common divisor of two integers a and b can be written as a linear combination (with integer coefficients k and ℓ) of a and b: gcd(a,b)=ka+ℓb.
In Sage this is achieved with the command xgcd. Look in the help page of this command to write the greatest common divisor of 12214 and 2012 as an integer linear combination of these two numbers.
Use Sage to verify your result.
What is the difference in Sage between 1/3+1/3+1/31/3+1/3+1/3 and 1.0/3+1.0/3+1.0/31.0/3+1.0/3+1.0/3? Explain.
In: Advanced Math
1-1Based on the Gibbs free energy of formation of substances listed in the table below, calculate EMF for the following cells:
(i) Zn | Zn2+ (1.0 M) || H+ (1.0 M) | O2 (1 atm) | Pt
(ii) Zn | Zn2+ (1.0 M) || Cu2+ (1.0 M) | Cu
(iii) Pt | H2(g) (1 atm) | H+ (1.0 M) || H+ (1.0 M) | O2 (1 atm) | Pt
_______________________________________________
Substances DGfo/ kJ mol-1 (298 K)
_______________________________________________
Zn2+(aq) -147.0
ZnO(s) -318.3
Mn2+(aq) -228.3
MnO4-(aq) -447.3
MnO2(s) -465.2
Mn2O3(s) -881.15
OH-(aq) -157.2
H2O(l) -237.1
Cu2+(aq) +65.52
Cu+(aq) +50.0
Fe3+(aq) -4.6
Fe2+(aq) -78.87
Cr3+(aq) -197.05
CrO42-(aq) -727.8
Cr2O72-(aq) -1301.2
Ce3+(aq) -672.0
Ce4+(aq) -533.06
Ag+(aq) +77.12
AgCl(s) -109.8
Cl-(aq) -131.3
_______________________________________________
In: Chemistry
Write a program that prompts the user to enter a 3 x 3 matrix of double values and tests whether it is a positive Markov matrix. There will be two methods which will be called from the main method: public static double [] [] createArray() 1. Creates a 3 by 3 two dimensional array of doubles 2. Prompts the user for values as shown in the sample run 3. Stores the numbers in the array in the order entered 4. Returns the array to the main method public boolean isMarkovMatrix(double [][] matrix) 1. Returns false if any value in the array is negative 2. Prints the sum of each column in the array 3. Returns false if any the sum of any of the columns is not equal to 1.0 4. Otherwise, it returns true. Sample Program running: Enter a 3 x 3 matrix by row 0.15 0.875 0.375 0.55 0.005 0.225 0.30 0.12 0.4 The sum of the columns 1.0 1.0 1.0 It is a Markov matrix Enter a 3 x 3 matrix by row -0.2 0.875 0.375 0.75 0.005 0.225 0.45 0.12 0.4 The sum of the columns 1.0 1.0 1.0 It is not a Markov matrix A response in Eclipse Java would be much appreciated. Thank you in advance
In: Computer Science