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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 3, Problem 70SE

Textbook Problem

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*Travel* + *Leisure* magazine provides an annual list of the 500 best hotels in the world. The magazine provides a rating for each hotel along with a brief description that includes the size of the hotel, amenities, and the cost per night for a double room. A sample of 12 of the top-rated hotels in the United States follows.

- a. What is the mean number of rooms?
- b. What is the mean cost per night for a double room?
- c. Develop a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis. Does there appear to be a relationship between the number of rooms and the cost per night? Discuss.
- d. What is the sample correlation coefficient? What does it tell you about the relationship between the number of rooms and the cost per night for a double room? Does this appear reasonable? Discuss.

**a.**

To determine

Find the mean number of rooms.

**Calculation:**

The given information is that the data represent the sample of 12 of the top-rated hotels in the United States.

**Software Procedure:**

Step by step procedure to obtain the mean using the MINITAB software:

- Choose
**Stat > Basic Statistics > Display Descriptive Statistics**. - In
**Variables**enter the columns**Rooms**...

**b.**

To determine

Find the mean cost per night for a double room.

**c.**

To determine

Draw the scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis and check whether there exists a relationship between the number of rooms and the cost per night.

**d.**

To determine

Find the sample correlation coefficient and to explain the relationship between the number of rooms and the cost per night for a double room and also check whether it is reasonable or not.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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