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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 2, Problem 53SE

Textbook Problem

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Table 2.18 shows a portion of the data for a sample of 103 private colleges and universities. The complete data set is contained in the file named Colleges. The data include the name of the college or university, the year the institution was founded, the tuition and fees (not including room and board) for the most recent academic year, and the percentage of full time, first-time bachelor’s degree-seeking undergraduate students who obtain their degree in six years or less (The world Almanac, 2012).

- a. Construct a crosstabulation with Year Founded as the row variable and Tuition & Fees as the column variable. Use classes starting with 1600 and ending with 2000 in increments of 50 for Year Founded. For Tuition & Fees, use classes starting with 1 and ending 45000 in increments of 5000.
- b. Compute the row percentages for the crosstabulation in part (a).
- c. What relationship, if any, do you notice between Year Founded and Tuition & Fees?

**TABLE 2.18** DATA FOR A SAMPLE OF PRIVATE COLLEGES AND UNIVERSITIES

a.

To determine

Construct a cross tabulation for the data with year founded as row variable and Tuition and fees as column variable.

**Calculation:**

The data represents the sample of 103 private colleges and universities which contains the name of the college, year founded, tuition and fees and percentage of undergraduate students (full-time, first-time bachelor’s degree-seeking students).

Further, the class limits for year founded starts with 1600 and ended with 2000 with increments of 50. For tuition and fees, the class limits starts with 1 and ended with 45,000 with increments of 5,000. Here, year founded is the row variable and tuition and fees is column variable.

**Software procedure:**

Step-by-step procedure to construct class limits for year founded using MINITAB software is given below:

- Select Data > Code >
**Numeric to Text** - In
**Code data from columns**, select**Year founded** - In
**Store coded data in columns**, select the**Year founded** - In the
**Original values**box, enter “1600:1649, 1700:1749, 1750:1799, 1800:1849, 1850:1899, 1900:1949, 1950:2000” - In the
**New**box, enter “1600-1649, 1700-1749, 1750-1799, 1800-1849, 1850-1899, 1900-1949, 1950-2000”. - Click
**Ok...**

b.

To determine

Compute the row percentages for the data.

c.

To determine

Find the relationship between Year founded and Tuition & fees.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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