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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Travel Time The following data represent the travel time

Chapter 3, Problem 22E

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QUESTION:

Problem 22E

Travel Time The following data represent the travel time (in minutes) to school for nine students enrolled in Sullivan’s College Algebra course. Treat the nine students as a population.

Student

Travel Time

Amanda

39

Amber

21

Tim

9

Mike

32

Nicole

30

Scot

45

Erica

11

Tiffany

12

Glenn

39

(a) Determine the population mean for travel time.

(b) Find three simple random samples of size 4 and determine the sample mean for travel time of each sample.

(c) Which samples result in a sample mean that overestimates the population mean? Which samples result in a sample mean that underestimates the population mean? Do any samples lead to a sample mean that equals the population mean?

Questions & Answers

QUESTION:

Problem 22E

Travel Time The following data represent the travel time (in minutes) to school for nine students enrolled in Sullivan’s College Algebra course. Treat the nine students as a population.

Student

Travel Time

Amanda

39

Amber

21

Tim

9

Mike

32

Nicole

30

Scot

45

Erica

11

Tiffany

12

Glenn

39

(a) Determine the population mean for travel time.

(b) Find three simple random samples of size 4 and determine the sample mean for travel time of each sample.

(c) Which samples result in a sample mean that overestimates the population mean? Which samples result in a sample mean that underestimates the population mean? Do any samples lead to a sample mean that equals the population mean?

ANSWER:

Solution:

Step 1 of 4:

The data about the travel time to school for nine students in Sullivan’s is given.                    

  1. We have to determine the population mean of travel time.
  2. We have to find three simple random samples of size 4, and determine the sample mean of each sample.
  3. We have to interpret the results.

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