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If you wanted to estimate the mean height of all the

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 2E Chapter 1.1

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 2E

If you wanted to estimate the mean height of all the students at a university, which one of the following sampling strategies would be best? Why? Note that none of the methods are true simple random samples.

i. Measure the heights of 50 students found in the gym during basketball intramurals.

ii. Measure the heights of all engineering majors.

iii. Measure the heights of the students selected by choosing the first name on each page of the campus phone book.

Step-by-Step Solution:

Step 1 of 4:

Here it is given that if one want to measure the average height of the students in a university, in the given sampling strategy one has to select a strategy which  will yield an appropriate result.

Step 2 of 4:

(a)

Here it is given that to get the men height of all students at a university,they  measured  the height of 50 students found in gym during basketball intramurals.

This  method gives only the mean height of students who play basketball. Usually basketball players have more height than the rest of the students. So this mean height will not represent the mean height of the students at the university.

Thus, this method is not an appropriate sampling strategy.

Step 3 of 4

Chapter 1.1, Problem 2E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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