Q.65 The average waiting time in a do... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 11: Q.65 (page 658)

The average waiting time in a doctor鈥檚 office varies. The standard deviation of waiting times in a doctor鈥檚 office is $3.4$ minutes. A random sample of $30$ patients in the doctor鈥檚 office has a standard deviation of waiting times of $4.1$ minutes. One doctor believes the variance of waiting times is greater than originally thought.
What type of test should be used?

Short Answer

Expert verified

A test of single variance should be used.

Step by step solution

Given Information

The average waiting time in a doctor鈥檚 office varies. The standard deviation of waiting times in a doctor鈥檚 office is $3.4$ minutes. A random sample of $30$ patients in the doctor鈥檚 office has a standard deviation of waiting times of $4.1$ minutes .

Explanation

We have to find what type of test should be used:

The average waiting time in a doctor鈥檚 office varies.

The standard deviation of waiting times in a doctor鈥檚 office is $3.4$ minutes.

A random sample of $30$ patients in the doctor鈥檚 office has a standard deviation of waiting times of $4.1$ minutes.

We have learned that, the chi-square examination for single variance can be used where population variance is similar to some selected values.

Therefore, a test of single variance should be applied here.

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$1$	$20$	$35$	$40$	$35$
$2$	$20$	$50$	$70$	$80$
$3 - 4$	$20$	$50$	$100$	$90$
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91影视

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