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Introductory Statistics
Found in: Page 658
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Short Answer

What is the p-value?

The p-value is p=0.054209.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Given Information

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

Step 2: Explanation

We discovered that the average waiting time in a doctor's office changes, based on the data. In a doctor's office, the standard deviation of waiting periods is 3.4 minutes. The standard deviation of waiting times in a random sample of 30 patients in a doctor's office is 4.1 minutes. Because this is a right-tailed test, the single population variance chi-square test is

χ2=(n−1)s2σ2

Where

n=30 is sample size

The sample standard deviation iss=4.1

The population standard deviation is σ=3.4

df=30-1 degrees of freedom

localid="1650534389154" χ2=(30−1)(4.1)2(3.4)2 ≈42.1704

So, the p-value for the right-tailed test using the p-value table will be

localid="1650534395773" d f=30-1 =29

degrees of freedom

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