Q. 31 In a study collecting data about... [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 2: Q. 31 (page 132)

In a study collecting data about the repair costs of damage to automobiles in a certain type of crash test, a certain model of car had $$ 1700$ in damage and was in the $90^{t h}$ percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the $90^{t h}$ percentile in the context of this problem.

Short Answer

Expert verified

The higher cost gives benefits to the manufacturer but it is very unpleasant for the consumer.

Step by step solution

Definition

In statistics, the percentiles are the partition values. Percentile divides the entire data into $100$ equal parts. The $50^{t h}$ percentiles denote median and below this value lies $50 %$ of data. Similarly $60^{t h}$ percentile will have $60 %$ of data below it.

Explanation

The cost for repair $$ 1700$ is on the upper side among all possible repair costs since this cost is in $90^{t h}$ percentile. So this much of higher cost of repair gives pleasant for the manufacturer but it is very unpleasant for the consumer.

$90^{t h}$ percentile means if we divide all possible repair prices into $100$ separate divisions this $$ 1700$ is in at the $90^{t h}$ position of all possible repair prices.