/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 1. Shoes How many pairs of shoes do... [FREE SOLUTION] | 91影视

91影视

Shoes How many pairs of shoes do students have? Do girls have more shoes than boys? Here are data from a random sample of 20 female and 20 male students at a large high school:

(a) Find and interpret the percentile in the female distribution for the girl with 22pairs of shoes.

(b) Find and interpret the percentile in the male distribution for the boy with 22 pairs of shoes.

(c) Who is more unusual: the girl with22 pairs of shoes or the boy with 22 pairs of shoes? Explain.

Short Answer

Expert verified

Part (a) Here, 25% of the girl students have less than 22 pairs of shoes.

Part (b) Here, 85% of the male students have less than 22 pairs of shoes.

Part (c) The boy is more unusual

Step by step solution

01

Part (a) Step 1. Given 

02

Part (a) Step 2. Concept

The formula used z=xmeanstandarddeviation

03

Part (a) Step 3. Calculation

Only 5(13,13,13,15,19)of the 20pupils in the female distribution have pairs of shoes that are less than 22. As a result, the percentile is calculated as follows: 5/20=0.25=25%As a result, the girl with 22pairs of shoes is in the 25%ile. To put it another way, 25%of female students have fewer than22pairs of shoes. As a result,25% of the girl students have less than 22 pairs of shoes.

04

Part (b) Step 1. Calculation

From the above-mentioned sorted list, 17 of the 20 male students had pairs of shoes that are below 2. As a result, the appropriate percentile is calculated as follows: 17/20=0.85=85%

As a result, the youngster in the 85th percentile has 22 pairs of shoes. To put it another way, 85% of male students have fewer than 22 pairs of shoes. As a result, 85% of the male students have less than 22 pairs of shoes.

05

Part (c) Step 1. Calculation

The male is more unique because only 15% of boys have more than 22 pairs of shoes, but the girl's value is more evenly distributed over the distribution. Only 25% of girls have fewer, whereas 75% have the same number or more. Therefore, the boy is more unusual.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

R2.11 Fruit fly thorax lengths Here are the lengths in millimeters of the thorax for 49 male fruit flies: 18

Are these data approximately Normally distributed? Give appropriate graphical and numerical evidence to support your answer.

- Interpret a Normal probability plot.

Baseball salaries Brad Lidge played a crucial role as the Phillies鈥 鈥渃loser,鈥 pitching the end of many games throughout the season. Lidge鈥檚 salary for the 2008 season was $6,350,000

(a) Find the percentile corresponding to Lidge鈥檚 salary. Explain what this value means.

(b) Find the z-score corresponding to Lidge鈥檚 salary. Explain what this value means.

Teacher raises Refer to Exercise 20. If each teacher receives a 5% raise instead of a flat \(1000 raise, the amount of the raise will vary from \)1400 to $3000, depending on the present salary.

(a) What will this do to the mean salary? To the median salary? Explain your answers.

(b) Will a 5% raise increase the IQR? Will it increase the standard deviation? Explain your answers.

Tall or short? Mr. Walker measures the heights (in inches) of the students in one of his classes.

He uses a computer to calculate the following numerical summaries: Next, Mr. Walker has his entire class stand on their chairs, which are 18 inches off the ground. Then he measures the distance from the top of each student鈥檚 head to the floor.

(a) Find the mean and median of these measurements. Show your work.

(b) Find the standard deviation and IQR of these measurements. Show your work.

Shopping spree The figure below is a cumulative relative frequency graph of the amount spent by

50 consecutive grocery shoppers at a store.

(a) Estimate the interquartile range of this distribution. Show your method.

(b) What is the percentile for the shopper who spent $19.50?

(c) Challenge: Draw the histogram that corresponds to this graph.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.