/*! 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 99. The figure displays computer out... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The figure displays computer output from Data Desk for data on the amount spent by 50 grocery shoppers.

(a) What would you guess is the shape of the distribution based only on the computer output? Explain.

(b) Interpret the value of the standard deviation.

(c) Are there any outliers? Justify your answer.

Short Answer

Expert verified

Part (a) The shape of the distribution is right-skewed.

Part (b) The standard deviation is worth $21.6974

Part (c) There could be more outliers.

Step by step solution

01

Part (a) Step 1: Given information

Given:

02

Part (a) Step 2: Concept

Qualitative variables are indicated individual variables whereas quantitative categories are indicated numerical variables.

03

Part (a) Step 3: Explanation

We can see that the mean is much larger than the median in the output. If the mean is significantly bigger than the median, the distribution is right-skewed (because the mean is influenced by large outliers, while the median remains unaffected).

04

Part (b) Step 1: Calculation

The standard deviation (Std Dev) value is reported as follows in the output: sx=21.6974

This suggests that the difference between a typical shopper's spending and the mean spending is $21.6974

05

Part (c) Step 1: Calculation

Given in the output: Q1=19.27Q3=45.4Max=93.34

The third quartile's interquartile range is reduced by the first quartile: IQR=Q3−Q1=45.4−19.27=26.13

Outliers are observations that are more than 1.5 times the IQR above or below Q3, or more than 1.5 times the IQR below Ql. Q3+1.5IQR=45.4+1.5(26.13)=84.595Q3−1.5IQR=19.27+1.5(26.13)=−19.925

The maximum of93.34is thus bigger than84.595 indicating that the maximum is an anomaly (there might be more outliers). Therefore, there might be more outliers.

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 91Ó°ÊÓ!

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

Marginal distributions aren’t the whole story Here are the row and column totals for a two-way table with two rows and two columns:

Find two different sets of counts a,b,c, and d for the body of the table that gives these same totals. This shows that the relationship between two variables cannot be obtained from the two individual distributions of the variables.

Smoking by students and parents Refer to Exercise 20. Calculate three conditional distributions of students’ smoking behavior: one for each of the three parental smoking categories. Describe the relationship between the smoking behaviors of students and their parents in a few sentences.

Attitudes toward recycled products Recycling is supposed to save resources. Some people think recycled products are lower in quality than other products, a fact that makes recycling less practical. People who actually use a recycled product may have different opinions from those who don’t use it. Here are data on attitudes toward coffee filters made of recycled paper among people who do and don’t buy these filters:

(a)How many people does this table describe? How many of these were buyers of coffee filters made of recycled paper?

(b)Give the marginal distribution of opinion about the quality of recycled filters. What percent of consumers think the quality of the recycled product is the same or higher than the quality of other filters?

The chapter-opening Case Study described research by Teresa Amabile investigating whether external rewards would promote creativity in children’s artwork. Dr. Amabile conducted another study involving college students, who were divided into two groups using a chance process (like drawing names from a hat). The students in one group were given a list of statements about external reasons

(E) for writing, such as public recognition, making money, or pleasing their parents. Students in the other group were given a list of statements about internal reasons (I) for writing, such as expressing yourself and

enjoying playing with words. Both groups were then instructed to write a poem about laughter.

Each student’s poem was rated separately by 12different poets using a creativity scale. The 12poets’ ratings of each student’s poem were averaged to obtain an overall creativity score.

A dot-plot of the two groups’ creativity scores is shown below. Compare the two distributions. What do you conclude about whether external rewards promote creativity?

Which of the following bar graphs is equivalent to the pie chart in Question T1.2?

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.