Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q. AP3.21 (page 703)

National Park rangers keep data on the bears that inhabit their park. Here is a histogram of the weights of bears measured in a recent year:

Which of the following statements is correct?

a. The median will lie in the interval (140,180), and the mean will lie in the interval(180,220).

b. The median will lie in the interval(140,180), and the mean will lie in the interval (260,300).

c. The median will lie in the interval(100,140), and the mean will lie in the interval (180,220).

d. The mean will lie in the interval (140,180),and the median will lie in the interval (260,300).

e. The mean will lie in the interval (100,140), and the median will lie in the interval (180,220).

Short Answer

Expert verified

The correct option is:

a.The median will lie in the interval (140,180), and the mean will lie in the interval (180,220).

Step by step solution

01

 Step 1: Given information 

We have to tell about weights of bears measured in a recent year.

02

Explanation 

Because the greatest bars in the histogram are to the left of the histogram and a tail of lower bars are to the right, the provided distribution is substantially skewed to the right.

The median is generally at the top of the histogram, which is the bar with the midpoint of 160 pounds, hence the interval (140,180)(140,180) is the most likely to include the median.

Because the mean is larger than the median but not by a significant amount, we expect the mean to be located at the bar to the right of the median's bar. We expect the mean to be in the range (180,220) because this is the bar with the midpoint200.(180,220).

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

A certain candy has different wrappers for various holidays. During Holiday 1, the candy wrappers are 30%silver, 30%red, and 40%pink. During Holiday 2, the wrappers are 50%silver and 50%blue. In separate random samples of 40candies on Holiday 1and 40candies on Holiday 2, what are the mean and standard deviation of the total number of silver wrappers?

a. 32,18.4

b.32,6.06

c.32,4.29

d.80,18.4

e.80,4.29

A large toy company introduces many new toys to its product line each year. The

company wants to predict the demand as measured by y, first-year sales (in millions of dollars) using x, awareness of the product (as measured by the percent of customers who had heard of the product by the end of the second month after its introduction). A random sample of 65new products was taken, and a correlation of 0.96was computed. Which of the following is true?

a. The least-squares regression line accurately predicts first-year sales 96% of the time.

b. About 92% of the time, the percent of people who have heard of the product by the end of the second month will correctly predict first-year sales.

c. About 92% of first-year sales can be accounted for by the percent of people who have heard of the product by the end of the second month.

d. For each increase of 1% in awareness of the new product, the predicted sales will go up by 0.96 million dollars.

e. About 92% of the variation in first-year sales can be accounted for by the leastsquares regression line with the percent of people who have heard of the product by the end of the second month as the explanatory variable.

Starting in the 1970s, medical technology has enabled babies with very low birth weight (VLBW, less than1500grams, or about 3.3 pounds) to survive without major handicaps. It was noticed that these children nonetheless had difficulties in school and as adults. A long-term study has followed 242 randomly selected VLBW babies to age 20years, along with a control group of 233 randomly selected babies from the same population who had normal birth weight. 50

a. Is this an experiment or an observational study? Why?

b. At age20,179 of the VLBW group and 193 of the control group had graduated from high school. Do these data provide convincing evidence at the α=0.05 significance level that the graduation rate among VLBW babies is less than for normal-birth-weight babies?

Two samples or paired data? In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice.

a. To test the wear characteristics of two tire brands, A and B, each of 50cars of the same make and model is randomly assigned Brand A tires or Brand B tires.

b. To test the effect of background music on productivity, factory workers are observed. For one month, each subject works without music. For another month, the subject works while listening to music on an MP3 player. The month in which each subject listens to music is determined by a coin toss.

c. How do young adults look back on adolescent romance? Investigators interviewed a random sample of 40couples in their mid-twenties. The female and male partners were interviewed separately. Each was asked about his or her current relationship and also about a romantic relationship that lasted at least 2months when they were aged 15or 16. One response variable was a measure on a numerical scale of how much the attractiveness of the adolescent partner mattered. You want to find out how much men and women differ on this measure.

Friday the 13th Do people behave differently on Friday the13th? Researchers collected data on the number of shoppers at a random sample of 45grocery stores on Friday the 6thand Friday the 13thin the same month. Then they calculated the difference (subtracting in the order6thminus13th ) in the number of shoppers at each store on these 2days. The mean difference is -46.5and the standard deviation of the differences is 178.0.

a. If the result of this study is statistically significant, can you conclude that the difference in shopping behavior is due to the effect of Friday the 13thon people’s behavior? Why or why not?

b. Do these data provide convincing evidence at theα=0.05level that the number of shoppers at grocery stores on these 2days differs, on average?

c. Based on your conclusion in part (a), which type of error—a Type I error or a Type II error—could you have made? Explain your answer.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation
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.

Sign-up for free