Login Registrieren

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 10: Q. AP3.9 (page 702)

School A has $400$ students and School B has $2700$ students. A local newspaper wants to compare the distributions of SAT scores for the two schools. Which of the following would be the most useful for making this comparison?
a. Back-to-back stem plots for A and B
b. A scatterplot of A versus B
c. Two dot plots for A and B drawn on the same scale
d. Two relative frequency histograms of A and B drawn on the same scale
e. Two bar graphs for A and B drawn on the same scale

Short Answer

Expert verified

The correct option is (d) two relative frequency histograms of A and B drawn on the same rule.

Step by step solution

01

Given Information

We have to determine the comparison that is useful for the local newspapers distributions of SAT scores.

02

Simplification

Because the populations of both schools have varying numbers of students, the relative frequency histogram is used to standardize the number of individuals per school and make it more efficient for comparing and comprehending populations.

The distribution knowledge is far superior than frequency histograms and far superior to stem plots.

As a result, when you have a lot of data, stem and leaf plots aren't as informative. Because SAT scores are numerical and ordinal, a histogram would be far more useful and efficient.

Hence, the correct option is (d) two relative frequency histograms of A and B drawn on the same rule.

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

Music and memory Refer to Exercise $87$ .

a. Construct and interpret a $99 %$ confidence interval for the true mean difference. If you already defined the parameter and checked conditions in Exercise $87$ , you don’t need to do them again here.

b. Explain how the confidence interval provides more information than the test in Exercise .

Which inference method?

a. Drowning in bathtubs is a major cause of death in children less than $5$ years old. A random sample of parents was asked many questions related to bathtub safety. Overall, $85 %$ of the sample said they used baby bathtubs for infants. Estimate the percent of all parents of young children who use baby bathtubs.

b. How seriously do people view speeding in comparison with other annoying behaviors? A large random sample of adults was asked to rate a number of behaviors on a scale of $1$ (no problem at all) to $5$ (very severe problem). Do speeding drivers get a higher average rating than noisy neighbors?

c. You have data from interviews with a random sample of students who failed to graduate from a particular college in $7$ years and also from a random sample of students who entered at the same time and did graduate within $7$ years. You will use these data to estimate the difference in the percent's of students from rural backgrounds among dropouts and graduates.

d. Do experienced computer-game players earn higher scores when they play with someone present to cheer them on or when they play alone? Fifty teenagers with experience playing a particular computer game have volunteered for a study. We randomly assign $25$ of them to play the game alone and the other $25$ to play the game with a supporter present. Each player’s score is recorded.

Researchers wondered whether maintaining a patient’s body temperature close to normal by heating the patient during surgery would affect rates of infection of wounds. Patients were assigned at random to two groups: the normothermic group (core temperatures were maintained at near normal, $36.5 ° C$ , using heating blankets) and the hypothermic group (core temperatures were allowed to decrease to about $34.5 ° C$ ). If keeping patients warm during surgery alters the chance of infection, patients in the two groups should show a difference in the average length of their hospital stays. Here are summary statistics on hospital stay (in number of days) for the two groups:

a. Construct and interpret a $95 %$ confidence interval for the difference in the true mean length of hospital stay for normothermic and hypothermic patients like these.

b. Does your interval in part (a) suggest that keeping patients warm during surgery affects the average length of patients’ hospital stays? Justify your answer.

c. Interpret the meaning of “ $95 %$ confidence” in the context of this study.

Are teenagers going deaf? In a study of $3000$ randomly selected teenagers in $1990, 450$ showed some hearing loss. In a similar study of 1800 teenagers reported in $2010, 351$ showed some hearing loss.

a. Do these data give convincing evidence that the proportion of all teens with hearing

loss has increased at the $α = 0.01$ significance level?

b. Interpret the $P$ -value from part (a) in the context of this study.

Based on the P-value in Exercise 71, which of the following must be true?

a. A $90 %$ confidence interval for μM−μF $\frac{305}{1526} = 0.200 = 20.0 % μ_{M} - μ_{F}$ will contain $0$

b. A $95 %$ confidence interval for μM−μF $\frac{305}{1526} = 0.200 = 20.0 % μ_{M} - μ_{F}$ will contain $0$

c. A $99 %$ confidence interval for μM−μF $\frac{305}{1526} = 0.200 = 20.0 % μ_{M} - μ_{F}$ will contain $0$

d. A $99.9 %$ confidence interval for μM−μF $\frac{305}{1526} = 0.200 = 20.0 % μ_{M} - μ_{F}$ will contain $0$

See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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