/*! 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} Problem 16 The Connecticut Agricultural Exp... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 16

The Connecticut Agricultural Experiment Station conducted a study of the calorie content of different types of beer. The calorie content (calories per \(100 \mathrm{ml}\) ) for 26 brands of light beer are (from the web site brewery.org): \(\begin{array}{lllllllllllll}29 & 28 & 33 & 31 & 30 & 33 & 30 & 28 & 27 & 41 & 39 & 31 & 29\end{array}\) \(\begin{array}{lllllllllllll}23 & 32 & 31 & 32 & 19 & 40 & 22 & 34 & 31 & 42 & 35 & 29 & 43\end{array}\) Construct a stem-and-leaf display using stems \(1,2,3\), and 4\. Write a sentence or two describing the calorie content of light beers.

Short Answer

Expert verified
The stem-and-leaf plot is: \(1| 9, 22, 23\), \(2| 7, 8, 8, 9, 9, 9, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5\), \(3| 9\), and \(4| 0, 1, 2, 3\). Most light beers have a calorie count in the twenties and thirties.

Step by step solution

01

Sort the Data

Before creating a stem-and-leaf plot, the data should be sorted: \(19, 22, 23, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 31, 31, 32, 32, 33, 33, 34, 35, 39, 40, 41, 42, 43\)
02

Create Stems

Next, the stems that represent the tens place of each number should be determined. The stems are \(1, 2, 3, 4\) to be consistent with the given stems. These stems cover all numbers in the dataset since all numbers range between \(19\) and \(43\).
03

Attach Leafs

Attach the leafs (the unit place of the numbers) to each respective stem: \(1| 9, 22, 23\), \(2| 7, 8, 8, 9, 9, 9, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5\), \(3| 9\), and \(4| 0, 1, 2, 3\).
04

Write a Description

The calorie content of light beers mostly ranges in the twenties and thirties with a few outliers having calorie counts in the teens and forties.

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

An article in the San Luis Obispo Tribune (November 20,2002 ) stated that \(39 \%\) of those with critical housing needs (those who pay more than half their income for housing) lived in urban areas, \(42 \%\) lived in suburban areas, and the rest lived in rural areas. Construct a pie chart that shows the distribution of type of residential area (urban, suburban, or rural) for those with critical housing needs.

The paper "Lessons from Pacemaker Implantations" (Journal of the American Medical Association [1965]: \(231-232\) ) gave the results of a study that followed 89 heart patients who had received electronic pacemakers. The time (in months) to the first electrical malfunction of the pacemaker was recorded: \(\begin{array}{rrrrrrrrrrrr}24 & 20 & 16 & 32 & 14 & 22 & 2 & 12 & 24 & 6 & 10 & 20 \\ 8 & 16 & 12 & 24 & 14 & 20 & 18 & 14 & 16 & 18 & 20 & 22 \\ 24 & 26 & 28 & 18 & 14 & 10 & 12 & 24 & 6 & 12 & 18 & 16 \\ 34 & 18 & 20 & 22 & 24 & 26 & 18 & 2 & 18 & 12 & 12 & 8 \\ 24 & 10 & 14 & 16 & 22 & 24 & 22 & 20 & 24 & 28 & 20 & 22 \\ 26 & 20 & 6 & 14 & 16 & 18 & 24 & 18 & 16 & 6 & 16 & 10 \\\ 14 & 18 & 24 & 22 & 28 & 24 & 30 & 34 & 26 & 24 & 22 & 28 \\ 30 & 22 & 24 & 22 & 32 & & & & & & & \end{array}\) a. Summarize these data in the form of a frequency distribution, using class intervals of 0 to \(<6,6\) to \(<12\), and so on. b. Compute the relative frequencies and cumulative relative frequencies for each class interval of the frequency distribution of Part (a). c. Show how the relative frequency for the class interval 12 to \(<18\) could be obtained from the cumulative relative frequencies. d. Use the cumulative relative frequencies to give approximate answers to the following: i. What proportion of those who participated in the study had pacemakers that did not malfunction within the first year? ii. If the pacemaker must be replaced as soon as the first electrical malfunction occurs, approximately what proportion required replacement between 1 and 2 years after implantation? e. Construct a cumulative relative frequency plot, and use it to answer the following questions. i. What is the approximate time at which about \(50 \%\) of the pacemakers had failed? ii. What is the approximate time at which only about \(10 \%\) of the pacemakers initially implanted were still functioning?

Americium \(241\left({ }^{241} \mathrm{Am}\right)\) is a radioactive material used in the manufacture of smoke detectors. The article "Retention and Dosimetry of Injected \({ }^{241}\) Am in Beagles" (Radiation Research [1984]: \(564-575\) ) described a study in which 55 beagles were injected with a dose of \({ }^{241} \mathrm{Am}\) (proportional to each animal's weight). Skeletal retention of \({ }^{241} \mathrm{Am}\) (in microcuries per kilogram) was recorded for each beagle, resulting in the following data: \(\begin{array}{lllllll}0.196 & 0.451 & 0.498 & 0.411 & 0.324 & 0.190 & 0.489 \\\ 0.300 & 0.346 & 0.448 & 0.188 & 0.399 & 0.305 & 0.304 \\ 0.287 & 0.243 & 0.334 & 0.299 & 0.292 & 0.419 & 0.236 \\ 0.315 & 0.447 & 0.585 & 0.291 & 0.186 & 0.393 & 0.419\end{array}\) \(\begin{array}{lllllll}0.335 & 0.332 & 0.292 & 0.375 & 0.349 & 0.324 & 0.301 \\ 0.333 & 0.408 & 0.399 & 0.303 & 0.318 & 0.468 & 0.441 \\ 0.306 & 0.367 & 0.345 & 0.428 & 0.345 & 0.412 & 0.337 \\\ 0.353 & 0.357 & 0.320 & 0.354 & 0.361 & 0.329 & \end{array}\) a. Construct a frequency distribution for these data, and draw the corresponding histogram. b. Write a short description of the important features of the shape of the histogram.

Stress can affect the physiology and behavior of animals, just as it can with humans (as many of us know all too well). The accompanying data on \(x=\) plasma cortisol concentration (in milligrams of cortisol per milliliter of plasma) and \(y=\) oxygen consumption rate (in milligrams per kilogram per hour) for juvenile steelhead after three 2-min disturbances were read from a graph in the paper \({ }^{\text {"Metabolic Cost of Acute Physical Stress in Juvenile Steel- }}\) head" (Transactions of the American Fisheries Society [1987]: \(257-263\) ). The paper also included data for unstressed fish. \(\begin{array}{lllllllllll}x & 25 & 36 & 48 & 59 & 62 & 72 & 80 & 100 & 100 & 137\end{array}\) \(\begin{array}{lllllllllll}y & 155 & 184 & 180 & 220 & 280 & 163 & 230 & 222 & 241 & 350\end{array}\) a. Is the value of \(y\) determined solely by the value of \(x\) ? Explain your reasoning. b. Construct a scatterplot of the data. c. Does an increase in plasma cortisol concentration appear to be accompanied by a change in oxygen consumption rate? Comment.

An exam is given to students in an introductory statistics course. What is likely to be true of the shape of the histogram of scores if: a. the exam is quite easy? b. the exam is quite difficult? c. half the students in the class have had calculus, the other half have had no prior college math courses, and the exam emphasizes mathematical manipulation? Explain your reasoning in each case.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.