
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3.2, Problem 33AYU
Which Professor Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha’s class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega’s class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
Show Data Table Edit Data
Choose samples of size n =
20
Upload File
Change Column(s)
Generate 1 Sample
Generate 10 Samples
Generate 100 Samples
Generate 1000 Samples
Reset Plot
Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
40
40
30
20
20
10
samples = 50
mean = 41.626
std. error = 5.089
:
.:
:
::
0
25
30
35
40
45
50
55
60
41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
40
60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
Example 4 (Part 1) One of the datasets in the Lock book
contains information about 215 countries of the world. One
of the variables is the percentage of people in the country
who have access to the internet. We have data for 203 of
those countries. The plot on the right shows a dotplot of
the data.
1. What are the cases?
Population
n = 203, mean = 43.024
median = 43.5, stdev = 29.259
20
2. What does each dot on the dotplot represent?
15
10
5
20
40
43.024
60
80
3. What type of data is do we collect from the cases, quantitative or categorical?
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information.
x
63
79
70
80
84
87
y
46
49
45
55
57
58
Find Se. Round your answer to three decimal places.
Chapter 3 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 3.1 - What does it mean if a statistic is resistant?Ch. 3.1 - In the 2014 Current Population Survey conducted by...Ch. 3.1 - The U.S. Department of Housing and Urban...Ch. 3.1 - A histogram of a set of data indicates that the...Ch. 3.1 - If a data set contains 10,000 values arranged in...Ch. 3.1 - True or False: A data set will always have exactly...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...
Ch. 3.1 - For Super Bowl XLVII, there were 82,566 tickets...Ch. 3.1 - The median for the given set of six ordered data...Ch. 3.1 - Miles per Gallon The following data represent the...Ch. 3.1 - Exam Time The following data represent the amount...Ch. 3.1 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.1 - Flight Time The following data represent the...Ch. 3.1 - For each of the three histograms shown, determine...Ch. 3.1 - Match the histograms shown to the summary...Ch. 3.1 - Exam Scores The data in the next column represent...Ch. 3.1 - pH in Water The acidity or alkalinity of a...Ch. 3.1 - NW Pulse Rates The following data represent the...Ch. 3.1 - Travel Time The data represent the travel time (in...Ch. 3.1 - NW Connection Time A histogram of the connection...Ch. 3.1 - Journal Costs A histogram of the annual...Ch. 3.1 - MMs The following data represent the weights (in...Ch. 3.1 - Old Faithful We have all heard of the Old Faithful...Ch. 3.1 - Hours Working A random sample of 25 college...Ch. 3.1 - Prob. 28AYUCh. 3.1 - NW Political Views A sample of 30 registered...Ch. 3.1 - Prob. 30AYUCh. 3.1 - Prob. 31AYUCh. 3.1 - Mr. Zuro finds the mean height of all 14 students...Ch. 3.1 - Missing Exam Grade A professor has recorded exam...Ch. 3.1 - Prob. 34AYUCh. 3.1 - Blood Alcohol Concentration Go to...Ch. 3.1 - Prob. 36AYUCh. 3.1 - Linear Transformations Benjamin owns a small...Ch. 3.1 - Linear Transformations Use the five test scores of...Ch. 3.1 - Trimmed Mean Another measure of central tendency...Ch. 3.1 - Prob. 40AYUCh. 3.1 - Putting It Together: Shape, Mean and Median As...Ch. 3.1 - FICO Scores The Fair Isaacs Corporation has...Ch. 3.1 - Why is the median resistant, but the mean is not?Ch. 3.1 - Prob. 44AYUCh. 3.1 - Net Worth According to a Credit Suisse Survey, the...Ch. 3.1 - Prob. 46AYUCh. 3.1 - In January 2016, the mean amount of money lost per...Ch. 3.1 - For each of the following situations, determine...Ch. 3.2 - The sum of the deviations about the mean always...Ch. 3.2 - The standard deviation is used in conjunction with...Ch. 3.2 - True or False: When comparing two populations, the...Ch. 3.2 - True or False: Chebyshevs Inequality applies to...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - Miles per Gallon The following data represent the...Ch. 3.2 - Exam Time The following data represent the amount...Ch. 3.2 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.2 - Flight Time The following data represent the...Ch. 3.2 - Which histogram depicts a higher standard...Ch. 3.2 - Match the histograms in the next column to the...Ch. 3.2 - Exam Scores The following data represent exam...Ch. 3.2 - pH in Water The acidity or alkalinity of a...Ch. 3.2 - NW Pulse Rates The data on the following page...Ch. 3.2 - Travel Time The following data represent the...Ch. 3.2 - A Fish Story Ethan and Drew went on a 10-day...Ch. 3.2 - Prob. 22AYUCh. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - Prob. 25AYUCh. 3.2 - Prob. 26AYUCh. 3.2 - Prob. 27AYUCh. 3.2 - Temperatures It is well known that San Diego has...Ch. 3.2 - NW The Empirical Rule The StanfordBinet...Ch. 3.2 - The Empirical Rule SAT Math scores have a...Ch. 3.2 - The Empirical Rule The weight, in grams, of the...Ch. 3.2 - The Empirical Rule The distribution of the length...Ch. 3.2 - Which Professor Suppose Professor Alpha and...Ch. 3.2 - Larry Summers Lawrence Summers (former Secretary...Ch. 3.2 - NW Chebyshevs Inequality In December 2014, the...Ch. 3.2 - Chebyshevs Inequality According to the U.S. Census...Ch. 3.2 - Prob. 37AYUCh. 3.2 - Linear Transformations Benjamin owns a small...Ch. 3.2 - Prob. 39AYUCh. 3.2 - Prob. 40AYUCh. 3.2 - Prob. 41AYUCh. 3.2 - Blocking and Variability Blocking refers to the...Ch. 3.2 - Prob. 43AYUCh. 3.2 - Prob. 44AYUCh. 3.2 - Prob. 45AYUCh. 3.2 - More Spread? The data set on the left represents...Ch. 3.2 - Prob. 47AYUCh. 3.2 - Prob. 48AYUCh. 3.2 - Prob. 49AYUCh. 3.2 - What is meant by the phrase degrees of freedom as...Ch. 3.2 - Prob. 51AYUCh. 3.2 - Prob. 52AYUCh. 3.2 - What makes the range less desirable than the...Ch. 3.2 - Prob. 54AYUCh. 3.2 - Prob. 55AYUCh. 3.2 - Prob. 56AYUCh. 3.2 - Prob. 57AYUCh. 3.2 - Prob. 59AYUCh. 3.3 - NW Savings Recently, a random sample of 2534 year...Ch. 3.3 - Square Footage of Housing The frequency...Ch. 3.3 - Household Winter Temperature Often, frequency...Ch. 3.3 - Living in Poverty (See Problem 3.) The following...Ch. 3.3 - Multiple Births The following data represent the...Ch. 3.3 - Birth Weight The following frequency distribution...Ch. 3.3 - Cigarette Tax Rates Use the frequency distribution...Ch. 3.3 - Dividend Yield Use the frequency distribution...Ch. 3.3 - NW Grade-Point Average Marissa has just completed...Ch. 3.3 - Computing Class Average In Marissas calculus...Ch. 3.3 - Mixed Chocolates Michael and Kevin want to buy...Ch. 3.3 - Nut Mix Michael and Kevin return to the candy...Ch. 3.3 - Population The data represent the male and female...Ch. 3.3 - Age of Mother The following data represent the age...Ch. 3.3 - Approximate the median of the frequency...Ch. 3.3 - Prob. 16AYUCh. 3.3 - Prob. 17AYUCh. 3.3 - Determine the modal class of the frequency...Ch. 3.4 - The _____ represents the number of standard...Ch. 3.4 - The _____ _____ of a data set is a value such that...Ch. 3.4 - _____ divide data sets into fourths.Ch. 3.4 - Prob. 4AYUCh. 3.4 - Prob. 5AYUCh. 3.4 - Prob. 6AYUCh. 3.4 - Men versus Women The average 20- to 29-year-old...Ch. 3.4 - Prob. 8AYUCh. 3.4 - ERA Champions In 2014, Clayton Kershaw of the Los...Ch. 3.4 - Batting Champions The highest batting average ever...Ch. 3.4 - Prob. 11AYUCh. 3.4 - Triathlon Roberto finishes a triathlon (750-meter...Ch. 3.4 - School Admissions A highly selective boarding...Ch. 3.4 - Quality Control A manufacturer of bolts has a...Ch. 3.4 - Prob. 15AYUCh. 3.4 - You Explain It! Percentiles Explain the meaning of...Ch. 3.4 - You Explain It! Quartiles Violent crimes include...Ch. 3.4 - You Explain It! Quartiles One variable that is...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - NW SMART Car The data on the following page...Ch. 3.4 - Hemoglobin in Cats The following data represent...Ch. 3.4 - Rate of Return of Google The following data...Ch. 3.4 - CO2 Emissions The following data represent the...Ch. 3.4 - Fraud Detection As part of its Customers First...Ch. 3.4 - Stolen Credit Card A credit card company has a...Ch. 3.4 - Student Survey of Income A survey of 50 randomly...Ch. 3.4 - Student Survey of Entertainment Spending A survey...Ch. 3.4 - Prob. 29AYUCh. 3.4 - Travel Time Use the results of Problem 22 in...Ch. 3.4 - Fraud Detection Revisited Use the fraud-detection...Ch. 3.4 - Write a paragraph that explains the meaning of...Ch. 3.4 - Suppose you received the highest score on an exam....Ch. 3.4 - Prob. 34AYUCh. 3.4 - Prob. 35AYUCh. 3.4 - Prob. 36AYUCh. 3.4 - Prob. 37AYUCh. 3.4 - Prob. 38AYUCh. 3.4 - Prob. 39AYUCh. 3.5 - What does the five-number summary consist of?Ch. 3.5 - In a boxplot, if the median is to the left of the...Ch. 3.5 - Prob. 3AYUCh. 3.5 - In Problems 3 and 4, (a) identify the shape of the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Exam Scores After giving a statistics exam,...Ch. 3.5 - Prob. 8AYUCh. 3.5 - Prob. 9AYUCh. 3.5 - Carpoolers The following data represent the...Ch. 3.5 - NW Age of Mother at Birth The data below represent...Ch. 3.5 - Prob. 12AYUCh. 3.5 - Prob. 13AYUCh. 3.5 - Prob. 14AYUCh. 3.5 - Prob. 15AYUCh. 3.5 - Prob. 16AYUCh. 3.5 - Putting It Together: Earthquakes Go to...Ch. 3.5 - Putting It Together: Paternal Smoking It is...Ch. 3.5 - Retain Your Knowledge: Decision Making and Hunger...Ch. 3.5 - Prob. 20AYUCh. 3.5 - Prob. 21AYUCh. 3 - Muzzle Velocity The following data represent the...Ch. 3 - Price of Chevy Cobalts The following data...Ch. 3 - Chief Justices The following data represent the...Ch. 3 - Number of Tickets Issued As part of a statistics...Ch. 3 - Chebyshevs Inequality and the Empirical Rule...Ch. 3 - Prob. 6RECh. 3 - Weighted Mean Michael has just completed his first...Ch. 3 - Weights of Males versus Females According to the...Ch. 3 - Halladay No-No On October 6, 2010, Roy Halladay of...Ch. 3 - Presidential Inaugural Addresses Ever wonder how...Ch. 3 - You Explain It! Percentiles According to the...Ch. 3 - Skinfold Thickness Procedure One method of...Ch. 3 - The following data represent the amount of time...Ch. 3 - The Federal Bureau of Investigation classifies...Ch. 3 - Determine the range of the homework data from...Ch. 3 - a. Determine the standard deviation of the...Ch. 3 - In a random sample of 250 toner cartridges, the...Ch. 3 - The following data represent the length of time...Ch. 3 - Prob. 7CTCh. 3 - An engineer is studying bearing failures for two...Ch. 3 - The following data represent the weights (in...Ch. 3 - Armando is filling out a college application that...Ch. 3 - According to the National Center for Health...Ch. 3 - Prob. 12CTCh. 3 - Answer the following based on the histograms shown...Ch. 3 - Explain how the standard deviation measures...Ch. 3 - Generate a data set consisting of the length of...Ch. 3 - Prob. 2CSCh. 3 - Prob. 3CS
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 1. Define probability: 2. Define statistics:arrow_forwardResults of tossing a coin four times: H, H, H, H How many times is the Coin expected to come up heads? How did you determine this number? Calculate the % deviation. Can these results be used to conclude that a coin is not fair? Why or why not?arrow_forwardCycles to failure Position in ascending order 0.5 f(x)) (x;) Problem 44 Marsha, a renowned cake scientist, is trying to determine how long different cakes can survive intense fork attacks before collapsing into crumbs. To simulate real-world cake consumption, she designs a test where cakes are subjected to repeated fork stabs and bites, mimicking the brutal reality of birthday parties. After rigorous testing, Marsha records 10 observations of how many stabs each cake endured before structural failure. Construct P-P plots for (a.) a normal distribution, (b.) a lognormal distribution, and (c.) a Weibull distribution (using the information included in the table below). Which distribution seems to be the best model for the cycles to failure for this material? Explain your answer in detail. Observation Empirical cumulative Probability distribution Cumulative distribution Inverse of cumulative distribution F-1 (-0.5) F(x)) (S) n 4 3 1 0.05 9 5 2 0.15 7 7 3 0.25 1 10 4 0.35 3 12 5 0.45 Normal…arrow_forward
- Problem 3 In their lab, engineer Daniel and Paulina are desperately trying to perfect time travel. But the problem is that their machine still struggles with power inconsistencies-sometimes generating too little energy, other times too much, causing unstable time jumps. To prevent catastrophic misjumps into the Jurassic era or the far future, they must calibrate the machine's power output. After extensive testing, they found that the time machine's power output follows a normal distribution, with an average energy level of 8.7 gigawatts and a standard deviation of 1.2 gigawatts. The Time Travel Safety Board has set strict guidelines: For a successful time jump, the machine's power must be between 8.5 and 9.5 gigawatts. What is the probability that a randomly selected time jump meets this precision requirement? Daniel suggests that adjusting the mean power output could improve time-travel accuracy. Can adjusting the mean reduce the number of dangerous misjumps? If yes, what should the…arrow_forwardProblem 5 ( Marybeth is also interested in the experiment from Problem 2 (associated with the enhancements for Captain America's shield), so she decides to start a detailed literature review on the subject. Among others, she found a paper where they used a 2"(4-1) fractional factorial design in the factors: (A) shield material, (B) throwing mechanism, (C) edge modification, and (D) handle adjustment. The experimental design used in the paper is shown in the table below. a. Run A B с D 1 (1) -1 -1 -1 1 2 a 1 -1 -1 1 3 bd -1 1 -1 1 4 abd 1 1 -1 1 5 cd -1 -1 1 -1 6 acd 1 -1 1 -1 7 bc -1 1 1 -1 abc 1 1 1 -1 paper? s) What was the generator used in the 2"(4-1) fractional factorial design described in the b. Based on the resolution of this design, what do you think about the generator used in the paper? Do you think it was a good choice, or would you have selected a different one? Explain your answer in detail.arrow_forwardSuppose we wish to test the hypothesis that women with a sister’s history of breast cancer are at higher risk of developing breast cancer themselves. Suppose we assume that the prevalence rate of breast cancer is 3% among 60- to 64-year-old U.S. women, whereas it is 5% among women with a sister history. We propose to interview 400 women 40 to 64 years of age with a sister history of the disease. What is the power of such a study assuming that the level of significance is 10%? I only need help writing the null and alternative hypotheses.arrow_forward
- 4.96 The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15 1-foot sections of new fabricarrow_forwardUne Entreprise œuvrant dans le domaine du multividéo donne l'opportunité à ses programmeurs-analystes d'évaluer la performance des cadres supérieurs. Voici les résultats obtenues (sur une échelle de 10 à 50) où 50 représentent une excellente performance. 10 programmeurs furent sélectionnés au hazard pour évaluer deux cadres. Un rapport Excel est également fourni. Programmeurs Cadre A Cadre B 1 34 36 2 32 34 3 18 19 33 38 19 21 21 23 7 35 34 8 20 20 9 34 34 10 36 34 Test d'égalité des espérances: observations pairéesarrow_forwardA television news channel samples 25 gas stations from its local area and uses the results to estimate the average gas price for the state. What’s wrong with its margin of error?arrow_forward
- You’re fed up with keeping Fido locked inside, so you conduct a mail survey to find out people’s opinions on the new dog barking ordinance in a certain city. Of the 10,000 people who receive surveys, 1,000 respond, and only 80 are in favor of it. You calculate the margin of error to be 1.2 percent. Explain why this reported margin of error is misleading.arrow_forwardYou find out that the dietary scale you use each day is off by a factor of 2 ounces (over — at least that’s what you say!). The margin of error for your scale was plus or minus 0.5 ounces before you found this out. What’s the margin of error now?arrow_forwardSuppose that Sue and Bill each make a confidence interval out of the same data set, but Sue wants a confidence level of 80 percent compared to Bill’s 90 percent. How do their margins of error compare?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License