Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 1, Problem 52SE
Association between Glycemic Load and Acne? An article in the Journal of the Academy of Nutrition and Dietetics reported on a study of diet in subjects with moderate to severe acne. Read the excerpts from the abstract and answer the questions that follow. (Source: Burris et al., “Differences in dietary glycemic load and hormones in New York City adults with no or moderate/severe acne,” Journal of the Academy of Nutrition and Dietetics, vol. 117 [September 2017]: 1375-1383)
Methods: Sixtyfour participants (no acne,
Results: Participants with moderate/severe acne consumed greater total carbohydrate compared to participants without acne. Participants with moderate/severe acne had greater insulin compared to participants without acne. Although there were no differences between groups, 61% of participants reported foodinfluenced acne.
a. Was this a controlled experiment or an observational study? Explain how you know.
b. Assuming the study was properly conducted, can we conclude that higher consumption of carbohydrates causes more severe acne? Explain.
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As an admissions counselor, I am interested in understanding whether or not there is a difference in stress levels not only between different majors but also between different classes (Freshman v. Seniors). I gather the following data from students from three majors (Psychology, Chemistry, and Engineering), that are in their freshmen or senior years and ask them about their stress levels (scale of 1-10, with lower numbers meaning less stress). Using the data below, test whether there are effects of class, major, or an interaction between them at an alpha of 0.05.
Psychology
Chemistry
Engineering
Freshmen
3, 4, 4, 2, 4
4, 5, 7, 8, 4
5, 7, 7, 8, 5
Senior
4, 5, 5, 3, 5
8, 5, 6, 7, 7
9, 9, 8, 7, 9
Complete the ANOVA summary table below:
Source
SS
df
MS (variance)
F
MAJOR
CLASS
MAJOR*CLASS
ERROR/RESIDUAL
Nothing here
TOTAL
Nothing here
Nothing here
What can we conclude?…
As an admissions counselor, I am interested in understanding whether or not there is a difference in stress levels not only between different majors but also between different classes (Freshman v. Seniors). I gather the following data from students from three majors (Psychology, Chemistry, and Engineering), that are in their freshmen or senior years and ask them about their stress levels (scale of 1-10, with lower numbers meaning less stress). Using the data below, test whether there are effects of class, major, or an interaction between them at an alpha of 0.05.
Psychology
Chemistry
Engineering
Freshmen
3, 4, 4, 2, 4
4, 5, 7, 8, 4
5, 7, 7, 8, 5
Senior
4, 5, 5, 3, 5
8, 5, 6, 7, 7
9, 9, 8, 7, 9
What is the critical F value for major?
___________
What is the critical F value for class?
___________
What is the critical F value for the interaction between major and class?
___________
A recent study randomly selected women from various countries around the world and collected information about diet and health. The women who at a Paleo diet had lower rates of Osteoporosis when compared to the other women in the study.
A. Which is the explanatory variable and why.
B. Which is the response variable and why.
C. Write a conclusion appropriate for this type of study that describes the relationship between the explanatory and response variables.
Chapter 1 Solutions
Introductory Statistics
Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - Coding Suppose you decided to code living...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - Coding Students who have accumulated fewer than 30...
Ch. 1 - Facebook Wall Posts (Example 2) A student shared...Ch. 1 - Age of Marriage A student did a survey on the age...Ch. 1 - Snacks Emmanuel, a student at a Los Angeles high...Ch. 1 - Movies A sample of students were questioned to...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Investigating Data (Example 4) A data set on Shark...Ch. 1 - Investigating Data Suppose a surfer wanted to...Ch. 1 - Hands (Example 5) A survey was done of men’s and...Ch. 1 - Hands-Biased A survey was done of men’s and...Ch. 1 - Finding and Using Percentages a. A statistics...Ch. 1 - Finding and Using Percentages a. A hospital...Ch. 1 - Women Find the frequency, proportion, and...Ch. 1 - Brown-Haired People Find the frequency,...Ch. 1 - Two-Way Table from Data Make a two-way table from...Ch. 1 - Two-Way Table from Data Make a two-way table from...Ch. 1 - Occupation Growth (Example 6) The 2017 World...Ch. 1 - Chocolate Sales The 2017 World Almanac and Book of...Ch. 1 - Incarceration Rates (Example 7) The table gives...Ch. 1 - Population Density The accompanying table gives...Ch. 1 - Health Insurance The accompanying table gives the...Ch. 1 - Cable TV Subscriptions The accompanying table...Ch. 1 - Percentage of Elderly The projected U.S....Ch. 1 - Marriage and Divorce The marriage and divorce...Ch. 1 - Course Enrollment Rates Two sections of statistics...Ch. 1 - Prob. 38SECh. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - Vitamin C and Cancer The blog NHS Choices...Ch. 1 - Aloe Vera You can find many testimonials on the...Ch. 1 - Effects of Tutoring on Math Grades (Example 8) A...Ch. 1 - Treating Depression A doctor who believes strongly...Ch. 1 - Try Exercise and Language Learning (Example 9) In...Ch. 1 - Pneumonia Vaccine for Young Children A study...Ch. 1 - Does Fish Oil Lower Asthma Risk? The New England...Ch. 1 - Association between Glycemic Load and Acne? An...Ch. 1 - Milk and Cartilage (Example 10) Cartilage is a...Ch. 1 - Autism and MMR Vaccine An article by Wakefield et...Ch. 1 - Prob. 55SECh. 1 - Effect of Confederates on Compliance A study was...Ch. 1 - A Salad a Day Keeps Stroke Away? The Harvard Heart...Ch. 1 - Does Drinking Sugary Beverages Lead to Dementia?...Ch. 1 - Secondhand Smoke Exposure and Young Children...Ch. 1 - Prob. 60CRECh. 1 - Speeding Tickets College students who were drivers...Ch. 1 - Prob. 62CRECh. 1 - Writing: Vitamin D Describe the design of a...Ch. 1 - Writing: Strokes People who have had strokes are...Ch. 1 - Yoga and High-Risk Adolescents Can mindful yoga...Ch. 1 - Neurofeedback and ADHD Some studies have indicated...Ch. 1 - Virtual Reality and Fall Risk A study was...Ch. 1 - Ear Infections Babies 6 to 23 months of age with...Ch. 1 - Effects of Light Exposure A study carried out by...Ch. 1 - Scared Straight The idea of sending delinquents to...
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