close solutoin list

Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, health behaviors, and diet. Using body mass index (BMI), they classified the students into four categories; underweight, healthy weight, overweight, and obese. They also measured dietary variety by counting the number of different foods each student ate from several food groups. Note that the researchers are not measuring the amount of food eaten, but rather the number of different foods eaten (variety, not quantity). Nonetheless, it was somewhat surprising that the results showed no differences among the tour weight categories that were related to eating fatty and/or sugary snacks. Suppose a researcher conducting a follow up study obtains a sample of n = 25 students classified as healthy weight and a sample of n = 36 students classified as overweight Each student completes the food variety questionnaire, and the healthy-weight group produces a mean of M = 4.01 for the fatty, sugary snack category compared to a mean of M = 4.48 for the overweight group. The results from the Brunt, Rhee, and Zhong study showed an overall mean variety score of μ = 4.22 for the discretionary sweets or fats food group. Assume that the distribution of scores is approximately normal with a standard deviation of σ = 0.60. a. Does the sample of n = 36 indicate that the number of fatty, sugary snacks eaten by overweight students is significantly different front the overall population mean? Use a two-tailed test with α = .05. b. Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population? Use a one-tailed test with α = .05.

BuyFind

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570
BuyFind

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570

Solutions

Chapter
Section
Chapter 8, Problem 8P
Textbook Problem

Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, health behaviors, and diet. Using body mass index (BMI), they classified the students into four categories; underweight, healthy weight, overweight, and obese. They also measured dietary variety by counting the number of different foods each student ate from several food groups. Note that the researchers are not measuring the amount of food eaten, but rather the number of different foods eaten (variety, not quantity). Nonetheless, it was somewhat surprising that the results showed no differences among the tour weight categories that were related to eating fatty and/or sugary snacks.

Suppose a researcher conducting a follow up study obtains a sample of n = 25 students classified as healthy weight and a sample of n = 36 students classified as overweight Each student completes the food variety questionnaire, and the healthy-weight group produces a mean of M = 4.01 for the fatty, sugary snack category compared to a mean of M = 4.48 for the overweight group. The results from the Brunt, Rhee, and Zhong study showed an overall mean variety score of μ = 4.22 for the discretionary sweets or fats food group. Assume that the distribution of scores is approximately normal with a standard deviation of σ = 0.60.

  1. a. Does the sample of n = 36 indicate that the number of fatty, sugary snacks eaten by overweight students is significantly different front the overall population mean? Use a two-tailed test with α = .05.

b. Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population? Use a one-tailed test with α = .05.

Expert Solution

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Solution

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Chapter 8 Solutions

Essentials of Statistics for the Behavioral Sciences
Show all chapter solutions
Ch. 8.2 - If a sample mean is in the critical region with =...Ch. 8.3 - A researcher conducts a hypothesis test with =...Ch. 8.3 - In a research report, the term significant is used...Ch. 8.3 - In a research report, the results of hypothesis...Ch. 8.3 - If other factors are held constant, increasing the...Ch. 8.3 - If other factors are held constant, are you more...Ch. 8.4 - A researcher selects a sample from a population...Ch. 8.4 - If a sample is sufficient to reject the null...Ch. 8.4 - A researcher obtains z = 2.43 for a hypothesis...Ch. 8.5 - Explain how increasing the sample size influences...Ch. 8.5 - A researcher selects a sample from a population...Ch. 8.5 - A researcher selects a sample from a population...Ch. 8.6 - As the power of a test increase, what happens to...Ch. 8.6 - For a 5-point treatment effect, a researcher...Ch. 8.6 - How does sample size influence the power of a...Ch. 8.6 - A researcher administers a treatment to a sample...Ch. 8 - The value of the z-score in a hypothesis test is...Ch. 8 - Define the alpha level and the critical region,...Ch. 8 - Although there is a popular belief that herbal...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - A local college requires an English composition...Ch. 8 - A random simple is selected from a normal...Ch. 8 - A random sample of n = 25 scores is selected from...Ch. 8 - Brunt, Rhee, and Zhong (2008) surveyed 557...Ch. 8 - A random simple is selected from a normal...Ch. 8 - In a study examining the effect of alcohol on...Ch. 8 - The researchers cited in the previous problem...Ch. 8 - There is some evidence indicating that people with...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - Montarello and Martens (2005) found that...Ch. 8 - Researchers hate noted a decline in cognitive...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - A sample of n = 40 is selected from a normal...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...Ch. 8 - A researcher is investigating the effectiveness of...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - Find each of the requested values for a population...Ch. 8 - A survey of high school seniors shows that the...Ch. 8 - Miller (2008) examined the energy drink...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions
Evaluate the integral. dt(t21)2

Calculus (MindTap Course List)

Finding the Domain In Exercises 3944, find the domain of the function. f(x)=cosex

Calculus: Early Transcendental Functions (MindTap Course List)

Find all possible real solutions of each equation in Exercises 3144. y32y22y3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

For the demand equations in Exercises 57-60. where x represents the quantity demanded in units of a thousand an...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Fill in the blanks. The events E and F are mutually exclusive if EF=.

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 19 to 22, find the area of the shaded region.

Elementary Geometry for College Students

A circle is increasing in area at 4 cm2/min. How fast is the radius changing when the radius is 10 cm? cm/min...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Write in cylindrical coordinates, where E is the solid at the right.

Study Guide for Stewart's Multivariable Calculus, 8th

Find x. All dimensions are in millimeters.

Mathematics For Machine Technology

Weekly Cost Reporting. Stable cost reporting in a manufacturing setting is typically a sign that operations are...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

What is a logarithmic function?

Mathematics: A Practical Odyssey

In Problem 25–28 find dX/dt. 25.

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Systems That May Be Solved by Hand or With Technology The system of equations in Exercises S-7 through S-22may ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)