Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305445963

Author: PECK

Publisher: Cengage

See similar textbooks

Videos

Textbook Question

Chapter 15.4, Problem 34E

The following partially completed ANOVA table approximately matches summary statistics given in the article “From Here to Equity: The Influence of Status on Student Access to and Understanding of Science” (Science Education [1999]: 577–602). The study described in this article attempted to quantify the effect of socioeconomic status on learning science. The response variable was “Rate of Talk” (the number of on-task talk speech acts per minute) during group work. Data were also collected on the variable socioeconomic status (low, middle, high) and the variable gender (female, male). The author allowed for an interaction between gender and status. Assume that there were 12 students at each status-gender level combination, for a total of 72 subjects.

Chapter 15.4, Problem 34E, The following partially completed ANOVA table approximately matches summary statistics given in the

a. Fill in the missing numbers in the ANOVA table.
b. Is there a significant interaction between status and gender?
c. Is there a difference between the mean “Rate of Talk” scores for girls and boys?
d. Is there a difference between the mean “Rate of Talk” scores across the three different status groups?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 15.4, Problem 33E

Chapter 15.4, Problem 35E

Chapter 15 Solutions

Introduction to Statistics and Data Analysis

Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Prob. 2E Ch. 15.1 - Employees of a state university system can choose...Ch. 15.1 - The accompanying summary statistics for a measure...Ch. 15.1 - The authors of the paper Age and Violent Content...Ch. 15.1 - The paper referenced in the previous exercise also...Ch. 15.1 - The Paper Womens and Mens Eating Behavior...Ch. 15.1 - Can use of an online plagiarism-detection system...Ch. 15.1 - The experiment described in Example 15.4 also gave...Ch. 15.1 - Prob. 10E

Ch. 15.1 - Prob. 11E Ch. 15.1 - Prob. 12E Ch. 15.1 - In an experiment to investigate the performance of...Ch. 15.2 - Leaf surface area is an important variable in...Ch. 15.2 - Prob. 15E Ch. 15.2 - Prob. 16E Ch. 15.2 - Prob. 17E Ch. 15.2 - The paper referenced in Exercise 15.5 described an...Ch. 15.2 - Prob. 19E Ch. 15.2 - The accompanying data resulted from a flammability...Ch. 15.2 - Do lizards play a role in spreading plant seeds?...Ch. 15.2 - Samples of six different brands of diet or...Ch. 15.3 - A particular county employs three assessors who...Ch. 15.3 - The accompanying display is a partially completed...Ch. 15.3 - With the use of biofuels increasing, investigators...Ch. 15.3 - Prob. 26E Ch. 15.3 - Prob. 27E Ch. 15.3 - Prob. 28E Ch. 15.4 - Prob. 29E Ch. 15.4 - The paper Feedback Enhances the Positive Effects...Ch. 15.4 - The following graphs appear in the paper Which...Ch. 15.4 - The behavior of undergraduate students when...Ch. 15.4 - Prob. 33E Ch. 15.4 - The following partially completed ANOVA table...Ch. 15.4 - Prob. 35E Ch. 15.4 - Prob. 36E Ch. 15.4 - Prob. 37E Ch. 15 - Suppose that a random sample or size n = 5 was...Ch. 15 - Parents are frequently concerned when their child...Ch. 15 - Prob. 40CR Ch. 15 - Consider the accompanying data on plant growth...Ch. 15 - Prob. 42CR Ch. 15 - Prob. 43CR Ch. 15 - Prob. 44CR Ch. 15 - Prob. 45CR Ch. 15 - Prob. 46CR Ch. 15 - Prob. 47CR Ch. 15 - Prob. 48CR Ch. 15 - Prob. 49CR

Knowledge Booster

$Statistics$

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.

Solution Summary: The author calculates the value of mean sum of squares for status, gender, interaction, error, and gender.

Videos

Want to see the full answer?

Chapter 15 Solutions