Purchase Solution

ANOVA: Mean Squares And The Common Population Variance

Not what you're looking for?

Ask Custom Question

In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 280 students in the class, so that each version was given to 70 students. After the exam, the professor computed the following information about the scores (the exam was worth 200 points):

Group Sample Size Sample Mean Sample Variance
version A 70 156.1 343.0
version B 70 148.0 362.1
version C 70 151.0 318.1
version D 70 153.9 388.6

The professor is willing to assume that the populations of scores from which the above samples were drawn are approximately normally distributed and that each has the same mean and the same variance.

Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.

Give an estimate of this common population variance based on the variance of the same means given ___

Give an estimate of this common population variance by pooling the sample variances given _______

Purchase this Solution
Solution Summary

This solution shows step-by-step calculations of an ANOVA analysis by determining the common population variance based on the variance of the same mean and the pooling of the sample variances.

Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

View More Free Quizzes
Related BrainMass Solutions

  • ANOVA for LLD Records Problem

    247089 ANOVA: Mean Squares and the Common Population Variance ANOVA: Mean squares and the common population variance At LLD Records, some of the market research of college students is done during promotions on college campuses, while other market research

  • Mean Squares & Population Variance

    ANOVA: Mean squares and the common population variance In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the 344 students in the class, so that each

  • Several ANOVA problems

    For the ANOVA test, it is assumed that the variance is the same for each population of daily sales (that is, for the population of daily sales for each location).What is an unbiased estimate of this common population variance based on the sample variance

  • Analysis of variance: management

    What is an unbiased estimate of this common population variance based on the sample variances? = Mean square error = 127800.3 Using the 0.05 level of significance, what is the critical value of the F statistic for the ANOVA test?

  • ANOVA and the F statistic at the 0.01 significance level.

    For the ANOVA test, it is assumes that the population variance of hours worked per week is the same for each population of workers represented. What is an unbiased estimated of this common population variance based on the sample variances?

  • Within Sample Sum of Squares

    In a one-way ANOVA test, the SSW is used in the calculation of the within mean square, and it is an unbiased estimate of the population variance.

  • ANOVA for Purchase Scores

    167115 Running ANOVA: Purchase Scores Example ANOVA: Mean squares and the common population variance At LLD Records, some of the market research of college students is done during promotions on college campuses, while other market research of college

  • ANOVA for Emma's On-the-Go

    ANOVA: Mean squares and the common population variance Emma's On-the-Go, a large convenience store that makes a good deal of money from magazine sales, has three possible locations in the store for its magazine rack: in the front of the store (to attract

  • Is there no difference between mean flight delay times among countries?

    For the ANOVA Test it is assumed that the population variances of the flight delay times are equal for each country studied. What is an unbiased estimate of this common population variance based on the sample variances?

View More Related Solutions