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Statistics / OpenIntro Statistics 3 / Chapter 5 / Problem 5.47

OpenIntro Statistics | 3rd Edition | ISBN: 9781943450039 | Authors: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel

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QUESTION:

Undergraduate students taking an introductory statistics course at Duke University conducted a survey about GPA and major. The side-by-side boxplots show the distribution of GPA among three groups of majors. Also provided is the ANOVA output.

(a) Write the hypotheses for testing for a difference between average GPA across majors.

(b) What is the conclusion of the hypothesis test?

(c) How many students answered these questions on the survey, i.e. what is the sample size?

Questions & Answers

QUESTION:

Undergraduate students taking an introductory statistics course at Duke University conducted a survey about GPA and major. The side-by-side boxplots show the distribution of GPA among three groups of majors. Also provided is the ANOVA output.

(a) Write the hypotheses for testing for a difference between average GPA across majors.

(b) What is the conclusion of the hypothesis test?

(c) How many students answered these questions on the survey, i.e. what is the sample size?

ANSWER:

Step 1 of 4

(a)

The average GPA is the same across all majors.

At least one pair of mean is different.

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