Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q.53

Expert-verified

Introductory Statistics

Found in: Page 767

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Two students are interested in whether or not there is variation in their test scores for math class. There are $15$ total math tests they have taken so far. The first student’s grades have a standard deviation of $38.1$ .The
second students' grades have a standard deviation of $22.5$ . The second student thinks his scores are more consistent.
What is the F Statistic?

The value of the F-statistic is calculated as follows $2.86$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Information

The following information is given in the question, there are $15$ total math tests they have taken so far. The first student’s grades have a standard deviation of $38.1$ . The second students' grades have a standard deviation of $22.5$ . What is the F Statistic?

Step 2: Explanation

To compute the value of the F-Statistic, use the Ti- $83$ calculator. The procedure is shown as below:

1. Click on the STAT $\to$ arrow over the TESTS $\to$ arrow down to $2$ -sample F-test $\to$ ENTER $\to$ arrow to the Stats and press ENTER. The screenshot is given as below:

Step 3: Explanation

$2. Now enter the values of S x_{1} = 38.1 n_{1} = 15$

$S x_{2} = 22.5 and n_{2} = 15 then press ENTER.$

The screenshot is given as below

Step 4: Explanation

3. Select the hypothesis as H_{$1$ : $σ_{1} < σ_{2}$} and press ENTER. Then arrow down to calculate, and press ENTER. The screenshot of the obtained output is given as below:

Thus,the value of F-statistic is $2.86$

Most popular questions for Math Textbooks

An $F$ statistic can have what values?

What is the $d f (d e n o m)$ ?

Use the following information to answer the next five exercises. Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for $20$ commutes. The first worker’s times have a variance of $12.1$ . These coworkers' times have a variance of $16.9$ . The first worker thinks that he is more consistent with his commute times. Test the claim at the $10$ % level. Assume that commute times are normally distributed. . State the null and alternative hypotheses

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.

When do you use an ANOVA test?

What is the Sum of Squares Error?

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free