Homework Help is Here – Start Your Trial Now!
Math
Statistics
1. Consider the golf ball example again using a completely randomized deign with a single factor (see section 10.2). However, this time we only hit each golf ball 5 times instead of 10 times. The golf balls are brands A, B, C, D. So, there are 4 brands, (4 treatments), and 20 sample distances. That is, k= 4 and n = 20. The data below gives the average distance means and standard deviations for the sample distances. Brand Sample Mean Sample Standard Deviations 253.8 9.7570 263.2 5.4037 271.0 8.7178 262.0 7.4498 The average mean distance for all the 4 samples is 262.5 (this is x-bar). SST = 743.4 and SSE = 1023.6 Test the hypothesis that all the means are equal (this is the null hypothesis) against the alternative hypothesis that at least two means are different by doing the following: a. Calculate MST b. Calculate MSE c. Calculate F с. d. Using the table for F, find the rejection region e. Using alpha = 0.05, state whether you reject the null hypothesis or not.

1. Consider the golf ball example again using a completely randomized deign with a single factor (see section 10.2). However, this time we only hit each golf ball 5 times instead of 10 times. The golf balls are brands A, B, C, D. So, there are 4 brands, (4 treatments), and 20 sample distances. That is, k= 4 and n = 20. The data below gives the average distance means and standard deviations for the sample distances. Brand Sample Mean Sample Standard Deviations 253.8 9.7570 263.2 5.4037 271.0 8.7178 262.0 7.4498 The average mean distance for all the 4 samples is 262.5 (this is x-bar). SST = 743.4 and SSE = 1023.6 Test the hypothesis that all the means are equal (this is the null hypothesis) against the alternative hypothesis that at least two means are different by doing the following: a. Calculate MST b. Calculate MSE c. Calculate F с. d. Using the table for F, find the rejection region e. Using alpha = 0.05, state whether you reject the null hypothesis or not.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
1. Consider the golf ball example again using a completely randomized deign with a single factor (see section 10.2). However, this time we only hit each golf ball 5 times instead of 10 times. The golf balls are brands A, B, C, D. So, there are 4 brands, (4 treatments), and 20 sample distances. That is, k= 4 and n = 20. The data below gives the average distance means and standard deviations for the sample distances. Brand Sample Mean Sample Standard Deviations A 253.8 9.7570 263.2 5.4037 C 271.0 8.7178 262.0 7.4498 The average mean distance for all the 4 samples is 262.5 (this is x-bar). SST = 743.4 and SSE = 1023.6 Test the hypothesis that all the means are equal (this is the null hypothesis) against the alternative hypothesis that at least two means are different by doing the following: a. Calculate MST b. Calculate MSE С. Calculate F d. Using the table for F, find the rejection region e. Using alpha = 0.05, state whether you reject the null hypothesis or not.
Transcribed Image Text:1. Consider the golf ball example again using a completely randomized deign with a single factor (see section 10.2). However, this time we only hit each golf ball 5 times instead of 10 times. The golf balls are brands A, B, C, D. So, there are 4 brands, (4 treatments), and 20 sample distances. That is, k= 4 and n = 20. The data below gives the average distance means and standard deviations for the sample distances. Brand Sample Mean Sample Standard Deviations A 253.8 9.7570 263.2 5.4037 C 271.0 8.7178 262.0 7.4498 The average mean distance for all the 4 samples is 262.5 (this is x-bar). SST = 743.4 and SSE = 1023.6 Test the hypothesis that all the means are equal (this is the null hypothesis) against the alternative hypothesis that at least two means are different by doing the following: a. Calculate MST b. Calculate MSE С. Calculate F d. Using the table for F, find the rejection region e. Using alpha = 0.05, state whether you reject the null hypothesis or not.
Expert Solution
steps

Step by step

Solved in 6 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS