1. Let X equal the weight (in grams) of a grape-flavored Jolly Rancher. Denote the median of X by m. We shall test Ho: m = 5.900 against H₁: m> 5.900. A random sample of size n = 25 yielded the following ordered data: 5.625, 5.665, 5.697, 5.837, 5.863, 5.870, 5.878, 5.884, 5.908, 5.967, 6.019, 6.020, 6.029, 6.032, 6.037, 6.045, 6.049, 6.050, 6.079, 6.116, 6.159, 6.186, 6.199, 6.307, 6.387. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon test statistic to test the hypothesis. (c) Use a t test to test the hypothesis. (d) Write a short comparison of the three tests.
1. Let X equal the weight (in grams) of a grape-flavored Jolly Rancher. Denote the median of X by m. We shall test Ho: m = 5.900 against H₁: m> 5.900. A random sample of size n = 25 yielded the following ordered data: 5.625, 5.665, 5.697, 5.837, 5.863, 5.870, 5.878, 5.884, 5.908, 5.967, 6.019, 6.020, 6.029, 6.032, 6.037, 6.045, 6.049, 6.050, 6.079, 6.116, 6.159, 6.186, 6.199, 6.307, 6.387. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon test statistic to test the hypothesis. (c) Use a t test to test the hypothesis. (d) Write a short comparison of the three tests.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:1. Let X equal the weight (in grams) of a grape-flavored Jolly Rancher. Denote the median of X by m. We
shall test Ho: m = 5.900 against H₁: m > 5.900. A random sample of size n = 25 yielded the following
ordered data: 5.625, 5.665, 5.697, 5.837, 5.863, 5.870, 5.878, 5.884, 5.908, 5.967, 6.019, 6.020, 6.029,
6.032, 6.037, 6.045, 6.049, 6.050, 6.079, 6.116, 6.159, 6.186, 6.199, 6.307, 6.387.
(a) Use the sign test to test the hypothesis.
(b) Use the Wilcoxon test statistic to test the hypothesis.
(c) Use a t test to test the hypothesis.
(d) Write a short comparison of the three tests.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman