Explanation Calculation: From the given information the value of α is 0.01, and to test the claim that the distributions of growths are different for root stocks A and B . The null and alternative hypothesis is, Null hypothesis: H 0 : The distributions of growths are same for root stocks A and B . Alternative hypothesis: H 1 : The distributions of growths are different for root stocks A and B . Test statistic : The z value for the sample test statistic R is, z = R − μ R σ R In the formula R is the sum of ranks from the sample of size n 1 (smaller sample), μ R = n 1 ( n 1 + n 2 + 1 ) 2 σ R = n 1 n 2 ( n 1 + n 2 + 1 ) 12 n 1 be the sample size of the smaller sample and n 2 be the sample size of the larger sample Procedure for assigned rank to data values: First combine both the samples. Arrange the data values in ascending order. Rank each of the data value in sequential order. The rank for each of tied data is computed as, First assign the sequential position ranks for all the values that are same. Take the mean of all the position ranks that are assigned for same data values. Assign the mean rank as the rank position for all the tied data. The assigned mean rank is used in calculating the test statistic. The ranks are, Meters Rank Stock 1.58 1 B 1.94 2 A 1.96 3 B 2.1 4 A 2.13 5 B 2.26 6 A 2.37 7 A 2.44 8 B 2.52 9 B 2.58 10 A 2.71 11 B 2.74 12 A 2.77 13 B 2.78 14 B 2.81 15 A 2.86 16 B 2.88 17 A 2.91 18 B 2.94 19 A 3.02 20 B 3.11 21 A 3.41 22 A The smaller sample is 11 which corresponds the both ‘ A ’, and ‘ B ’. That is, n 1 = 11 , n 2 = 11 . The value of R is, R = 2 + 4 + 6 + 7 + 10 + 12 + 15 + 17 + 19 + 21 + 221 = 135 The value of R is 135

Bundle: Understandable Statistics, Loose-leaf Version, 12th + WebAssign Printed Access Card for Brase/Brase's Understandable Statistics: Concepts and Methods, 12th Edition, Single-Term

12th Edition

ISBN: 9781337605182

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 11, Problem 5CURP

To determine

Identify whether the distributions of growths are different for root stocks A and B.

Interpret the results.

Expert Solution & Answer

Chapter 11 Solutions

Bundle: Understandable Statistics, Loose-leaf Version, 12th + WebAssign Printed Access Card for Brase/Brase's Understandable Statistics: Concepts and Methods, 12th Edition, Single-Term

Ch. 11.1 - Statistical Literacy To apply the sign test, do...Ch. 11.1 - Prob. 2P Ch. 11.1 - Economic Growth: Asia Asian economies impact some...Ch. 11.1 - Debt: Developing Countries Borrowing money may be...Ch. 11.1 - Education: Exams A high school science teacher...Ch. 11.1 - Prob. 6P Ch. 11.1 - Prob. 7P Ch. 11.1 - Prob. 8P Ch. 11.1 - Prob. 9P Ch. 11.1 - Prob. 10P

Ch. 11.1 - Prob. 11P Ch. 11.1 - Prob. 12P Ch. 11.2 - Prob. 1P Ch. 11.2 - Prob. 2P Ch. 11.2 - Prob. 3P Ch. 11.2 - Prob. 4P Ch. 11.2 - Prob. 5P Ch. 11.2 - Prob. 6P Ch. 11.2 - Prob. 7P Ch. 11.2 - Prob. 8P Ch. 11.2 - Prob. 9P Ch. 11.2 - Prob. 10P Ch. 11.2 - Prob. 11P Ch. 11.3 - Prob. 1P Ch. 11.3 - Statistical Literacy Consider the Spearman rank...Ch. 11.3 - Prob. 4P Ch. 11.3 - Prob. 5P Ch. 11.3 - Prob. 6P Ch. 11.3 - Prob. 7P Ch. 11.3 - Prob. 8P Ch. 11.3 - Prob. 9P Ch. 11.3 - Prob. 10P Ch. 11.3 - Prob. 11P Ch. 11.4 - Prob. 1P Ch. 11.4 - Prob. 2P Ch. 11.4 - Prob. 3P Ch. 11.4 - Prob. 4P Ch. 11.4 - Prob. 5P Ch. 11.4 - Prob. 6P Ch. 11.4 - Prob. 7P Ch. 11.4 - Prob. 8P Ch. 11.4 - Prob. 9P Ch. 11.4 - Prob. 10P Ch. 11.4 - Prob. 11P Ch. 11.4 - Prob. 12P Ch. 11 - Prob. 1CRP Ch. 11 - Prob. 2CRP Ch. 11 - Prob. 3CRP Ch. 11 - Prob. 4CRP Ch. 11 - Prob. 5CRP Ch. 11 - Prob. 6CRP Ch. 11 - Prob. 7CRP Ch. 11 - Prob. 8CRP Ch. 11 - Prob. 9CRP Ch. 11 - Prob. 10CRP Ch. 11 - Prob. 1CURP Ch. 11 - Prob. 2CURP Ch. 11 - Prob. 3CURP Ch. 11 - Prob. 4CURP Ch. 11 - Prob. 5CURP Ch. 11 - Prob. 6CURP Ch. 11 - Prob. 7CURP

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Find the mean hourly cost when the cell phone described above is used for 240 minutes.

Recommended textbooks for you

Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:9781285463247

Author:David Poole

Publisher:Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897...

Algebra

ISBN:9780079039897

Author:Carter

Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...

Algebra

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:Houghton Mifflin Harcourt

Holt Mcdougal Larson Pre-algebra: Student Edition...

Algebra

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

College Algebra

Algebra

ISBN:9781337282291

Author:Ron Larson

Publisher:Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:9781337278461

Author:Ron Larson

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY

Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License

Identify whether the distributions of growths are different for root stocks A and B . Interpret the results.

Solution Summary: The author concludes that there is no evidence that the distributions of growths are different for root stocks A and B

Videos

Identify whether the distributions of growths are different for root stocks A and B.

Interpret the results.

Chapter 11 Solutions

Identify whether the distributions of growths are different for root stocks A and B . Interpret the results.

Solution Summary: The author concludes that there is no evidence that the distributions of growths are different for root stocks A and B

Videos

Identify whether the distributions of growths are different for root stocks A and B. Interpret the results.

Chapter 11 Solutions

Identify whether the distributions of growths are different for root stocks A and B.

Interpret the results.