Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. Assume that commute times are normally distributed. 14. State the null and alternative hypotheses. 15. What is the F Statistic? 16. At the 5% significance level, what can we say about the cyclists' variances?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
icon
Related questions
Question
Please answer number 15 and 16 in the photo and use the question in the photo to answer. (Based on two tail test answer is you reject the null hypothesis). Please answer clearly and explain. Thank you
Use the following information to answer the next three exercises. Two cyclists are comparing the variances of
their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a
variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the
same or different. Assume that commute times are normally distributed.
14. State the null and alternative hypotheses.
15. What is the F Statistic?
16. At the 5% significance level, what can we say about the cyclists' variances?
Transcribed Image Text:Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. Assume that commute times are normally distributed. 14. State the null and alternative hypotheses. 15. What is the F Statistic? 16. At the 5% significance level, what can we say about the cyclists' variances?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
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…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL