Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 13, Problem 58P
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
At the 5% significance level, what can we say about the cyclists’ variances?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A client of a commercial rose grower has been keeping records on the shelf-life of a rose. The client sent the following frequency distribution to the grower.
Rose Shelf-Life
Days of Shelf-Life Frequency fi
1-5
2
6-10
4
11-15
7
16-20
6
21-25
26-30
5
2
Step 2 of 2: Calculate the population standard deviation for the shelf-life. Round your answer to two decimal places, if necessary.
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use = .05 and the following data to test the hypothesis and comment on the value of the commercial.
Purchase Rating
Purchase Rating
Individual
After
Before
Individual
After
Before
1
6
5
5
3
5
2
6
4
6
9
8
3
7
7
7
7
5
4
4
3
8
6
6
What are the hypotheses?H0: d Ha: d
Compute (to 3 decimals).Compute sd (to 1 decimal).
What is the p-value?The p-value is
What is your decision?
Why would you use a histograph or bar graph? Which would be better and why for the data shown.
Chapter 13 Solutions
Introductory Statistics
Ch. 13 - As part of an experiment to see how different...Ch. 13 - MRSA, or Staphylococcus aureus, can cause a...Ch. 13 - Four sports teams took a random sample of players...Ch. 13 - Another fourth grader also grew bean plants, but...Ch. 13 - The New York Choral Society divides male singers...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - One-Way ANOVA Use the following information to...Ch. 13 - One-Way ANOVA Use the following information to...Ch. 13 - One-Way ANOVA Use the following information to...
Ch. 13 - State the null hypothesis for a one-way ANOVA test...Ch. 13 - State the alternative hypothesis for a one-way...Ch. 13 - When do you use an ANOVA test?Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - 2 The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - What happens to the curves as the degrees of...Ch. 13 - What is the df(num)?Ch. 13 - What is the df(denom)?Ch. 13 - What are the Sum of Squares and Mean Squares...Ch. 13 - What are the Sum of Squares and Mean Squares...Ch. 13 - What is the F statistic?Ch. 13 - What is the p-value?Ch. 13 - At the 5% significance level, is there a...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Test of Two Variances Use the following...Ch. 13 - Test of Two Variances Use the following...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - What is the p-value?Ch. 13 - Is the claim accurate?Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - Three different traffic routes are tested for mean...Ch. 13 - Suppose a group is interested in determining...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - The F Distribution and the F-Ratio Use the...Ch. 13 - Three students, Linda, Tuan, and Javier, are given...Ch. 13 - A grassroots group opposed to a proposed increase...Ch. 13 - Use the following information to answer the next...Ch. 13 - Use the following information to answer the next...Ch. 13 - A researcher wants to know if the mean times (in...Ch. 13 - Are the means for the final exams the same for all...Ch. 13 - Are the mean number of times a month a person eats...Ch. 13 - Are the mean numbers of daily visitors to a ski...Ch. 13 - Sanjay made identical paper airplanes out of three...Ch. 13 - DDT is a pesticide that has been banned from use...Ch. 13 - The data shown is the recorded body temperatures...Ch. 13 - Three students, Linda, Tuan, and Javier, are given...Ch. 13 - A grassroots group opposed to a proposed increase...Ch. 13 - Which two magazine types do you think have the...Ch. 13 - Which two magazine types do you think have...Ch. 13 - Is the variance for the amount of money, in...Ch. 13 - Are the variances for incomes on the East Coast...Ch. 13 - Thirty men in college were taught a method of...Ch. 13 - King Manuel I, Komnenus ruled the Byzantine Empire...Ch. 13 - The American League and the National League of...
Additional Math Textbook Solutions
Find more solutions based on key concepts
A categorical variable has three categories, with the following frequencies of occurrence: a. Compute the perce...
Basic Business Statistics, Student Value Edition
Violins Professional musicians listened to five violins being played, without seeing the instruments. One violi...
Introductory Statistics
Twenty five people, consisting of 15 women and 10 men are lined up in a random order. Find the probability that...
A First Course in Probability (10th Edition)
An object of mass m travels along the parabola y = x2 with a constant speed of 10 units/ sec. What is the force...
University Calculus: Early Transcendentals (4th Edition)
Calculating derivatives Find dy/dx for the following functions. 17. y = sin x + cos x
Calculus: Early Transcendentals (2nd Edition)
Knowledge Booster
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
- Please help me with this question on statisticsarrow_forwardPlease help me with this statistics questionarrow_forwardPlease help me with the following statistics questionFor question (e), the options are:Assuming that the null hypothesis is (false/true), the probability of (other populations of 150/other samples of 150/equal to/more data/greater than) will result in (stronger evidence against the null hypothesis than the current data/stronger evidence in support of the null hypothesis than the current data/rejecting the null hypothesis/failing to reject the null hypothesis) is __.arrow_forward
- Please help me with the following question on statisticsFor question (e), the drop down options are: (From this data/The census/From this population of data), one can infer that the mean/average octane rating is (less than/equal to/greater than) __. (use one decimal in your answer).arrow_forwardHelp me on the following question on statisticsarrow_forward3. [15] The joint PDF of RVS X and Y is given by fx.x(x,y) = { x) = { c(x + { c(x+y³), 0, 0≤x≤ 1,0≤ y ≤1 otherwise where c is a constant. (a) Find the value of c. (b) Find P(0 ≤ X ≤,arrow_forward
- Need help pleasearrow_forward7. [10] Suppose that Xi, i = 1,..., 5, are independent normal random variables, where X1, X2 and X3 have the same distribution N(1, 2) and X4 and X5 have the same distribution N(-1, 1). Let (a) Find V(X5 - X3). 1 = √(x1 + x2) — — (Xx3 + x4 + X5). (b) Find the distribution of Y. (c) Find Cov(X2 - X1, Y). -arrow_forward1. [10] Suppose that X ~N(-2, 4). Let Y = 3X-1. (a) Find the distribution of Y. Show your work. (b) Find P(-8< Y < 15) by using the CDF, (2), of the standard normal distribu- tion. (c) Find the 0.05th right-tail percentage point (i.e., the 0.95th quantile) of the distri- bution of Y.arrow_forward
- 6. [10] Let X, Y and Z be random variables. Suppose that E(X) = E(Y) = 1, E(Z) = 2, V(X) = 1, V(Y) = V(Z) = 4, Cov(X,Y) = -1, Cov(X, Z) = 0.5, and Cov(Y, Z) = -2. 2 (a) Find V(XY+2Z). (b) Find Cov(-x+2Y+Z, -Y-2Z).arrow_forward1. [10] Suppose that X ~N(-2, 4). Let Y = 3X-1. (a) Find the distribution of Y. Show your work. (b) Find P(-8< Y < 15) by using the CDF, (2), of the standard normal distribu- tion. (c) Find the 0.05th right-tail percentage point (i.e., the 0.95th quantile) of the distri- bution of Y.arrow_forward== 4. [10] Let X be a RV. Suppose that E[X(X-1)] = 3 and E(X) = 2. (a) Find E[(4-2X)²]. (b) Find V(-3x+1).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY