Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Textbook Question
Chapter 20, Problem 83E
Tees Does it matter what kind of tee a golfer places the ball on? The company that manufactures “Stinger” tees claims that the thinner shaft and smaller head lessen resistance and drag, reducing spin and allowing the ball to travel farther. In August 2003, Golf Laboratories, Inc., compared the distance traveled by golf balls hit off regular wooden tees to those hit off Stinger tees. All the balls were struck by the same golf club using a robotic device set to swing the club head at approximately 95 miles per hour. Summary statistics from the test are shown in the table below. Assume that 6 balls were hit off each tee and that the data were suitable for inference.
Is there evidence that balls hit off the Stinger tees have a higher initial velocity?
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 20 Solutions
Intro Stats
Ch. 20.3 - A public broadcasting station plans to launch a...Ch. 20.3 - Prob. 2JCCh. 20.4 - Prob. 3JCCh. 20.4 - Prob. 4JCCh. 20.5 - Prob. 5JCCh. 20.5 - Prob. 6JCCh. 20.5 - Prob. 7JCCh. 20.5 - Prob. 8JCCh. 20.6 - Prob. 9JCCh. 20.6 - Recall the experiment comparing patients 4 weeks...
Ch. 20.6 - Prob. 11JCCh. 20 - Canada Suppose an advocacy organization surveys...Ch. 20 - Non-profits Do people who work for non-profit...Ch. 20 - Prob. 3ECh. 20 - Prob. 4ECh. 20 - Canada, deux The information in Exercise 1 was...Ch. 20 - Prob. 6ECh. 20 - Prob. 7ECh. 20 - Prob. 8ECh. 20 - Prob. 9ECh. 20 - Prob. 10ECh. 20 - Prob. 11ECh. 20 - Prob. 12ECh. 20 - Prob. 13ECh. 20 - Athlete ages, again Using the summary statistics...Ch. 20 - Prob. 15ECh. 20 - Athlete ages, ninth inning The researchers in...Ch. 20 - Prob. 17ECh. 20 - Athlete ages, overtime Repeat the test you did in...Ch. 20 - Prob. 19ECh. 20 - Prob. 20ECh. 20 - Prob. 21ECh. 20 - Prob. 22ECh. 20 - Prob. 23ECh. 20 - Prob. 24ECh. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Graduation The U.S. Department of Commerce...Ch. 20 - Prob. 29ECh. 20 - Carpal tunnel The painful wrist condition called...Ch. 20 - Prob. 31ECh. 20 - Prob. 32ECh. 20 - Ear infections A new vaccine was recently tested...Ch. 20 - Anorexia The Journal of the American Medical...Ch. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - Teen smoking A Vermont study published by the...Ch. 20 - Depression A study published in the Archives of...Ch. 20 - Birthweight The Journal of the American Medical...Ch. 20 - Politics and sex One month before the election, a...Ch. 20 - Prob. 41ECh. 20 - Prob. 42ECh. 20 - Pain Researchers comparing the effectiveness of...Ch. 20 - Gender gap Candidates for political office realize...Ch. 20 - Prob. 45ECh. 20 - Prob. 46ECh. 20 - Sensitive men In the same article from Exercise...Ch. 20 - Carbs Recently, the Gallup Poll asked 1005 U.S....Ch. 20 - Food preference GfK Roper Consulting gathers...Ch. 20 - Prob. 50ECh. 20 - Hot dogs In the July 2007 issue, Consumer Reports...Ch. 20 - Prob. 52ECh. 20 - Prob. 53ECh. 20 - Prob. 54ECh. 20 - Hot dogs, last one In Exercise 53, we saw a 90%...Ch. 20 - Third load of wash In Exercise 54, we saw a 98%...Ch. 20 - Prob. 57ECh. 20 - Prob. 58ECh. 20 - Prob. 59ECh. 20 - Prob. 60ECh. 20 - Commuting A man who moves to a new city sees that...Ch. 20 - Pulse rates A researcher wanted to see whether...Ch. 20 - 63. View of the water How much extra is having a...Ch. 20 - New construction The house sales we looked at in...Ch. 20 - Cereal sugar The data below show the sugar content...Ch. 20 - Prob. 66ECh. 20 - Prob. 67ECh. 20 - Prob. 68ECh. 20 - Prob. 69ECh. 20 - Prob. 70ECh. 20 - Prob. 71ECh. 20 - Prob. 72ECh. 20 - Prob. 73ECh. 20 - Prob. 74ECh. 20 - Prob. 75ECh. 20 - Ad campaign You are a consultant to the marketing...Ch. 20 - Prob. 77ECh. 20 - Thirsty? Researchers randomly assigned...Ch. 20 - Prob. 79ECh. 20 - Prob. 80ECh. 20 - 81. Running heats In Olympic running events,...Ch. 20 - Prob. 82ECh. 20 - Tees Does it matter what kind of tee a golfer...Ch. 20 - Golf again Given the test results on golf tees...Ch. 20 - Music and memory Is it a good idea to listen to...Ch. 20 - Rap Using the results of the experiment described...
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