Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 6, Problem 5E
a.
To determine
Check whether the statement “A
b.
To determine
To check whether the statement “Multiplying every value of x by 2 will double the correlation” is true or false.
c.
To determine
To check whether the statement “The units of the correlation are the same as the units of y” is true or false.
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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 6 Solutions
Intro Stats
Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Prob. 4JCCh. 6.2 - Prob. 5JCCh. 6 - Association Suppose you were to collect data for...Ch. 6 - Association II Suppose you were to collect data...Ch. 6 - Bookstore sales Consider the following data from a...Ch. 6 - Prob. 4ECh. 6 - Prob. 5E
Ch. 6 - Correlation facts II If we assume that the...Ch. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10ECh. 6 - Association III Suppose you were to collect data...Ch. 6 - Prob. 12ECh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Firing pottery A ceramics factory can fire eight...Ch. 6 - Coffee sales Owners of a new coffee shop tracked...Ch. 6 - Matching Here are several scatterplots. The...Ch. 6 - Matching II Here are several scatterplots. The...Ch. 6 - Prob. 21ECh. 6 - Car thefts The National Insurance Crime Bureau...Ch. 6 - Prob. 23ECh. 6 - Antidepressants A study compared the effectiveness...Ch. 6 - Streams and hard water In a study of streams in...Ch. 6 - Traffic headaches A study of traffic delays in 68...Ch. 6 - Cold nights Is there an association between time...Ch. 6 - Association V A researcher investigating the...Ch. 6 - Prob. 29ECh. 6 - Prob. 30ECh. 6 - Correlation errors Your Economics instructor...Ch. 6 - More correlation errors Students in the Economics...Ch. 6 - Height and reading A researcher studies children...Ch. 6 - Prob. 34ECh. 6 - Correlation conclusions I The correlation between...Ch. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Sample survey A polling organization is checking...Ch. 6 - Income and housing The Office of Federal Housing...Ch. 6 - Prob. 40ECh. 6 - 41. Fuel economy 2010 Here are advertised...Ch. 6 - Drug abuse A survey was conducted in the United...Ch. 6 - Prob. 43ECh. 6 - Burgers again In the previous exercise you...Ch. 6 - Prob. 45ECh. 6 - 46. Second inning 2010 Perhaps fans are just more...Ch. 6 - Prob. 47ECh. 6 - Prob. 48ECh. 6 - Prob. 49ECh. 6 - Vehicle weights The Minnesota Department of...Ch. 6 - Prob. 51ECh. 6 - Prob. 52E
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