Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 5, Problem 4E
Placement exams An incoming freshman took her college’s placement exams in French and mathematics. In French, she scored 82 and in math 86. The overall results on the French exam had a
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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 5 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.1 - A distribution of incomes shows a strongly right...Ch. 5.2 - Prob. 3JCCh. 5.2 - Prob. 4JCCh. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 6JCCh. 5.3 - The mean of our original sample of 100 commute...Ch. 5.3 - Prob. 8JCCh. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Mensa People with z-scores above 2.5 on an IQ test...
Ch. 5 - Temperatures A towns January high temperatures...Ch. 5 - Placement exams An incoming freshman took her...Ch. 5 - Shipments A company selling clothing on the...Ch. 5 - Hotline A companys customer service hotline...Ch. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - IQ Some IQ tests are standardized to a Normal...Ch. 5 - Prob. 11ECh. 5 - Stats test Suppose your statistics professor...Ch. 5 - Normal cattle The Virginia Cooperative Extension...Ch. 5 - IQs revisited Based on the Normal model N(100, 15)...Ch. 5 - ACT scores The Mathematics section of the ACT test...Ch. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Wisconsin ACT 2015 The histogram shows the...Ch. 5 - Payroll Here are the summary statistics for the...Ch. 5 - Hams A specialty foods company sells gourmet hams...Ch. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Windy In the last chapter, we looked at three...Ch. 5 - Prob. 25ECh. 5 - Combining scores again The first Stat exam had a...Ch. 5 - Final exams Anna, a language major, took final...Ch. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Car speeds 100 John Beale of Stanford, California,...Ch. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Small steer In Exercise 29, we suggested the model...Ch. 5 - Prob. 38ECh. 5 - Trees A forester measured 27 of the trees in a...Ch. 5 - Rivets A company that manufactures rivets believes...Ch. 5 - Prob. 41ECh. 5 - Car speeds 100, the picture For the car speed data...Ch. 5 - Winter Olympics 2014 Thirty-four men completed the...Ch. 5 - Check the model The mean of the 100 car speeds in...Ch. 5 - Receivers 2015 NFL data from the 2015 football...Ch. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - More cattle Based on the model N(1152, 84)...Ch. 5 - More IQs In the Normal model N(100, 15) from...Ch. 5 - Prob. 51ECh. 5 - IQ, finis Consider the IQ model N(100, 15) one...Ch. 5 - Cholesterol Assume the cholesterol levels of adult...Ch. 5 - Tires A tire manufacturer believes that the...Ch. 5 - Kindergarten Companies that design furniture for...Ch. 5 - Prob. 56ECh. 5 - Eggs Hens usually begin laying eggs when they are...Ch. 5 - Tomatoes Agricultural scientists are working on...
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