Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 3, Problem 18P
What is the
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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 3 Solutions
Introductory Statistics
Ch. 3 - The sample space S Is all the ordered pairs of two...Ch. 3 - You have a fair. well-shuffled deck of 52 cards....Ch. 3 - You have a fair, well-shuffled deck of 52 cards....Ch. 3 - Draw two cards from a standard 52-card deck with...Ch. 3 - A box has two balls, one white and one red. We...Ch. 3 - Let event A = learning Spanish. Let event B =...Ch. 3 - In a bag, there are six red marbles and four green...Ch. 3 - A student goes to the library. Let events B = the...Ch. 3 - In a basketball arena, • 70% of the fans are...Ch. 3 - Mark Is deciding which route to take to work. His...
Ch. 3 - A box has two balls, one white and one red. We...Ch. 3 - Helen plays basketball. For free throws she makes...Ch. 3 - A school has 200 seniors of whom 140 will be going...Ch. 3 - A student goes to the library. Let events B = the...Ch. 3 - A school has 200 seniors of whom 140 will be going...Ch. 3 - A student goes to the library Let events B = the...Ch. 3 - Table 3.3 shows the number of athletes who stretch...Ch. 3 - Table 3.6 shows a random sample of 200 cyclists...Ch. 3 - Table 3.10 relates the weights and heights of a...Ch. 3 - In a standard deck. there are 52 cards. 12 cards...Ch. 3 - In a standard deck, there are 52 cards. Twelve...Ch. 3 - Suppose there are four red balls and three yellow...Ch. 3 - Suppose an experiment has outcomes black, white,...Ch. 3 - Roll a fair, six-sided die. 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Eight are fiction and the...Ch. 3 - What is the sum of the probabilities of an event...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - E and F are mutually exclusive events. P(E) = 0.4;...Ch. 3 - J and K are independent events. P(J/ K) = 0.3....Ch. 3 - U and V are mutua11y exclusive events. P( U) =...Ch. 3 - Q and R are independent events. P(Q) = 0.4 and P(Q...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Complete the table using the data provided....Ch. 3 - Suppose that one person from the study Is randomly...Ch. 3 - Find the probability that the person was Latino.Ch. 3 - In words, explain what it means to pick one person...Ch. 3 - In words, explain what it means to pick one person...Ch. 3 - In words, explain what it means to pick one person...Ch. 3 - Prove that smoking level day and ethnicity are...Ch. 3 - Figure 3.11 The graph in Figure 3.11 displays the...Ch. 3 - Explain what is wrong with the following...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - On February 28, 2013, a Field Poll Survey reported...Ch. 3 - After Rob Ford, the mayor of Toronto, announced...Ch. 3 - Use the following information o answer the next...Ch. 3 - Use the following information o answer the next...Ch. 3 - Use the following information o answer the next...Ch. 3 - Suppose that you have eight cards. Five are green...Ch. 3 - Roll two fair dice separately. Each die has six...Ch. 3 - A special deck of cards has ten cards. Four are...Ch. 3 - An experiment consists of first rolling a die and...Ch. 3 - An experiment consists of tossing a nickel, a...Ch. 3 - Consider the following scenario: Let P(C) = 0.4....Ch. 3 - Y and Z are independent events. a. Rewrite the...Ch. 3 - G and H are mutually exclusive events. P(G) = 0.5...Ch. 3 - Approximately 281,000,000 people over age five...Ch. 3 - , the U.S. government held a lottery to issue...Ch. 3 - Three professors at George Washington University...Ch. 3 - The following table of data obtained from...Ch. 3 - United Blood Services Is a blood bank that serves...Ch. 3 - At a college. 72°o of courses have final exams and...Ch. 3 - In a box of assorted cookies, 36% contain...Ch. 3 - A college finds that 10% of students have taken a...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Use the information in the Table 3.19 to answer...Ch. 3 - Table 3.20 gives the number of suicides estimated...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Table 3.22 identifies a group of children by one...Ch. 3 - In a previous year, the weights of the members of...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - A box of cookies contains three chocolate and...Ch. 3 - A previous year, the weights of the members of the...Ch. 3 - The probability that a male develops some form of...Ch. 3 - Given events G and H: P(G) = 0.43; P(H) = 0.26;...Ch. 3 - Given events land K: P(J = 0.18; P(K = 0.37: P(J...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Use the following information to answer the next...Ch. 3 - Approximately 86.5% of Americans commute to work...Ch. 3 - When the Euro coin was introduced in 2002, two...Ch. 3 - Use the following information o answer the next...Ch. 3 - Answer these questions using probability rules. Do...
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