EBK FINITE MATHEMATICS AND CALCULUS WIT
10th Edition
ISBN: 8220102020252
Author: RITCHEY
Publisher: PEARSON
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Textbook Question
Chapter 7.2, Problem 50E
Lyme Disease Scientists have found a way to distinguish chronic-fatigue syndrome (CFS) from post-treatment Lyme disease by different proteins in a patient’s spinal fluid. In a study of 4365 patients,
1605 had the protein for normal patients, CFS, and post treatment Lyme disease;
1910 had the protein for CFS and Lyme;
738 had the protein for CFS only;
2783 had the protein for CFS;
1771 had the normal protein as well as the one for Lyme;
2768 had the protein for Lyme;
2630 had the normal protein.
Source: Science News.
- (a) How many had the protein for Lyme only?
- (b) How many had the normal protein only?
- (c) How many had none of the proteins?
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According to U.S. government statistics, mononucleosis (mono) is four times more common among college students than the rest of the population. Blood tests for the disease are not 100% accurate. Assume that the following table of data was obtained regarding students who came to a certain school's health center complaining of tiredness, a sore throat, and slight fever.
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Click the icon to view the data.
a. Compute p and sp
p-(Round to four decimal places as needed.)
Sp
(Round to four decimal places as needed)
b. Construct a p-chart and determine if the process of the time required for oil and lube jobs is in control
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O A.
OB.
Am
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a11=8 , a12=11 , a13=27 , a21=289 , a22=51 , a23=122
which is represented in the following table, were derived from a study of the effectiveness of a flu vaccine. The value in each cell of the table represents the number of individuals in that category. Some participants in the study were given no vaccine, some were given one injection, and some were given two injections.
No Vaccine
One Injection
Two Injections
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8
11
27
No Flu
289
51
122
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Chapter 7 Solutions
EBK FINITE MATHEMATICS AND CALCULUS WIT
Ch. 7.1 - Prob. 1YTCh. 7.1 - Prob. 2YTCh. 7.1 - Find the number of subsets for the set {x|x is a...Ch. 7.1 - Prob. 4YTCh. 7.1 - Prob. 5YTCh. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5E
Ch. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - In Exercises 110, write true or false for each...Ch. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Insert or to make each statement true. 30. {3,...Ch. 7.1 - Insert or to make each statement true. 31. {1,...Ch. 7.1 - Insert or to make each statement true. 32. {0,...Ch. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - General Interest 70. Musicians A concert featured...Ch. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Prob. 75ECh. 7.1 - Prob. 76ECh. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Prob. 79ECh. 7.2 - Prob. 1YTCh. 7.2 - Prob. 2YTCh. 7.2 - One hundred students were asked which fast food...Ch. 7.2 - A group of students are sitting in the lounge. All...Ch. 7.2 - Prob. 1WECh. 7.2 - Prob. 2WECh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Draw a Venn diagram and use the given information...Ch. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Business and Economics Use Venn diagrams to answer...Ch. 7.2 - Harvesting Fruit Toward the middle of the...Ch. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Investment Survey Most mathematics professors love...Ch. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Lyme Disease Scientists have found a way to...Ch. 7.2 - Social Sciences 51. Military The number of female...Ch. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Poultry Analysis A chicken farmer surveyed his...Ch. 7.3 - Prob. 1YTCh. 7.3 - Prob. 2YTCh. 7.3 - Prob. 3YTCh. 7.3 - Prob. 4YTCh. 7.3 - Prob. 5YTCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Define an event.Ch. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - For the experiments in Exercises 1318, write out...Ch. 7.3 - For the experiments in Exercises 1318, write out...Ch. 7.3 - For the experiments in Exercises 1318, write out...Ch. 7.3 - For the experiments in Exercises 1318, write out...Ch. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Civil War Estimates of the Confederate Armys...Ch. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.4 - In Example 1, find the probability of an ace or a...Ch. 7.4 - Prob. 2YTCh. 7.4 - Prob. 3YTCh. 7.4 - If the probability of snow tomorrow is 3/10, find...Ch. 7.4 - Prob. 5YTCh. 7.4 - If the odds against a particular horse winning a...Ch. 7.4 - Prob. 1WECh. 7.4 - Prob. 2WECh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Decide whether the events in Exercises 38 are...Ch. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Two dice are rolled. Find the probabilities of the...Ch. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Kristina Karganova invites 13 relatives to a...Ch. 7.4 - Prob. 19ECh. 7.4 - The numbers 1, 2, 3, 4, and 5 are written on slips...Ch. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - What is a probability distribution?Ch. 7.4 - What conditions must hold for a probability...Ch. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - Prob. 38ECh. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Doctor Visit The probability that a visit to a...Ch. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7.4 - Prob. 64ECh. 7.4 - Prob. 65ECh. 7.4 - Prob. 66ECh. 7.4 - Prob. 67ECh. 7.4 - Prob. 68ECh. 7.4 - Prob. 69ECh. 7.4 - Prob. 70ECh. 7.4 - Prob. 71ECh. 7.5 - In Example 1, find P(A|B). EXAMPLE 1 Stocks Use...Ch. 7.5 - Prob. 2YTCh. 7.5 - Prob. 3YTCh. 7.5 - At a local college, 4/5 of the students live on...Ch. 7.5 - Prob. 5YTCh. 7.5 - Prob. 6YTCh. 7.5 - Prob. 7YTCh. 7.5 - Prob. 8YTCh. 7.5 - Prob. 1WECh. 7.5 - Prob. 2WECh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Decide whether the following pairs of events are...Ch. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Decide whether the following pairs of events are...Ch. 7.5 - In the previous section, we described an...Ch. 7.5 - In the previous section, we described an...Ch. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Another friend asks you to explain how to tell...Ch. 7.5 - Prob. 28ECh. 7.5 - Let A and B be independent events with P(A)=14 and...Ch. 7.5 - Prob. 30ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - Prob. 40ECh. 7.5 - Prob. 41ECh. 7.5 - Backup Computers Corporations where a computer is...Ch. 7.5 - Prob. 43ECh. 7.5 - Prob. 44ECh. 7.5 - Prob. 45ECh. 7.5 - Prob. 46ECh. 7.5 - Prob. 47ECh. 7.5 - Prob. 48ECh. 7.5 - Genetics Assuming that boy and girl babies are...Ch. 7.5 - Prob. 50ECh. 7.5 - Genetics Assuming that boy and girl babies are...Ch. 7.5 - Prob. 52ECh. 7.5 - Prob. 53ECh. 7.5 - Prob. 54ECh. 7.5 - Prob. 55ECh. 7.5 - Prob. 56ECh. 7.5 - Prob. 57ECh. 7.5 - Prob. 58ECh. 7.5 - Prob. 59ECh. 7.5 - Prob. 60ECh. 7.5 - Prob. 61ECh. 7.5 - Prob. 62ECh. 7.5 - Prob. 63ECh. 7.5 - Prob. 64ECh. 7.5 - Prob. 65ECh. 7.5 - Prob. 66ECh. 7.5 - Prob. 67ECh. 7.5 - Prob. 68ECh. 7.5 - Prob. 69ECh. 7.5 - Prob. 70ECh. 7.5 - Prob. 71ECh. 7.5 - Prob. 72ECh. 7.5 - Prob. 73ECh. 7.5 - Prob. 74ECh. 7.5 - Prob. 75ECh. 7.5 - Prob. 76ECh. 7.5 - Prob. 77ECh. 7.5 - Prob. 78ECh. 7.5 - Prob. 79ECh. 7.5 - Prob. 80ECh. 7.5 - Prob. 81ECh. 7.5 - Prob. 82ECh. 7.5 - Prob. 83ECh. 7.5 - Prob. 84ECh. 7.5 - Prob. 85ECh. 7.5 - Prob. 86ECh. 7.5 - Basketball A basketball player is fouled and now...Ch. 7.5 - Basketball The same player from Exercise 87 is now...Ch. 7.5 - Prob. 89ECh. 7.5 - Prob. 90ECh. 7.6 - The probability that a student will pass a math...Ch. 7.6 - Prob. 2YTCh. 7.6 - Prob. 1WECh. 7.6 - Prob. 2WECh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Suppose you have three jars with the following...Ch. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - Job Qualifications Of all the people applying for...Ch. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Colorectal Cancer Researchers found that only one...Ch. 7.6 - Hepatitis Blood Test The probability that a person...Ch. 7.6 - Sensitivity and Specificity The sensitivity of a...Ch. 7.6 - Prob. 26ECh. 7.6 - Smokers A health study tracked a group of persons...Ch. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Murder During the murder trial of O. J. Simpson,...Ch. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7.6 - Prob. 39ECh. 7.6 - Three Prisoners The famous problem of three...Ch. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Write true or false for each statement. 15. 2 {0,...Ch. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - In Exercises 3338, let U = {all employees of the...Ch. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Prob. 61RECh. 7 - Prob. 62RECh. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - Find the odds in favor of a card drawn from an...Ch. 7 - Prob. 67RECh. 7 - Prob. 68RECh. 7 - Prob. 69RECh. 7 - Prob. 70RECh. 7 - Prob. 71RECh. 7 - Prob. 72RECh. 7 - Prob. 73RECh. 7 - Prob. 74RECh. 7 - Prob. 75RECh. 7 - Prob. 76RECh. 7 - Prob. 77RECh. 7 - An urn contains 10 balls: 4 red and 6 blue. A...Ch. 7 - Prob. 79RECh. 7 - Prob. 80RECh. 7 - Prob. 81RECh. 7 - Prob. 82RECh. 7 - Prob. 83RECh. 7 - Prob. 84RECh. 7 - Prob. 85RECh. 7 - Prob. 86RECh. 7 - Prob. 87RECh. 7 - Prob. 88RECh. 7 - Prob. 89RECh. 7 - Prob. 90RECh. 7 - Prob. 91RECh. 7 - Prob. 92RECh. 7 - Prob. 93RECh. 7 - Prob. 94RECh. 7 - Prob. 95RECh. 7 - Prob. 96RECh. 7 - Prob. 97RECh. 7 - Prob. 98RECh. 7 - Prob. 99RECh. 7 - Prob. 100RECh. 7 - Prob. 101RECh. 7 - Prob. 102RECh. 7 - Prob. 103RECh. 7 - Prob. 104RECh. 7 - Defective Items A manufacturer buys items from...Ch. 7 - Prob. 106RECh. 7 - Prob. 107RECh. 7 - Auto Insurance An auto insurance company has...Ch. 7 - Prob. 109RECh. 7 - Insurance An insurance company estimates that 40%...Ch. 7 - Prob. 111RECh. 7 - Prob. 112RECh. 7 - Prob. 113RECh. 7 - Elections In the 2012 presidential election, over...Ch. 7 - Prob. 115RECh. 7 - Prob. 116RECh. 7 - Prob. 117RECh. 7 - Prob. 118RECh. 7 - Earthquake It has been reported that government...Ch. 7 - Prob. 120RECh. 7 - Prob. 121RECh. 7 - Prob. 122RECh. 7 - Prob. 123RECh. 7 - Prob. 124RECh. 7 - Prob. 125RE
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- Suppose a study investigated the effects of vitamin A, vitamin C, and omega-3 fatty acids supplements on improving eye health and vision. 300 adults volunteered to take part in the study. In the study, participants were randomly assigned to one of 3 different levels of Vitamin A (Level A, Level B, or Level C) and randomly assigned to one of 2 different levels of Vitamin C (Level 1 or Level 2) and randomly assigned to one of 2 different levels of omega-3 fatty acid (Level I or Level II). a. Identify the subjects of the study. b. Identify the factor(s) for the study and the number of treatment level(s) for each factor. c. How many different treatment groups are there in this study?arrow_forwardAn experiment to determine if a migraine medication decreases a person's average number of monthly migraines is performed on 400 people who report they have several migraines a month. Researchers randomly assigned 200 people to the treatment group and 200 people to the control group. After the study, the researchers determined that 48 of the subjects in the treatment group and 28 of the subjects in the control group average fewer migraines per month. The data from the two groups are resampled 150 times, and the table shows the distribution of the differences of the proportions for the reconfigured treatment and control groups.arrow_forwardSuppose that experiment to see if taking vitamin C, vitamin D, or both, help prevent or reduce cold symptoms was conducted based on a random sample of 1981 individuals, Subjects were assigned to receive vitamin C only, vitamin D only, vitamin C and D, or placebo, and then were monitored for the duration of the cold season to see if they developed a cold or not. The results were tabulated in a two-way table in which the column variables were the vitamin supplements and the row variables were the cold responses. Researchers then conducted a chi-square test for independence to see if cold responses and vitamin supplements are dependent. How many degrees of freedom does the chi-square statistic have? df=arrow_forward
- A medical student at a community college in city Q wants to study the factors affecting the systolic blood pressure of a person (Y). Generally, the systolic blood pressure depends on the BMI of a person (B) and the age of the person A. She wants to test whether or not the BMI has a significant effect on the systolic blood pressure, keeping the age of the person constant. For her study, she collects a random sample of 150 patients from the city and estimates the following regression function: Y= 15.50 +0.90B + 1.10A. (0.48) (0.35) The test statistic of the study the student wants to conduct (Ho: B, =0 vs. H4: B, #0), keeping other variables constant is. (Round your answer to two decimal places.) At the 5% significance level, the student will v the null hypothesis. Keeping BMI constant, she now wants test whether the age of a person (A) has no significant effect or a positive effect on the person's systolic blood pressure. So, the test statistic associated with the one-sided test the…arrow_forwardIn various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and fourth coinage (variable Coin4) which was produced a number of years later. it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel's reign. You are about to investigate this question using a two- sample t-interval. COINS (21.MWX Two-Sample T-Test and CI: Coin1, Coin4 A COINS (2)MWX Two-Sample T-Test and Cl: Coin4, Coin1 Method Method mean of Coin1 Pa mean of Coind Difference u- 4 mean of Coin4 z mean of Coint Difference: - Vz Equal variances ore assumed for this analysis Equal variances ore assumed for this…arrow_forwardThe impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.arrow_forward
- A social psychologist studying mass communication randomly assigned 77 volunteers to one of two experimental groups. Fifty-seven were instructed to get their news for a month only from television, and 20 were instructed to get their news for a month only from the Internet. After the month was up, all participants were tested on their knowledge of several political issues. The researcher simply predicted that there is some kind of difference. These were the results of the study. TV group: Mty = 22, S, = 2; Internet group: M, = 26.2, s = 3. The pooled variance, rounded to four decimal places, is 2.2533. Complete parts (a) and (b) below. (a) Figure the estimated effect size for this study. Let the TV group be sample 1 and let the Internet group be sample 2. The estimated effect size for this study isarrow_forwardSuppose we want to study the effect of smoking on lung capacity in women. Match the study to experimental or observational. Find 100 women age 20 who do not currently smoke. Randomly assign 50 of the 100 women to the smoking treatment and the other 50 to the no smoking treatment. Those in the smoking group smoke a pack a day for 10 years while those in the control group remain smoke free for 10 years. Measure lung capacity for each of the 100 women. Find 100 women age 30 of which 50 have been smoking a pack a day for 10 years while the other 50 have been smoke free for 10 years. Measure lung capacity for each of the 100 women. Analyze, interpret, and draw conclusions from data.arrow_forwardRecently, a researcher was visiting a local farmers market and saw a sign claiming that grain-fed chicken are consistently larger than chickens fed any other type of diet. Skeptical about the claim, he creates an experiment to see if type of diet has an effect on the weight of a chicken drumstick. He randomly assigns 58 chickens to each of four different diets (Diet 1, Diet 2, Diet 3 and Diet 4) and records the weight of each chicken's heavier drumstick in grams). Is there evidence of a difference in mean drumstick weight across the four diets? What is the response variable? Select one: O a. Chickens Ob. Drumstick weight O c. Diet O d. Grain-fed What is the explanatory variable? Select one: O a. Chickens O b. Drumstick Weight Ma ments the mean du g he O c. Diet L the ut rchickete Der hi delon edelfce h nt the mendu e ete DetLD O d. Grain-fed oa he ethe men ng n De the chicems eiecmd. What does the baxplats show about the center and spread of the different Diets? Select one: O a. The…arrow_forward
- Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined from 2001 to 2002. In this region, woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests makes up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data. Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 a) Write the hypotheses for testing if barking deer prefer to forage in certain habitats over others. Ho: All habitats are equally prefered vs HA: Cultivated grassplot habitats are prefered over others Ho: All habitats are equally prefered vs HA: Wood habitats are prefered over others Họ : All habitats are equally prefered vs HA: Some habitats are prefered over others Ho: All habitats are equally prefered vs HA: Deciduous habitats are prefered over others b) What type of test can we use to answer this…arrow_forwardIf there is no seasonal effects on human births, we would expect equal numbers of children to be born in each season (winter, spring, summer, and fall). A student takes a census of her statistics class and finds that of the 120 students in the class, 25 were born in winter, 35 in spring, 32 in summer, and 28 in fall. She wonders if the excess in the spring is an indication that births are not uniform throughout the year. What is the chi-square statistic? What is the p-value? ( 3 decimal places) What is your decision? What is your conclusion in context?arrow_forwardA CBS News poll conducted June 10 and 11, 2006, among a nationwide random sarmple of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," getting worse" or "about the same"). The results are shown in the table below.arrow_forward
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