MyLab Statistics with Pearson eText -- Standalone Access Card -- for Essentials of Statistics
6th Edition
ISBN: 9780134870113
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 4.4, Problem 28BSC
Phase I of a Clinical Trial A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For example, a phase I test of bexarotene involved only 14 subjects. Assume that we want to treat 14 healthy humans with this new drug and we have 16 suitable volunteers available.
a. If the subjects are selected and treated one at a time in sequence, how many different sequential arrangements are possible if 14 people are selected from the 16 that are available?
b. If 14 subjects are selected from the 16 that are available, and the 14 selected subjects are all treated at the same time, how many different treatment groups are possible?
c. If 14 subjects are randomly selected and treated at the same time, what is the
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Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung,
rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and
standard deviations are given in the accompanying table.
Treatment
n
Uneaten figs
20
2.80
0.30
Lizard dung
20
2.75
0.37
Bird dung
20
2.10
0.35
Hyrax dung
20
1.85
0.26
n USE SALT
(a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal
places and F statistic to two decimal places.)
Source of
Sum of
Mean
df
Variation
Squares
Square
Treatments
3
26.25
8.750
83.93…
Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they
recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table.
Treatment
Uneaten figs 20
2.80
0.30
Lizard dung
20
2.75
0.36
Bird dung
20
2.10
0.35
Hyrax dung
20
1.85 0.29
n USE SALT
(a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal places and F statistic to two decimal places.)
Source of
Variation
Sum of
Squares
Mean
df
Square
3
13.45
4.483333
42.08
Treatments…
Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each
group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment meens and standard deviations are given in the accompanying table.
Treatment n x
Uneaten figs 20 2.50 0.30
Lizard dung 20 2.45 0.35
Bird dung
20 1.80 0.37
|Нуrах dung
20 1.550.29
A USE SALT
(a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.0S. Round your mean squares to three decimal places and F statistic to two decimal places.)
Sum of
Squares
Source of
Mean
df
Variation
Square
Treatments
Error
Total
Use…
Chapter 4 Solutions
MyLab Statistics with Pearson eText -- Standalone Access Card -- for Essentials of Statistics
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Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - SAT Test When making a random guess for an answer...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - Randomness When using a computer to randomly...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Kentucky Pick 4 In the Kentucky Pick 4 lottery,...Ch. 4.1 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.1 - Kentucky Derby Odds When the horse California...Ch. 4.1 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.2 - Notation When randomly selecting an adult, A...Ch. 4.2 - Notation When randomly selecting adults, let M...Ch. 4.2 - Sample for a Poll There are 15,524,971 adults in...Ch. 4.2 - Rule of Complements When randomly selecting an...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20; use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - Redundancy. 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In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - Redundancy in Computer Hard Drives Assume that...Ch. 4.3 - Redundancy in Stadium Generators Large stadiums...Ch. 4.3 - Composite Drug Test Based on the data in Table 4-1...Ch. 4.3 - Composite Water Samples The Fairfield County...Ch. 4.3 - Shared Birthdays Find the probability that of 25...Ch. 4.4 - Notation What does the symbol ! represent? 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- Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment n Uneaten figs 20 | 2.80 0.30 Lizard dung 20 2.75 0.36 Bird dung 20 2.10 0.35 Hyrax dung 20 1.85 0.29 n USE SALT (a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal places and F statistic to two decimal places.) Source of Variation Sum of Squares Mean df F Square Treatments 3 13.45 4.483333…arrow_forwardDo lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment x S Uneaten figs 20 2.80 0.30 Lizard dung 20 2.75 0.36 Bird dung 20 2.10 0.35 Hyrax dung 20 1.85 0.29 USE SALT (a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal places and F statistic to two decimal places.) Source of df Sum of Squares Mean Square F Variation Treatments Error Total Use…arrow_forwardDo lizards play a role in spreading plant seeds? Some research carried out in South Africa would suggest so. Researchers on a study collected 400 seeds of a particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment n x s Uneaten figs 20 2.50 0.30 Lizard dung 20 2.30 0.33 Bird dung 20 1.70 0.34 Hyrax dung 20 1.45 0.28 (a) Construct the appropriate ANOVA table. (Use technology. Round your answers to three decimal places.) Source ofvariation Degrees offreedom Sum ofsquares Meansquares F Ratio F Prob Between Groups Within Group Total 79 Test the hypothesis that there is no difference between mean number of seeds…arrow_forward
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