Scores for a common standardized college aptitude test are normally distributed with a mean of 504 and a standard deviation of 101. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 562.3. P(X > 562.3) = Enter your answer as a number accurate to 4 decimal places. If 12 of the men are randomly selected, find the probability that their mean score is at least 562.3. P(M > 562.3) = Enter your answer as a number accurate to 4 decimal places. Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. If the random sample of 12 men does result in a mean score of 562.3, is there strong evidence to support the claim that the course is actually effective? No. The probability indicates that it is too possible by chance alone to randomly select a group of students with a mean as high as 562.3. Yes. The probability indicates that it is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 562.
Scores for a common standardized college aptitude test are normally distributed with a mean of 504 and a standard deviation of 101. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 562.3. P(X > 562.3) = Enter your answer as a number accurate to 4 decimal places. If 12 of the men are randomly selected, find the probability that their mean score is at least 562.3. P(M > 562.3) = Enter your answer as a number accurate to 4 decimal places. Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. If the random sample of 12 men does result in a mean score of 562.3, is there strong evidence to support the claim that the course is actually effective? No. The probability indicates that it is too possible by chance alone to randomly select a group of students with a mean as high as 562.3. Yes. The probability indicates that it is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 562.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Scores for a common standardized college aptitude test are normally distributed with a mean of 504 and a standard deviation of 101. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.
If 1 of the men is randomly selected, find theprobability that his score is at least 562.3.
P(X > 562.3) =
Enter your answer as a number accurate to 4 decimal places.
If 12 of the men are randomly selected, find the probability that their mean score is at least 562.3.
P(M > 562.3) =
Enter your answer as a number accurate to 4 decimal places.
Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. If the random sample of 12 men does result in a mean score of 562.3, is there strong evidence to support the claim that the course is actually effective?
If 1 of the men is randomly selected, find the
P(X > 562.3) =
Enter your answer as a number accurate to 4 decimal places.
If 12 of the men are randomly selected, find the probability that their mean score is at least 562.3.
P(M > 562.3) =
Enter your answer as a number accurate to 4 decimal places.
Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. If the random sample of 12 men does result in a mean score of 562.3, is there strong evidence to support the claim that the course is actually effective?
- No. The probability indicates that it is too possible by chance alone to randomly select a group of students with a mean as high as 562.3.
- Yes. The probability indicates that it is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 562.3.
There are THREE parts to this question please read carefully
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman