On average, Americans have lived in 4 places by the time they are 18 years old. Is this average a different number for college students? The 41 randomly selected college students who answered the survey question had lived in an average of 4.16 places by the time they were 18 years old. The standard deviation for the survey group was 0.8. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 2 Select an answer v H: ?v Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.)
On average, Americans have lived in 4 places by the time they are 18 years old. Is this average a different number for college students? The 41 randomly selected college students who answered the survey question had lived in an average of 4.16 places by the time they were 18 years old. The standard deviation for the survey group was 0.8. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 2 Select an answer v H: ?v Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.)
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
Question
![places that college students lived in by the time they were 18 years old is different from 4.
O The data suggest that the sample mean is not significantly different from 4 at o = 0.01, so
there is statistically insignificant evidence to conclude that the sample mean number of places
that college students lived in by the time they were 18 years old is different from 4.16.
h. Interpret the p-value in the context of the study.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students then there would be a
20.77015668% chance that the population mean would either be less than 4 or greater than
4.16.
O There is a 20.77015668% chance that the population mean number of places that college
students lived in by the time they were 18 years old is not equal to 4.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students, then there would be a
20.77015668% chance that the sample mean for these 41 college students would either be less
than 4 or greater than 4.16.
O There is a 20.77015668% chance of a Type I error.
i. Interpret the level of significance in the context of the study.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students, then there would be a 1%
chance that we would end up falsely concluding that the population mean number of places
that college students lived in by the time they were 18 years old is different from 4.
O If the population mean number of places that college students lived in by the time they were
18 years old is different from 4 and if you survey another 41 college students, then there would
be a 1% chance that we would end up falsely concluding that the population mean number of
places that college students lived in by the time they were 18 years old is equal to 4.
O There is a 1% chance that none of this is real since you have been hooked up to virtual reality
since you were born.
O There is a 1% chance that the population mean number of places that college students lived in
by the time they were 18 years old is different from 4.
Hint:
Helpful Videos: Calculations [+] Setup [+] Interpretations [+]
Help
Type here to search](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b59129c-6c84-41cb-a177-8e6fd8608faf%2Fca60d557-11ae-4542-bc6b-4d67a293e834%2F6po8dj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:places that college students lived in by the time they were 18 years old is different from 4.
O The data suggest that the sample mean is not significantly different from 4 at o = 0.01, so
there is statistically insignificant evidence to conclude that the sample mean number of places
that college students lived in by the time they were 18 years old is different from 4.16.
h. Interpret the p-value in the context of the study.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students then there would be a
20.77015668% chance that the population mean would either be less than 4 or greater than
4.16.
O There is a 20.77015668% chance that the population mean number of places that college
students lived in by the time they were 18 years old is not equal to 4.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students, then there would be a
20.77015668% chance that the sample mean for these 41 college students would either be less
than 4 or greater than 4.16.
O There is a 20.77015668% chance of a Type I error.
i. Interpret the level of significance in the context of the study.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students, then there would be a 1%
chance that we would end up falsely concluding that the population mean number of places
that college students lived in by the time they were 18 years old is different from 4.
O If the population mean number of places that college students lived in by the time they were
18 years old is different from 4 and if you survey another 41 college students, then there would
be a 1% chance that we would end up falsely concluding that the population mean number of
places that college students lived in by the time they were 18 years old is equal to 4.
O There is a 1% chance that none of this is real since you have been hooked up to virtual reality
since you were born.
O There is a 1% chance that the population mean number of places that college students lived in
by the time they were 18 years old is different from 4.
Hint:
Helpful Videos: Calculations [+] Setup [+] Interpretations [+]
Help
Type here to search
Transcribed Image Text:On average, Americans have lived in 4 places by the time they are 18 years old. Is this average a different
number for college students? The 41 randomly selected college students who answered the survey question
had lived in an average of 4.16 places by the time they were 18 years old. The standard deviation for the
survey group was 0.8. What can be concluded at the a = 0.01 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? vSelect an answer v
H: ?vSelect an answer v
c. The test statistic
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that...
O The data suggest that the population mean is not significantly different from 4 at a = 0.01, so
there is statistically insignificant evidence to conclude that the population mean number of
places that college students lived in by the time they were 18 years old is different from 4.
O The data suggest that the populaton mean is significantly different from 4 at a = 0.01, so
there is statistically significant evidence to conclude that the population mean number of
places that college students lived in by the time they were 18 years old is different from 4.
O The data suggest that the sample mean is not significantly different from 4 at a = 0.01, so
there is statistically insignificant evidence to conclude that the sample mean number of places
that college students lived in by the time they were 18 years old is different from 4.16.
h. Interpret the p-value in the context of the study.
O If the population mean number of places that college students lived in by the time they were
18 years old is 4 and if you survey another 41 college students then there would be a
20.77015668% chance that the population mean would either be less than 4 or greater than
4.16.
O There is a 20.77015668% chance that the population mean number of places that college
students lived in by the time they were 18 years old is not equal to 4.
O If the poDulation mean number of places that college students lived in by the time they were
Type here to search
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
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