In 1960, census results indicated that the age at which men in a certain region first married had a mean of 24.9 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased since then. Complete parts a through f below. a) Write appropriate hypotheses. Hop=24.9 HA >24.9 b) We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain. satisfied and the Nearly Normal Condition satisfied because The independence condition Student-t model for inference reliable c) Describe the approximate sampling distribution model for the test statistic. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers, using radicals as needed.) OA. The test statistic has the form t= OB. The test statistic has the form t = OC. The test statistic has the form t = y-Po SE (y) y-p SE (y) where o where Po Show transcribed data and SE (y) =s. This follows a t distribution with and SE (y) = This follows a t distribution with y-P , where and SE() = This follows a normal distribution. SE (y) degrees of freedom. degrees of freedom. d) The men in our sample married at an average age of 25.7 years, with a standard deviation of 5.4 years. That results in a t-statistic of 0.937. What is the P-value for this? The P-value is (Round to three decimal places as needed.) e) Explain (in context) what this P-value means. The P-value is the probability f) What is your conclusion? Use a=0.05. the null hypothesis. There from natural sampling variation given that sufficient evidence to conclude that the mean age of first marriage is ▼ the mean age in 1960. Therefore, using the
In 1960, census results indicated that the age at which men in a certain region first married had a mean of 24.9 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased since then. Complete parts a through f below. a) Write appropriate hypotheses. Hop=24.9 HA >24.9 b) We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain. satisfied and the Nearly Normal Condition satisfied because The independence condition Student-t model for inference reliable c) Describe the approximate sampling distribution model for the test statistic. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers, using radicals as needed.) OA. The test statistic has the form t= OB. The test statistic has the form t = OC. The test statistic has the form t = y-Po SE (y) y-p SE (y) where o where Po Show transcribed data and SE (y) =s. This follows a t distribution with and SE (y) = This follows a t distribution with y-P , where and SE() = This follows a normal distribution. SE (y) degrees of freedom. degrees of freedom. d) The men in our sample married at an average age of 25.7 years, with a standard deviation of 5.4 years. That results in a t-statistic of 0.937. What is the P-value for this? The P-value is (Round to three decimal places as needed.) e) Explain (in context) what this P-value means. The P-value is the probability f) What is your conclusion? Use a=0.05. the null hypothesis. There from natural sampling variation given that sufficient evidence to conclude that the mean age of first marriage is ▼ the mean age in 1960. Therefore, using the
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
Transcribed Image Text:In 1960, census results indicated that the age at which men in a certain region first married had a
mean of 24.9 years. It is widely suspected that young people today are waiting longer to get married.
We want to find out if the mean age of first marriage has increased since then. Complete parts a
through f below.
a) Write appropriate hypotheses.
Hop=24.9
HA >24.9
b) We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain.
satisfied and the Nearly Normal Condition
satisfied because
The independence condition
Student-t model for inference
c) Describe the approximate sampling distribution model for the test statistic. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type exact answers, using radicals as needed.)
y-P
where = and SE()
SE (y)
and
y-P
SE (y)
OA. The test statistic has the form t =
OB. The test statistic has the form t=
reliable.
OC. The test statistic has the form t =
where Po
Show transcribed data
SE (y) =s. This follows a t distribution with
=
and SE (y) =
y-P
, where and SE (Y) =. This follows a normal distribution.
SE (y)
This follows at distribution with
degrees of freedom.
degrees of freedom.
d) The men in our sample married at an average age of 25.7 years, with a standard deviation of 5.4 years. That results in a t-statistic of 0.937. What is the P-value for this?
The P-value is
(Round to three decimal places as needed.)
e) Explain (in context) what this P-value means.
The P-value is the probability
f) What is your conclusion? Use a= 0.05.
the null hypothesis. There
from natural sampling variation given that
sufficient evidence to conclude that the mean age of first marriage is
Y
the mean age in 1960.
Therefore, using the
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 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