Example 1: Recent research suggests that a pregnancy within less than two years of a live birth might be associated with an increased risk of autism in second-born children. Below is a data set containing the ages of 15 siblings. Does the sample indicate that couples are waiting more than two years before getting pregnant with a second child? (Note that the average length of human gestation is 40 weeks which is approximately 0.77 years). Since this data is paired (and clearly not independent), we do not use the 2-Sample T-Interval or 2-Sample T-Test. Instead, we consider the pairwise differences. Using our calculator, enter the age of the first child into L1 and the age of the second child into L2. Move your cursor over L3 and enter L1-L2. Press Enter. L3 will fill with the pairwise differences. a) Conduct a t-Test to determine if couples are waiting more than two years before getting pregnant with a second child. Be sure to write the name of the test, state the hypotheses, find the p-value and test statistic, and state your conclusion. Use a significance level of 0.10. Paired t-Test Ho: Md = 2.77 На: мы 7 2.77 L1 First Child 7.08 5.29 2.75 5.92 4.23 4.17 3.13 6.31 5.38 4.67 8.57 6.28 2.92 4.38 5.5 L2 L3=11-L2 Second Child 3.5 3.81 0.83 2.79 3.02 1.38 1.55 1.92 2.81 3.15 4.23 3.67 0.56 1.15 2.23 Pairwise Difference 3.58 1.48 1.92 3.13 1.21 2.79 1.58 4.39 2.57 1.52 4.34 2.61 2.34 3.23 3.27
Example 1: Recent research suggests that a pregnancy within less than two years of a live birth might be associated with an increased risk of autism in second-born children. Below is a data set containing the ages of 15 siblings. Does the sample indicate that couples are waiting more than two years before getting pregnant with a second child? (Note that the average length of human gestation is 40 weeks which is approximately 0.77 years). Since this data is paired (and clearly not independent), we do not use the 2-Sample T-Interval or 2-Sample T-Test. Instead, we consider the pairwise differences. Using our calculator, enter the age of the first child into L1 and the age of the second child into L2. Move your cursor over L3 and enter L1-L2. Press Enter. L3 will fill with the pairwise differences. a) Conduct a t-Test to determine if couples are waiting more than two years before getting pregnant with a second child. Be sure to write the name of the test, state the hypotheses, find the p-value and test statistic, and state your conclusion. Use a significance level of 0.10. Paired t-Test Ho: Md = 2.77 На: мы 7 2.77 L1 First Child 7.08 5.29 2.75 5.92 4.23 4.17 3.13 6.31 5.38 4.67 8.57 6.28 2.92 4.38 5.5 L2 L3=11-L2 Second Child 3.5 3.81 0.83 2.79 3.02 1.38 1.55 1.92 2.81 3.15 4.23 3.67 0.56 1.15 2.23 Pairwise Difference 3.58 1.48 1.92 3.13 1.21 2.79 1.58 4.39 2.57 1.52 4.34 2.61 2.34 3.23 3.27
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
100%
Please explain how they recieced 2.77 as the mean difference. Please step by step
Transcribed Image Text:Example 1: Recent research suggests that a pregnancy within less than two years of a live birth might be
associated with an increased risk of autism in second-born children. Below is a data set containing the
ages of 15 siblings. Does the sample indicate that couples are waiting more than two years before getting
pregnant with a second child? (Note that the average length of human gestation is 40 weeks which is
approximately 0.77 years).
Since this data is paired (and clearly not independent), we do not
use the 2-Sample T-Interval or 2-Sample T-Test. Instead, we
consider the pairwise differences.
Using our calculator, enter the age of the first child into L1 and the
age of the second child into L2. Move your cursor over L3 and enter
L1 L2. Press Enter. L3 will fill with the pairwise differences.
a) Conduct a t-Test to determine if couples are waiting more
than two years before getting pregnant with a second child.
Be sure to write the name of the test, state the hypotheses,
find the p-value and test statistic, and state your conclusion.
Use a significance level of 0.10.
Paired t-Test
Ho: Md = 2.77
HA: Md > 2.77
L1
First
Child
7.08
5.29
2.75
5.92
4.23
4.17
3.13
6.31
5.38
4.67
8.57
6.28
2.92
4.38
5.5
L2 L3=11-12
Second
Pairwise
Child
Difference
3.5
3.81
0.83
2.79
3.02
1.38
1.55
1.92
2.81
3.15
4.23
3.67
0.56
1.15
2.23
3.58
1.48
1.92
3.13
1.21
2.79
1.58
4.39
2.57
1.52
4.34
2.61
2.34
3.23
3.27
Created with Doceri
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 5 steps
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