4.16 Age at first marriage, Part I: The National Survey of Family Growth conducted by the Centers for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men's and women's health. One of the variables collected on this survey is the age at first marriage. The histogram below shows the distribution of ages at first marriage of 5,534 randomly sampled women between 2006 and 2010. The average age at first marriage among these women is 23.3 with a standard deviation of 4.7 (approximate values from NSFG, 2010). USE THE TI CALCULATOR (Z-INTERVAL) or equivalent to compute your values. Use the standard deviation value of 4.7 for a (please round ages to two 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
icon
Related questions
Question
4.16 Age at first marriage, Part I: The National Survey of Family Growth conducted by the Centers for
Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of
contraception, and men's and women's health. One of the variables collected on this survey is the age at
first marriage. The histogram below shows the distribution of ages at first marriage of 5,534 randomly
sampled women between 2006 and 2010. The average age at first marriage among these women is 23.3
with a standard deviation of 4.7 (approximate values from NSFG, 2010).
USE THE TI CALCULATOR (Z-INTERVAL) or equivalent to compute your values. Use the standard deviation
value of 4.7 for o
(please round ages to two decimal places)
1000-
800-
600-
400-
200-
10
15
20
25
30
Age at first marriage
35
40
a) Estimate the average age at first marriage of women using a 95% confidence interval.
(23.3356
23.5444
45
b) Interpret the confidence interval in context.
O The researchers can be 95% confident that the population mean age of women at their first marriage
is within our confidence interval
O The researchers can be 95% confident that any sample of women's ages at their first marriage would
be within this confidence interval
95% of women have their first marriage when their age is within our confidence interval
Transcribed Image Text:4.16 Age at first marriage, Part I: The National Survey of Family Growth conducted by the Centers for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men's and women's health. One of the variables collected on this survey is the age at first marriage. The histogram below shows the distribution of ages at first marriage of 5,534 randomly sampled women between 2006 and 2010. The average age at first marriage among these women is 23.3 with a standard deviation of 4.7 (approximate values from NSFG, 2010). USE THE TI CALCULATOR (Z-INTERVAL) or equivalent to compute your values. Use the standard deviation value of 4.7 for o (please round ages to two decimal places) 1000- 800- 600- 400- 200- 10 15 20 25 30 Age at first marriage 35 40 a) Estimate the average age at first marriage of women using a 95% confidence interval. (23.3356 23.5444 45 b) Interpret the confidence interval in context. O The researchers can be 95% confident that the population mean age of women at their first marriage is within our confidence interval O The researchers can be 95% confident that any sample of women's ages at their first marriage would be within this confidence interval 95% of women have their first marriage when their age is within our confidence interval
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman