a) Estimate the average age at first marriage of women using a 95% confidence interval. ( ____ , _____ ) b) Interpret the confidence interval in context. The researchers can be 95% confident that any sample of women's ages at their first marriage would be within this confidence interval The researchers can be 95% confident that the population mean age of women at their first marriage is within our confidence interval 95% of women have their first marriage when their age is within our confidence interval
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 23.44 with a standard deviation of 4.72 (NSFG, 2010).
(please round ages to two decimal places)
a) Estimate the average age at first marriage of women using a 95% confidence interval.
( ____ , _____ )
b) Interpret the confidence interval in context.
- The researchers can be 95% confident that any sample of women's ages at their first marriage would be within this confidence interval
- The researchers can be 95% confident that the population
mean age of women at their first marriage is within our confidence interval
- 95% of women have their first marriage when their age is within our confidence interval
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