### S 150 Statistics Review Worksheet 1.4 and 5.1 Fall 2003 • Name:

## Oh Baby!

#### Age Specific Fertility

To look at the recent age structure of births, the age group of mothers can classify children born in the past year. This tabulation enables the calculation of age specific fertility rates (ASFR), that is the average number of children born to each woman in an age group during the year.

Number of babies born in 1999 by age group
Age | Reported Births | Rel Freq | Mean |

15 | 243 | __________ | __________ |

20 | 749 | __________ | __________ |

25 | 744 | __________ | __________ |

30 | 575 | __________ | __________ |

35 | 354 | __________ | __________ |

40 | 161 | __________ | __________ |

45 | 35 | __________ | __________ |

Sum: | __________ | __________ | __________ |

- __________ Find the sample size n.
- __________ How many babies were born in the FSM in 1999?
- __________ Find the sample mean age at which women in the FSM achieve peak baby production.
- Sketch a relative frequency histogram of the data here or on the back, labeling your horizontal axis and vertical axis as appropriate.
- __________ What is the shape of the distribution?
- __________ Determine the probability that a baby will be born to a 15 to 19 year old woman.
- __________ Determine P(x ≥ = 40)
- Given a sample standard deviation of 6.97, construct a 95% confidence interval for the population mean age at which women in the FSM achieve peak baby production.

____________________ ≥ µ ≥ ____________________
- Due to FSM Congress budget constraints, the college is capping system-wide enrollment at 2500 students. When the 1999 age cohort heads to college in 18 years, will they all get to enroll?