A historian wants to estimate the average age at marriage fo

A historian wants to estimate the average age at marriage for women in New England in the early 19th century. Within her state archives she finds marriage records for the years 1800-1820. She takes a simple random sample of 1200 records and finds the average age is 24.1 years. She also records the county of residence for each woman. She then estimates that the average age of brides for the population was between 23.5 and 24.7 years.

(a) What is the population in this study?

(b) What is the sampling frame for the study?

(c) What is the sample in this study?

(d) What is the qualitative variable in this study?

(e) Is 24.1 years a statistic or a parameter?

(f) Which part of the study is inferential?

Solution

(a) What is the population in this study = 1200

(b) What is the sampling frame for the study = 1800-1820

(c) What is the sample in this study = state archives records of marriage

(d) What is the qualitative variable in this study = the county of residence for each woman

(e) Is 24.1 years a statistic or a parameter = statistic

(f) Which part of the study is inferential = that the average age of brides for the population was between 23.5 and 24.7 years.