Marriage In 1970, a European study indicated that the age at which women first married in Europe had a mean of 22.7 years.

It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased since then.

(https://ec.europa.eu/eurostat/statistics-explained/index.php?title=

Main_Page & https://soc.kuleuven.be/ceso/historischedemografie/

resources/pdf/WOG%20working%20paper15.pdf)

a) Write appropriate hypotheses.

b) We plan to test our hypothesis by selecting a random sample of 60 women who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain.

c) Describe the approximate sampling distribution model for the mean age in such samples.

d) The women in our sample married at an average age of 23.6 years with a standard deviation of 4.2 years. That results in a t-statistic of 1.66. What is the P-value for this?

e) Explain what this P-value means in this context.

f) What’s your conclusion?