In: Statistics and Probability
In 1960, census results indicated that the age at which Canadian men first married had a mean of 23.3 years! It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age if first marriage has increased during the past (approximately) 50 years. a) Write down an appropriate hypothesis. b) We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary conditions for inference are satisfied? Explain c) The men in our sample married at an average age of 24.2 years with a standard deviation of 5.3 years. What is the P-value for this result? d) Explain (in this context) what the P-value means. e) What’s your conclusion?