Construct a 95% confidence interval estimate of the increase in the amount of time that men spent doing unpaid work around the house in 2009, compared with 2000, based on the data in Exercise 8 above.
In exercise
A random sample of 55 Canadian men aged 25 to 54 were asked to keep a daily log of the hours spent doing unpaid work around the home. The time was averaged over the week. The survey was conducted in 2000 and 2009. In 2000, the average number of hours men spent doing unpaid work around the home was 2.2, with a standard deviation of 0.6. In 2009, the average number of hours men spent doing unpaid work around the home was 2.6, with a standard deviation of 1.3. Both sample data sets appear to be normally distributed. At the 2.5% level of significance, is there evidence that the average number of hours men spent doing unpaid work around the home was higher in 2009 than in 2000?