A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use?1 for the mean number of families with no children. At ?=0.01, is there a difference between the means? Use the critical value method and tables.

No children 8.6 2.6 22 Children 10.1 2.7 22