Question: A local humane society tracks the mean number of dogs in households that have at least one dog. In the past this mean has been 1.7. A new survey was done, and in a sample of 1000 households it showed a mean of 1.9 with a standard deviation of 0.3. Use a 0.05 significance level to test the claim that this sample comes from a population with a mean greater than 1.7.