Z test for mean (please show work)

1. The average U.S. wedding includes 125 guests. A random sample of 35 weddings in a particular county had a mean of 110 guests and a standard deviation of 30. Is there sufficient evidence at a = .01 level of significance that the average number of guests differs from 125. 2. Several years ago, the average size of farms in U.S. was 47.1 acres. A random sample of 50 farms showed the mean size of the farms was 43.2 acres with the sample satndard deviation of 8.6 acres. Test the claim at a = .05 level of significance that average farm size is smaller today. Use P-value Method