1-Recent data on the various types of properties purchased in the major cities and suburbs show upward price trends. Historically, 20% of purchases were for condos, 27% were for townhouses, 39% for family homes, 4% for commercial properties and 10% for land. With the pandemic and changing demographics, agencies wonder if the current distribution matches the historical distribution. The most recent random sample of transactions are 74 condos, 120 townhouses, 168 single homes, 12 commercial, and 26 land properties. What is the p-value of the test statistic for testing the appropriate hypothesis addressing the agencies' concern?

2-A sample of 240 students from COMM 215 sections, class of winter 2021, was taken for an exploratory study of the course activities. Each member of a random sample of 40 of these students was asked to estimate the amount of time he or she spent on the previous week's assignments for quiz preparations. Suppose that the population standard deviation is 35 minutes. What is the probability that the sample mean differs from the population mean by more than 12 minutes?