1) The mean area of homes in a certain city built in 2009 was 2438 square feet. Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,282 square feet, with a standard deviation of 225 square feet. An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009. Compute theP-value of the test.

2) In a study to determine whether counseling could help people lose weight, a sample of people experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 5 people

18.2, 3.9, 17.1, 8.8, 4.9

It is reasonable to assume that the population is approximately normal. A researcher wants to know whether the mean weight loss is greater than 10 pounds. Compute theP-value of the test.

Write only a number as your answer. Round to four decimal places (for example: 0.3841).