Lake Powell in Colorado was created after the construction of the Glen Canyon Dam and has more than 2000 miles of shoreline. It is one of the largest man-made reservoirs in the United States and...

Lake Powell in Colorado was created after the construction of the Glen Canyon Dam and has more than 2000 miles of shoreline. It is one of the largest man-made reservoirs in the United States and provides water to Arizona, Nevada, and California. A random sample of outflow (in cfs) per day from Lake Powell was obtained, and the data are given in the following table.

To maintain an adequate water supply, the outflow from Lake Powell should be approximately 11,000 cfs per day. Assume the underlying distribution of outflow is continuous. Use the sign test with a = 0.05 to determine whether there is any evidence that the median outflow per day is less than 11,000 cfs.

Farms across the country have old agricultural chemicals stored in deteriorating containment vessels that pose a threat to humans. The U.S. Department of Agriculture has started a program to clean up and properly dispose of these unusable chemicals. A sample of farms was randomly selected, and the amount of DDT still stored on each farm was recorded. The data (in kg) are given in the following table.