Question: A geophysicist plans to research the amount of carbon dioxide being emitted due to volcanic activity from Mt. St. Helens by recording the levels of CO₂ over a period of 60 days. If the amount of carbon dioxide emitted from volcanic activity has a population mean of 42 ppm (parts per million) and a standard deviation of 7 ppm.

a. What is the mean of the distribution of \[\bar{x}\] ?

b. What is the standard deviation of the distribution of \[\bar{x}\] ?

c. What type of distribution does \[\bar{x}\] have? Why?

d. Determine P( \[\bar{x}\] > 44) to 4 decimals of accuracy.