Communications satellites in geostationary orbit are designed to have a high orbit of 35,800 kilometers If the mean apogee is greater than 35,800 km, there is a danger that the satellite will...

Communications satellites in geostationary orbit are designed to have a high orbit of 35,800 kilometers If the mean apogee is greater than 35,800 km, there is a danger that the satellite will temporarily lose contact with ground antennas. A random sample of geostationary satellites was obtained and the apogee for each was recorded. Assume

a. Is there any evidence to suggest that the true mean apogee for communication satellites is greater than 35,800 km? Use
 and compute the p value to draw a conclusion.

 b. Carefully sketch a graph to illustrate the p value in this hypothesis test.

Consider a hypothesis test concerning a population mean from a normal population with