Carl, brian, dave, and ashley want to attend the same university. unfortunately only two spots remain and these four friends have the same gpa, as well as virtually identical community service and leadership experiences. therefore, the two spots will be determined by their sat and act scores. carl scored 1,280 on the sat, while brian scored 1,325. dave scored 28 on the act, while ashley scored 30. use z-scores to determine which two students should be admitted. the mean sat score was 1,000 with a standard deviation of 175 and the mean act score was 20.6 with a standard deviation of 5.2 both tests are normally distributed.

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec