2. At wind speeds above 1000 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. 75 wind speed readings gave an average velocity of x =1045 cm/sec. Based on long-term experience, o can be assumed to be 240 cm/sec. a. Find a 99% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number) (DO A MANUAL CALCULATION, SHOWING ALL WORK INCLUDING THE EQUATION USED AND THEN WITH ALL VALUES PLUGGED INTO THE EQUATION) (SHOW WORK ABOVE) [final answer] Margin of Error: E = (value with units) [final answer] Confidence Interval : (value with units) (correct symbol) (value with units) b. Can you conclude that when the wind speed is equal to the population mean wind speed whether the sand is moving or not? Explain. Remember that the population mean is a particular value (we just don't know it, we just have an interval that we think contains it), and we want to think about when the wind speed is at that particular value. HINT: It depends on whether the cutoff wind speed of 1000 is in relation to the interval representing the population mean wind speed